×

zbMATH — the first resource for mathematics

Di Nola, Antonio

Compute Distance To:
Author ID: di-nola.antonio Recent zbMATH articles by "Di Nola, Antonio"
Published as: Di Nola, A.; Di Nola, Antonio; Nola, Antonio Di; di Nola, A.; di Nola, Antonio
Homepage: https://docenti.unisa.it/003255/en/curriculum
External Links: MGP · ORCID · ResearchGate · dblp
Documents Indexed: 204 Publications since 1977, including 4 Books
Reviewing Activity: 52 Reviews
Biographic References: 2 Publications
all top 5

Co-Authors

7 single-authored
51 Sessa, Salvatore
26 Pedrycz, Witold
25 Lettieri, Ada
23 Belluce, Lawrence Peter
22 Lenzi, Giacomo
16 Grigolia, Revaz
15 Ventre, Aldo Giuseppe Saverio
13 Dvurečenskij, Anatolij
11 Georgescu, George
9 Gerla, Brunella
8 Leuştean, Ioana
8 Vitale, Gaetano
5 Gerla, Giangiacomo
4 Ferraioli, Anna Rita
4 Kołodziejczyk, Waldemar
4 Russo, Ciro
4 Spada, Luca
3 Amato, Paolo
3 Ciaramella, Angelo
3 Esteva, Francesc
3 Godo, Lluís
3 Manara, Corrado
3 Navara, Mirko
3 Tagliaferri, Roberto
3 Wang, Peizhuang
2 Bede, Barnabás
2 Flondor, Paul
2 Garcia, Pere
2 Hyčko, Marek
2 Iorgulescu, Afrodita
2 Lapenta, Serafina
2 Leuştean, Laurenţiu
2 Nam, Tran Giang
2 Sanchez, Elie
1 Aguzzoli, Stefano
1 Bělohlávek, Radim
1 Boccuto, Antonio
1 Borzooei, Rajab Ali
1 Ciabattoni, Agata
1 Cignoli, Roberto
1 Csuhaj-Varjú, Erzsébet
1 Daňková, Martina
1 Esposito, I.
1 Fadini, Angelo
1 Guo, Sizhong
1 Higashi, Masahiko
1 Holcapek, Michal
1 Jakubík, Ján
1 Jenča, Gejza
1 Kreinovich, Vladik Yakovlevich
1 Liguori, Fortunata
1 Linawaty, Maria
1 Liparteliani, Ramaz
1 Loia, Vincenzo
1 Marchioni, Enrico
1 Martini, Giulia Barbara
1 Mitskevich, Nunu
1 Montagna, Franco
1 Mundici, Daniele
1 Nguyen, Hung Trung
1 Niederkorn, Philippe
1 Nobuhara, Hajime
1 Novák, Vilém
1 Panti, Giovanni
1 Păun, Gheorghe
1 Pedaci, Immacolata
1 Pérez-Jiménez, Mario J.
1 Perfilieva, Irina G.
1 Russo, Anna Carla
1 Scozzafava, Romano
1 Shenavaei, M.
1 Staiano, Antonino
1 Toffalori, Carlo
1 Tsinakis, Constantine
1 Ursini, Aldo
1 Vannucci, Stefano
1 Vaszil, Gyorgy
1 Zahiri, Omid
all top 5

Serials

19 Fuzzy Sets and Systems
11 Bulletin pour les Sous Ensembles Flous et Leurs Applications
7 Algebra Universalis
7 International Journal of Approximate Reasoning
7 Soft Computing
6 Journal of Mathematical Analysis and Applications
6 Mathematical Logic Quarterly (MLQ)
5 Information Sciences
5 Journal of Algebra
5 Mathematica Slovaca
5 Studia Logica
5 Annals of Pure and Applied Logic
5 Order
5 Archive for Mathematical Logic
4 Communications in Algebra
4 Kybernetes
4 Stochastica
3 Discrete Mathematics
3 International Journal of General Systems
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Journal of Logic and Computation
3 Multiple-Valued Logic
3 Azerbaijan Journal of Mathematics
2 The Journal of Symbolic Logic
2 Kybernetika
2 Ricerche di Matematica
2 La Ricerca. Matemàtiche Pure ed Applicate
2 International Journal of Intelligent Systems
2 Tatra Mountains Mathematical Publications
2 Journal of Applied Non-Classical Logics
2 Journal of Multiple-Valued Logic and Soft Computing
1 Colloquium Mathematicum
1 Czechoslovak Mathematical Journal
1 Economic Computation and Economic Cybernetics Studies and Research
1 Glasgow Mathematical Journal
1 Journal of Combinatorics, Information & System Sciences
1 Journal of Pure and Applied Algebra
1 Mathematica Japonica
1 Portugaliae Mathematica
1 RAIRO, Automatique, Systems Analysis and Control
1 Simon Stevin
1 Zeitschrift für Mathematische Logik und Grundlagen der Mathematik
1 Cybernetics and Systems
1 Forum Mathematicum
1 Linear Algebra and its Applications
1 Studia Universitatis Babeş-Bolyai. Mathematica
1 Bollettino della Unione Matemàtica Italiana. Serie VI. B
1 Applied Categorical Structures
1 The Journal of Fuzzy Mathematics
1 Annals of Mathematics and Artificial Intelligence
1 Logic Journal of the IGPL
1 Fundamenta Informaticae
1 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
1 Journal of the Australian Mathematical Society
1 Journal of Algebra and its Applications
1 Journal of Applied Logic
1 Fuzzy Optimization and Decision Making
1 Theory and Decision Library. Series D: System Theory, Knowledge Engineering and Problem Solving
1 Advances in Soft Computing
1 Journal of Logic and Analysis
1 Revue Française d’Automatique, Informatique, Recherche Opérationnelle (RAIRO). Informatique
1 Transactions of A. Razmadze Mathematical Institute
1 Categories and General Algebraic Structures with Applications

Publications by Year

Citations contained in zbMATH Open

152 Publications have been cited 1,537 times in 828 Documents Cited by Year
Fuzzy relation equations and their applications to knowledge engineering. Foreword by Lotfi A. Zadeh. Zbl 0694.94025
Di Nola, Antonio; Sessa, Salvatore; Pedrycz, Witold; Sanchez, Elie
175
1989
Pseudo-BL algebras. I. Zbl 1028.06007
Di Nola, Antonio; Georgescu, George; Iorgulescu, Afrodita
92
2002
Pseudo-BL algebras. II. Zbl 1028.06008
Di Nola, Antonio; Georgescu, George; Iorgulescu, Afrodita
57
2002
Perfect MV-algebras are categorically equivalent to Abelian \(l\)-groups. Zbl 0812.06010
Di Nola, Antonio; Lettieri, Ada
55
1994
State-morphism MV-algebras. Zbl 1186.06007
Di Nola, Antonio; Dvurečenskij, Anatolij
36
2009
Equational characterization of all varieties of MV-algebras. Zbl 0946.06009
Di Nola, Antonio; Lettieri, Ada
32
1999
Local MV-algebras. Zbl 0817.06011
Belluce, L. P.; Di Nola, A.; Lettieri, A.
29
1993
Algebraic analysis of fuzzy systems. Zbl 1110.93012
Di Nola, Antonio; Lettieri, Ada; Perfilieva, Irina; Novák, Vilém
28
2007
On the set of solutions of composite fuzzy relation equations. Zbl 0514.94027
Di Nola, Antonio; Sessa, Salvatore
27
1983
Compact representations of BL-algebras. Zbl 1040.03048
Di Nola, Antonio; Leuştean, Laurenţiu
26
2003
Product MV-algebras. Zbl 1016.06006
Di Nola, A.; Dvurecenskij, A.
26
2001
Fuzzy relation equation under a class of triangular norms: A survey and new results. Zbl 0581.04002
Di Nola, Antonio; Pedrycz, Witold; Sessa, Salvatore; Wang, Peizhuang
26
1984
On monadic MV-algebras. Zbl 1052.06010
Di Nola, Antonio; Grigolia, Revaz
25
2004
Relational equations in totally ordered lattices and their complete resolution. Zbl 0588.04006
Di Nola, Antonio
25
1985
Algebras of Lukasiewicz’s logic and their semiring reducts. Zbl 1081.06009
Di Nola, A.; Gerla, B.
24
2005
Fuzzy relation equations theory as a basis of fuzzy modelling: An overview. Zbl 0727.04005
Di Nola, A.; Pedrycz, W.; Sessa, S.; Sanchez, E.
23
1991
On varieties of MV-algebras with internal states. Zbl 1213.06006
Di Nola, A.; Dvurečenskij, A.; Lettieri, A.
22
2010
Łukasiewicz transform and its application to compression and reconstruction of digital images. Zbl 1114.06009
Di Nola, A.; Russo, C.
20
2007
Boolean products of BL-algebras. Zbl 0966.03055
Di Nola, Antonio; Georgescu, George; Leuştean, Laurenţiu
20
2000
Representation and reticulation by quotients of MV-algebras. Zbl 0767.06013
Di Nola, Antonio
20
1991
Further contributions to the study of finite fuzzy relation equations. Zbl 0645.04003
Guo, Sizhong; Wang, Peizhuang; Di Nola, A.; Sessa, S.
20
1988
Lattice valued algebras. Zbl 0681.08002
Di Nola, A.; Gerla, Giangiacomo
19
1987
How many lower solutions does a fuzzy relation equation have? Zbl 0581.04001
Wang, Peizhuang; Sessa, Salvatore; Di Nola, Antonio; Pedrycz, Witold
19
1984
One chain generated varieties of MV-algebras. Zbl 0949.06004
Di Nola, Antonio; Lettieri, Ada
17
2000
Perfect GMV-algebras. Zbl 1146.06007
Di Nola, A.; Dvurečenskij, A.; Tsinakis, C.
16
2008
Good and bad infinitesimals, and states on pseudo MV-algebras. Zbl 1081.06010
Di Nola, Antonio; Dvurečenskij, Anatolij; Jakubík, Ján
16
2004
When is a fuzzy relation decomposable in two fuzzy sets? Zbl 0576.08001
Di Nola, Antonio; Pedrycz, Witold; Sessa, Salvatore
16
1985
Finitely generated free MV-algebras and their automorphism groups. Zbl 0964.06010
Di Nola, Antonio; Grigolia, Revaz; Panti, Giovanni
15
1998
Łukasiewicz logic and MV-algebras. Zbl 1284.03178
Di Nola, Antonio; Leuştean, Ioana
14
2011
MV-modules. Zbl 1025.06009
Di Nola, Antonio; Flondor, Paul; Leuştean, Ioana
14
2003
On the fuzziness of solutions of sigma-fuzzy relation equations on finite spaces. Zbl 0523.04002
Di Nola, Antonio; Sessa, Salvatore
14
1983
Łukasiewicz logic and Riesz spaces. Zbl 1331.06004
Di Nola, Antonio; Leuştean, Ioana
13
2014
On some classes of state-morphism MV-algebras. Zbl 1212.06028
Di Nola, Antonio; Dvurečenskij, Anatolij
13
2009
Yosida type representation for perfect MV-algebras. Zbl 0864.06004
Belluce, Lawrence P.; Di Nola, Antonio
13
1996
On solving relational equations in Brouwerian lattices. Zbl 0701.04003
Di Nola, Antonio
13
1990
Coproduct MV-algebras, nonstandard reals, and Riesz spaces. Zbl 0864.06005
Di Nola, A.; Lettieri, A.
12
1996
The prime spectrum of an MV-algebra. Zbl 0815.06010
Belluce, L. P.; Di Nola, Antonio; Sessa, Salvatore
12
1994
Fuzzy relation equations with equality and difference composition operators. Zbl 0645.04004
Di Nola, Antonio; Pedrycz, Witold; Sessa, Salvatore
12
1988
Some theoretical aspects of fuzzy-relation equations describing fuzzy systems. Zbl 0557.93004
Di Nola, Antonio; Pedrycz, Witold; Sessa, Salvatore
12
1984
On some chains of fuzzy sets. Zbl 0444.94050
Di Nola, Antonio; Ventre, Aldo G. S.
12
1980
Perfect MV-algebras and their logic. Zbl 1123.06006
Belluce, Lawrence P.; Di Nola, Antonio; Gerla, Brunella
11
2007
Local algebras in the representation of MV-algebras. Zbl 1113.06005
Di Nola, A.; Esposito, I.; Gerla, B.
11
2007
Fuzzy relational neural network. Zbl 1093.68078
Ciaramella, A.; Tagliaferri, R.; Pedrycz, W.; Di Nola, A.
11
2006
MV-semirings and their sheaf representations. Zbl 1263.06004
Belluce, Lawrence Peter; Di Nola, Antonio; Ferraioli, Anna Rita
10
2013
Commutative rings whose ideals form an MV-algebra. Zbl 1180.06008
Belluce, Lawrence P.; Di Nola, Antonio
10
2009
Approximation by pseudo-linear operators. Zbl 1173.41010
Bede, Barnabás; Nobuhara, Hajime; Daňková, Martina; Di Nola, Antonio
10
2008
The \(\sigma\)-complete MV-algebras which have enough states. Zbl 1081.06011
Di Nola, Antonio; Navara, Mirko
10
2005
Decomposition problem of fuzzy relations. Zbl 0559.04004
Di Nola, Antonio; Sessa, Salvatore; Pedrycz, Witold
10
1985
Energy and entropy measures of fuzziness of solutions of fuzzy relation equations with continuous triangular norms. Zbl 0525.04003
Di Nola, Antonio; Pedrycz, Witold; Sessa, Salvatore
10
1983
Gödel spaces and perfect MV-algebras. Zbl 1380.06007
Di Nola, Antonio; Grigolia, Revaz
9
2015
Semiring and semimodule issues in MV-algebras. Zbl 1317.06012
Di Nola, Antonio; Russo, Ciro
9
2013
Riesz MV-algebras and their logic. Zbl 1254.06008
Di Nola, Antonio; Leustean, Ioana
9
2011
The semiring-theoretic approach to MV-algebras: a survey. Zbl 1368.06006
Di Nola, Antonio; Russo, Ciro
8
2015
Entropy on effect algebras with Riesz decomposition property. II: MV-algebras. Zbl 1249.03116
Di Nola, Antonio; Dvurečenskij, Anatolij; Hyčko, Marek; Manara, Corrado
8
2005
Projective MV-algebras and their automorphism groups. Zbl 1045.06004
Di Nola, Antonio; Grigolia, Revaz
8
2003
Finite BL-algebras. Zbl 1025.06008
Di Nola, Antonio; Lettieri, Ada
8
2003
Using maximal ideals in the classification of MV-algebras. Zbl 0799.06021
Di Nola, Antonio; Liguori, Fortunata; Sessa, Salvatore
8
1993
Relation equations in residuated lattices. Zbl 0691.06002
Di Nola, Antonio; Lettieri, Ada
8
1989
An aspect of discrepancy in the implementation of modus ponens in the presence of fuzzy quantities. Zbl 0676.68055
di Nola, Antonio; Pedrycz, Witold; Sessa, Salvatore
8
1989
Fuzzy models of first order languages. Zbl 0583.03043
Di Nola, Antonio; Gerla, Giangiacomo
8
1986
Entropy and energy measure characterization of resolution of some fuzzy relational equations. Zbl 0525.04002
Di Nola, Antonio; Pedrycz, Witold
8
1982
Erratum to “State-morphism MV-algebras”. Zbl 1221.06013
Di Nola, A.; Dvurečenskij, A.; Lettieri, A.
7
2010
Varieties of BL-algebras. Zbl 1092.03036
Di Nola, A.; Esteva, F.; Godo, L.; Montagna, F.
7
2005
The variety generated by perfect BL-algebras: an algebraic approach in a fuzzy logic setting. Zbl 1004.03023
Di Nola, Antonio; Sessa, Salvatore; Esteva, Francesc; Godo, Lluis; Garcia, Pere
7
2002
Conditional states in finite-valued logics. Zbl 0942.06004
Di Nola, Antonio; Georgescu, George; Lettieri, Ada
7
1999
Fuzzy relational structures: The state-of-art. Zbl 0852.04008
Di Nola, Antonio; Pedrycz, Witold; Sessa, Salvatore
7
1995
Convergence of powers of reciprocal fuzzy matrices. Zbl 0803.15014
Di Nola, Antonio; Kolodziejczyk, Waldemar; Sessa, Salvatore
7
1993
Triangular norms, MV-algebras and bold fuzzy set theory. Zbl 0743.03016
Belluce, L. P.; Di Nola, A.; Sessa, S.
6
1991
Finite fuzzy relation equations with a unique solution in linear lattices. Zbl 0661.04003
Di Nola, Antonio; Sessa, Salvatore
6
1988
On measures of fuzziness of solutions of fuzzy relation equations with generalized connectives. Zbl 0593.03011
Di Nola, Antonio; Pedrycz, Witold; Sessa, Salvatore
6
1985
On normal forms in Łukasiewicz logic. Zbl 1061.03026
Di Nola, A.; Lettieri, A.
5
2004
Pro-finite MV-spaces. Zbl 1051.06007
Di Nola, Antonio; Grigolia, Revaz
5
2004
The MV-algebra of first order Łukasiewicz logic. Zbl 1064.03015
Belluce, Lawrence P.; Di Nola, Antonio
5
2003
Subvarieties of BL-algebras generated by single-component chains. Zbl 1023.03060
Di Nola, Antonio; Esteva, Francesc; Garcia, Pere; Godo, Lluís; Sessa, Salvatore
5
2002
States on perfect MV-algebras. Zbl 1016.06007
Di Nola, Antonio; Georgescu, George; Leiştean, Ioana
5
2000
On MV-algebras of continuous functions. Zbl 0831.06006
Di Nola, A.; Sessa, S.
5
1995
Transitive solutions of relational equations on finite sets and linear lattices. Zbl 0786.15018
Di Nola, Antonio; Kolodziejczyk, Waldemar; Sessa, Salvatore
5
1991
Priestley duality and quotient lattices of many-valued algebras. Zbl 0787.06013
Cignoli, R.; Di Nola, A.; Lettieri, A.
5
1991
On some finite fuzzy relation equations. Zbl 0688.90002
Di Nola, Antonio; Sessa, Salvatore; Pedrycz, Witold
5
1990
Fuzzy relation equations under LSC and USC t-norms and their Boolean solutions. Zbl 0673.04003
Di Nola, Antonio; Pedrycz, Witold; Sessa, Salvatore
5
1987
Using fuzzy relation equations in the construction of inference mechanisms in expert systems. Zbl 0625.68070
Di Nola, A.; Pedrycz, W.; Sessa, S.
5
1987
Procesing of fuzzy numbers by fuzzy relation equations. Zbl 0625.04006
Di Nola, Antonio; Pedrycz, Witold; Sessa, Salvatore
5
1986
On measures of fuzziness of solutions of composite fuzzy relation equations. Zbl 0566.04003
Di Nola, A.; Sessa, S.
5
1984
Ordering fuzzy sets by consensus concept and fuzzy relation equations. Zbl 0553.04007
Higashi, Masahiko; Di Nola, Antonio; Sessa, Salvatore; Pedrycz, Witold
5
1984
Observables on perfect MV-algebras. Zbl 1423.06047
Di Nola, Antonio; Dvurečenskij, Anatolij; Lenzi, Giacomo
4
2019
Representation of MV-algebras by regular ultrapowers of \([0,1]\). Zbl 1196.06005
Di Nola, Antonio; Lenzi, Giacomo; Spada, Luca
4
2010
Abelian \(\ell\)-groups with strong unit and perfect MV-algebras. Zbl 1168.06006
Belluce, Lawrence P.; Di Nola, Antonio; Gerla, Brunella
4
2008
Entropy on effect algebras with the Riesz decomposition property. I: Basic properties. Zbl 1249.03115
Di Nola, Antonio; Dvurečenskij, Anatolij; Hyčko, Marek; Manara, Corrado
4
2005
Natural dualities for varieties of BL-algebras. Zbl 1087.06005
Di Nola, Antonio; Niederkorn, Philippe
4
2005
MV-algebras in duality with labelled root systems. Zbl 0992.06010
Di Nola, Antonio; Grigolia, Revaz
4
2002
A study on approximate reasoning mechanisms via fuzzy relation equations. Zbl 0751.68072
Di Nola, Antonio; Sessa, Salvatore; Pedrycz, Witold
4
1992
On fuzzy integral inequalities and fuzzy expectation. Zbl 0654.28014
Di Nola, Antonio; Ventre, Aldo G. S.
4
1987
Ideals of MV-semirings and MV-algebras. Zbl 1328.06010
Belluce, L. P.; Di Nola, A.; Ferraioli, A. R.
3
2014
On the Loomis-Sikorski theorem for MV-algebras with internal state. Zbl 1235.06013
Di Nola, A.; Dvurečenskij, A.; Lettieri, A.
3
2010
Subalgebras, direct products and associated lattices of MV-algebras. Zbl 0765.06012
Belluce, L. P.; Di Nola, A.; Lettieri, A.
3
1992
On some lattice quotients of \(MV\)-algebras. Zbl 0739.03038
Belluce, L. P.; Di Nola, A.; Lettieri, A.
3
1990
On the fuzziness measure and negation in totally ordered lattices. Zbl 0609.94019
Di Nola, A.; Sessa, S.
3
1986
An algorithm of calculation of lower solutions of fuzzy relational equations. Zbl 0593.04005
Di Nola, Antonio
3
1984
Ordering via fuzzy entropy. Zbl 0513.94034
Di Nola, Antonio; Ventre, Aldo G. S.
3
1982
On some sequences of fuzzy sets. Zbl 0405.94029
di Nola, A.; Ventre, A. G. S.
3
1979
Observables on perfect MV-algebras. Zbl 1423.06047
Di Nola, Antonio; Dvurečenskij, Anatolij; Lenzi, Giacomo
4
2019
An analysis of the logic of Riesz spaces with strong unit. Zbl 1427.06008
Di Nola, Antonio; Lapenta, Serafina; Leuştean, Ioana
2
2018
Infinitary logic and basically disconnected compact Hausdorff spaces. Zbl 1444.03088
Di Nola, Antonio; Lapenta, Serafina; Leuştean, Ioana
1
2018
Duality theory and skeleta for semisimple MV-algebras. Zbl 1431.06004
Di Nola, Antonio; Lenzi, Giacomo
1
2018
Algebraic geometry for \(\ell \)-groups. Zbl 06968523
Di Nola, Antonio; Lenzi, Giacomo; Vitale, Gaetano
1
2018
Corrigendum to: “Semiring and semimodule issues in MV-algebras”. Zbl 1392.06009
Di Nola, Antonio; Russo, Ciro
1
2018
On MV-algebras of non-linear functions. Zbl 1423.06046
Di Nola, A.; Lenzi, G.; Vitale, G.
2
2017
Riesz-McNaughton functions and Riesz MV-algebras of nonlinear functions. Zbl 1393.06008
Di Nola, Antonio; Lenzi, Giacomo; Vitale, Gaetano
2
2017
Affine representations of \(\ell\)-groups and MV-algebras. Zbl 1420.06012
Boccuto, Antonio; Di Nola, Antonio; Vitale, Gaetano
1
2017
Relative subalgebras of MV-algebras. Zbl 1420.06018
Belluce, Lawrence Peter; Di Nola, Antonio; Lenzi, Giacomo
1
2017
Combining Boolean algebras and \(\ell \)-groups in the variety generated by Chang’s MV-algebra. Zbl 1374.06020
Di Nola, A.; Ferraioli, A. R.; Gerla, B.
2
2016
On free MV algebras and a problem of Tarski. Zbl 1360.06004
Di Nola, Antonio; Lenzi, Giacomo; Vitale, Gaetano
1
2016
Gödel spaces and perfect MV-algebras. Zbl 1380.06007
Di Nola, Antonio; Grigolia, Revaz
9
2015
The semiring-theoretic approach to MV-algebras: a survey. Zbl 1368.06006
Di Nola, Antonio; Russo, Ciro
8
2015
Multimodal epistemic Łukasiewicz logics with application in immune system. Zbl 1382.03046
Di Nola, Antonio; Grigolia, Revaz; Mitskevich, Nunu
1
2015
Łukasiewicz logic and Riesz spaces. Zbl 1331.06004
Di Nola, Antonio; Leuştean, Ioana
13
2014
Ideals of MV-semirings and MV-algebras. Zbl 1328.06010
Belluce, L. P.; Di Nola, A.; Ferraioli, A. R.
3
2014
Algebraic geometry for MV-algebras. Zbl 1353.06007
Belluce, Lawrence P.; Di Nola, Antonio; Lenzi, Giacomo
1
2014
MV-semirings and their sheaf representations. Zbl 1263.06004
Belluce, Lawrence Peter; Di Nola, Antonio; Ferraioli, Anna Rita
10
2013
Semiring and semimodule issues in MV-algebras. Zbl 1317.06012
Di Nola, Antonio; Russo, Ciro
9
2013
Hyperfinite MV-algebras. Zbl 1276.06006
Belluce, L. P.; Di Nola, A.; Lenzi, G.
2
2013
Algebraically closed MV-algebras and their sheaf representation. Zbl 1286.06016
Di Nola, A.; Ferraioli, A. R.; Lenzi, G.
2
2013
Adding real coefficients to Łukasiewicz logic: an application to neural networks. Zbl 1423.03077
Di Nola, Antonio; Gerla, Brunella; Leustean, Ioana
1
2013
Stone duality type theorems for MV-algebras with internal state. Zbl 1259.06015
Di Nola, A.; Dvurečenskij, A.; Lettieri, A.
2
2012
Łukasiewicz logic and MV-algebras. Zbl 1284.03178
Di Nola, Antonio; Leuştean, Ioana
14
2011
Riesz MV-algebras and their logic. Zbl 1254.06008
Di Nola, Antonio; Leustean, Ioana
9
2011
On varieties of MV-algebras with internal states. Zbl 1213.06006
Di Nola, A.; Dvurečenskij, A.; Lettieri, A.
22
2010
Erratum to “State-morphism MV-algebras”. Zbl 1221.06013
Di Nola, A.; Dvurečenskij, A.; Lettieri, A.
7
2010
Representation of MV-algebras by regular ultrapowers of \([0,1]\). Zbl 1196.06005
Di Nola, Antonio; Lenzi, Giacomo; Spada, Luca
4
2010
On the Loomis-Sikorski theorem for MV-algebras with internal state. Zbl 1235.06013
Di Nola, A.; Dvurečenskij, A.; Lettieri, A.
3
2010
Relative MV-algebras and relative homomorphisms. Zbl 1225.06008
Di Nola, Antonio; Lettieri, Ada
1
2010
State-morphism MV-algebras. Zbl 1186.06007
Di Nola, Antonio; Dvurečenskij, Anatolij
36
2009
On some classes of state-morphism MV-algebras. Zbl 1212.06028
Di Nola, Antonio; Dvurečenskij, Anatolij
13
2009
Commutative rings whose ideals form an MV-algebra. Zbl 1180.06008
Belluce, Lawrence P.; Di Nola, Antonio
10
2009
The category of MV-pairs. Zbl 1173.06003
Di Nola, Antonio; Holcapek, Michal; Jenca, Gejza
1
2009
Perfect GMV-algebras. Zbl 1146.06007
Di Nola, A.; Dvurečenskij, A.; Tsinakis, C.
16
2008
Approximation by pseudo-linear operators. Zbl 1173.41010
Bede, Barnabás; Nobuhara, Hajime; Daňková, Martina; Di Nola, Antonio
10
2008
Abelian \(\ell\)-groups with strong unit and perfect MV-algebras. Zbl 1168.06006
Belluce, Lawrence P.; Di Nola, Antonio; Gerla, Brunella
4
2008
Projective MV-algebras. Zbl 1185.06006
Di Nola, Antonio; Grigolia, Revaz; Lettieri, Ada
2
2008
Forcing in Łukasiewicz predicate logic. Zbl 1170.03013
Di Nola, Antonio; Georgescu, George; Spada, Luca
2
2008
Editing configurations of P systems. Zbl 1136.68025
Csuhaj-Varjú, Erzsébet; Di Nola, Antonio; Păun, Gheorghe; Pérez-Jiménez, Mario J.; Vaszil, György
1
2008
Algebraic analysis of fuzzy systems. Zbl 1110.93012
Di Nola, Antonio; Lettieri, Ada; Perfilieva, Irina; Novák, Vilém
28
2007
Łukasiewicz transform and its application to compression and reconstruction of digital images. Zbl 1114.06009
Di Nola, A.; Russo, C.
20
2007
Perfect MV-algebras and their logic. Zbl 1123.06006
Belluce, Lawrence P.; Di Nola, Antonio; Gerla, Brunella
11
2007
Local algebras in the representation of MV-algebras. Zbl 1113.06005
Di Nola, A.; Esposito, I.; Gerla, B.
11
2007
Simplicial structures in MV-algebras and logic. Zbl 1119.03067
Belluce, L. P.; Di Nola, A.
2
2007
Fuzzy relational neural network. Zbl 1093.68078
Ciaramella, A.; Tagliaferri, R.; Pedrycz, W.; Di Nola, A.
11
2006
Fuzzy relational neural network for data analysis. Zbl 1128.68413
Ciaramella, Angelo; Tagliaferri, Roberto; Pedrycz, Witold; Di Nola, Antonio
2
2006
Algebras of Lukasiewicz’s logic and their semiring reducts. Zbl 1081.06009
Di Nola, A.; Gerla, B.
24
2005
The \(\sigma\)-complete MV-algebras which have enough states. Zbl 1081.06011
Di Nola, Antonio; Navara, Mirko
10
2005
Entropy on effect algebras with Riesz decomposition property. II: MV-algebras. Zbl 1249.03116
Di Nola, Antonio; Dvurečenskij, Anatolij; Hyčko, Marek; Manara, Corrado
8
2005
Varieties of BL-algebras. Zbl 1092.03036
Di Nola, A.; Esteva, F.; Godo, L.; Montagna, F.
7
2005
Entropy on effect algebras with the Riesz decomposition property. I: Basic properties. Zbl 1249.03115
Di Nola, Antonio; Dvurečenskij, Anatolij; Hyčko, Marek; Manara, Corrado
4
2005
Natural dualities for varieties of BL-algebras. Zbl 1087.06005
Di Nola, Antonio; Niederkorn, Philippe
4
2005
Neural networks and rational McNaughton functions. Zbl 1104.68093
Amato, Paolo; Di Nola, Antonio; Gerla, Brunella
2
2005
On monadic MV-algebras. Zbl 1052.06010
Di Nola, Antonio; Grigolia, Revaz
25
2004
Good and bad infinitesimals, and states on pseudo MV-algebras. Zbl 1081.06010
Di Nola, Antonio; Dvurečenskij, Anatolij; Jakubík, Ján
16
2004
On normal forms in Łukasiewicz logic. Zbl 1061.03026
Di Nola, A.; Lettieri, A.
5
2004
Pro-finite MV-spaces. Zbl 1051.06007
Di Nola, Antonio; Grigolia, Revaz
5
2004
Partial algebraic conditional spaces. Zbl 1059.03010
Di Nola, Antonio; Scozzafava, Romano
2
2004
Fuzzy neural networks based on fuzzy logic algebras valued relations. Zbl 1088.68157
Tagliaferri, Roberto; Ciaramella, Angelo; Di Nola, Antonio; Bělohlávek, Radim
2
2004
Compact representations of BL-algebras. Zbl 1040.03048
Di Nola, Antonio; Leuştean, Laurenţiu
26
2003
MV-modules. Zbl 1025.06009
Di Nola, Antonio; Flondor, Paul; Leuştean, Ioana
14
2003
Projective MV-algebras and their automorphism groups. Zbl 1045.06004
Di Nola, Antonio; Grigolia, Revaz
8
2003
Finite BL-algebras. Zbl 1025.06008
Di Nola, Antonio; Lettieri, Ada
8
2003
The MV-algebra of first order Łukasiewicz logic. Zbl 1064.03015
Belluce, Lawrence P.; Di Nola, Antonio
5
2003
Which truth values in fuzzy logics are definable? Zbl 1036.03020
Nguyen, Hung T.; Kreinovich, Vladik; Di Nola, Antonio
2
2003
Pseudo-BL algebras. I. Zbl 1028.06007
Di Nola, Antonio; Georgescu, George; Iorgulescu, Afrodita
92
2002
Pseudo-BL algebras. II. Zbl 1028.06008
Di Nola, Antonio; Georgescu, George; Iorgulescu, Afrodita
57
2002
The variety generated by perfect BL-algebras: an algebraic approach in a fuzzy logic setting. Zbl 1004.03023
Di Nola, Antonio; Sessa, Salvatore; Esteva, Francesc; Godo, Lluis; Garcia, Pere
7
2002
Subvarieties of BL-algebras generated by single-component chains. Zbl 1023.03060
Di Nola, Antonio; Esteva, Francesc; Garcia, Pere; Godo, Lluís; Sessa, Salvatore
5
2002
MV-algebras in duality with labelled root systems. Zbl 0992.06010
Di Nola, Antonio; Grigolia, Revaz
4
2002
Grothendieck-like duality for Heyting algebras. Zbl 1061.06021
Di Nola, Antonio; Georgescu, George
1
2002
An evolutionary approach to spatial fuzzy c-means clustering. Zbl 1092.68641
Di Nola, Antonio; Loia, Vincenzo; Staiano, Antonino
1
2002
Product MV-algebras. Zbl 1016.06006
Di Nola, A.; Dvurecenskij, A.
26
2001
A discrete free MV-algebra over one generator. Zbl 1032.06006
Di Nola, Antonio; Gerla, Brunella
1
2001
Finiteness and duality in MV-algebras theory. Zbl 0992.06009
Di Nola, Antonio; Grigolia, Revaz
1
2001
Lectures on soft computing and fuzzy logic. Zbl 0970.00009
Di Nola, Antonio (ed.); Gerla, Giangiacomo (ed.)
1
2001
Boolean products of BL-algebras. Zbl 0966.03055
Di Nola, Antonio; Georgescu, George; Leuştean, Laurenţiu
20
2000
One chain generated varieties of MV-algebras. Zbl 0949.06004
Di Nola, Antonio; Lettieri, Ada
17
2000
States on perfect MV-algebras. Zbl 1016.06007
Di Nola, Antonio; Georgescu, George; Leiştean, Ioana
5
2000
Sequent calculi for finite-valued Łukasiewicz logics via Boolean decompositions. Zbl 0955.03031
Aguzzoli, Stefano; Ciabattoni, Agata; Di Nola, Antonio
1
2000
Equational characterization of all varieties of MV-algebras. Zbl 0946.06009
Di Nola, Antonio; Lettieri, Ada
32
1999
Conditional states in finite-valued logics. Zbl 0942.06004
Di Nola, Antonio; Georgescu, George; Lettieri, Ada
7
1999
Perfect MV-algebras and \(\ell\)-rings. Zbl 1031.06009
Belluce, Lawrence P.; Di Nola, Antonio; Georgescu, George
2
1999
Closed ideals of MV-algebras. Zbl 0937.06010
Di Nola, Antonio; Georgescu, George; Sessa, Salvatore
2
1999
Finitely generated free MV-algebras and their automorphism groups. Zbl 0964.06010
Di Nola, Antonio; Grigolia, Revaz; Panti, Giovanni
15
1998
Yosida type representation for perfect MV-algebras. Zbl 0864.06004
Belluce, Lawrence P.; Di Nola, Antonio
13
1996
Coproduct MV-algebras, nonstandard reals, and Riesz spaces. Zbl 0864.06005
Di Nola, A.; Lettieri, A.
12
1996
Projective limits of \(MV\)-spaces. Zbl 0876.06003
Di Nola, Antonio; Georgescu, George
1
1996
Fuzzy relational structures: The state-of-art. Zbl 0852.04008
Di Nola, Antonio; Pedrycz, Witold; Sessa, Salvatore
7
1995
On MV-algebras of continuous functions. Zbl 0831.06006
Di Nola, A.; Sessa, S.
5
1995
Special issue on fuzzy relations, Part 2. Zbl 0851.00014
Di Nola, A. (ed.); Pedrycz, W. (ed.); Sessa, S. (ed.)
2
1995
Perfect MV-algebras are categorically equivalent to Abelian \(l\)-groups. Zbl 0812.06010
Di Nola, Antonio; Lettieri, Ada
55
1994
The prime spectrum of an MV-algebra. Zbl 0815.06010
Belluce, L. P.; Di Nola, Antonio; Sessa, Salvatore
12
1994
Local MV-algebras. Zbl 0817.06011
Belluce, L. P.; Di Nola, A.; Lettieri, A.
29
1993
Using maximal ideals in the classification of MV-algebras. Zbl 0799.06021
Di Nola, Antonio; Liguori, Fortunata; Sessa, Salvatore
8
1993
Convergence of powers of reciprocal fuzzy matrices. Zbl 0803.15014
Di Nola, Antonio; Kolodziejczyk, Waldemar; Sessa, Salvatore
7
1993
On reduction of transitive fuzzy matrices and its applications. Zbl 0792.15011
Di Nola, Antonio; Kolodziejczyk, Waldemar; Sessa, Salvatore
1
1993
A study on approximate reasoning mechanisms via fuzzy relation equations. Zbl 0751.68072
Di Nola, Antonio; Sessa, Salvatore; Pedrycz, Witold
4
1992
...and 52 more Documents
all top 5

Cited by 657 Authors

93 Di Nola, Antonio
63 Dvurečenskij, Anatolij
32 Sessa, Salvatore
31 Pedrycz, Witold
26 Wang, Xueping
19 Rachůnek, Jiří
18 Lettieri, Ada
16 Georgescu, George
15 Montagna, Franco
14 Belluce, Lawrence Peter
14 Lenzi, Giacomo
13 Ciungu, Lavinia Corina
13 Leuştean, Ioana
12 Grigolia, Revaz
12 Wu, Yan-Kuen
11 Chajda, Ivan
11 Fang, Shu-Cherng
11 Šalounová, Dana
10 Borumand Saeid, Arsham
10 Botur, Michal
10 Flaminio, Tommaso
10 Khorram, Esmaile
9 Shu, Qianyu
9 Zahiri, Omid
8 Abbasi Molai, Ali
8 Bede, Barnabás
8 Borzooei, Rajab Ali
8 Medina, Jesús
8 Paseka, Jan
8 Perfilieva, Irina G.
8 Šešelja, Branimir
8 Tepavčević, Andreja
8 Xin, Xiaolong
8 Yang, Xiaopeng
8 Zhan, Jianming
7 Gavalec, Martin
7 Kühr, Jan
7 Pulmannová, Sylvia
7 Russo, Ciro
6 Agliano, Paolo
6 Cao, Bingyuan
6 De Baets, Bernard
6 Di Martino, Ferdinando
6 Esteva, Francesc
6 Gerla, Brunella
6 Ghodousian, Amin
6 Kołodziejczyk, Waldemar
6 Kowalski, Tomasz Marek
6 Lapenta, Serafina
6 Li, Pingke
6 Lur, Yung-Yih
6 Mundici, Daniele
6 Nganou, Jean Bernard
6 Noguera, Carles
6 Plavka, Ján
6 Rasouli, Saeed
6 Spada, Luca
6 Turunen, Esko
6 Xiong, Qingquan
5 Bělohlávek, Radim
5 Bianchi, Matteo
5 Cechlárová, Katarína
5 Cignoli, Roberto
5 Cintula, Petr
5 Ćirić, Miroslav D.
5 Forouzesh, Fereshteh
5 Freytes, Hector
5 Godo, Lluís
5 He, Pengfei
5 Hirota, Kaoru
5 Ignjatović, Jelena
5 Lachman, Dominik
5 Länger, Helmut M.
5 Leuştean, Laurenţiu
5 Miyakoshi, Masaaki
5 Mureşan, Claudia
5 Qu, Xiaobing
5 Shieh, Bih-Sheue
5 Solovyov, Sergey A.
5 Štěpnička, Martin
5 Ventre, Aldo Giuseppe Saverio
5 Vitale, Gaetano
5 Xu, Yang
5 Zhou, Xuegang
4 Bartl, Eduard
4 Busaniche, Manuela
4 Castiglioni, José Luis
4 Chen, Wenjuan
4 Cimadamore, Cecilia Rossana
4 Coroianu, Lucian C.
4 Díaz Varela, José Patricio
4 Dubois, Didier
4 Dudek, Wiesław Aleksander
4 Eslami, Esfandiar
4 Flondor, Paul
4 Gal, Sorin Gheorghe
4 Gerla, Giangiacomo
4 Gispert, Joan
4 Guu, Sy-Ming
4 Guu, Syming
...and 557 more Authors
all top 5

Cited in 101 Serials

221 Fuzzy Sets and Systems
106 Soft Computing
67 Information Sciences
25 Mathematica Slovaca
23 Algebra Universalis
21 Studia Logica
21 International Journal of Approximate Reasoning
18 Linear Algebra and its Applications
16 Archive for Mathematical Logic
12 Journal of Mathematical Analysis and Applications
12 Journal of Algebra
12 Annals of Pure and Applied Logic
11 International Journal of General Systems
11 International Journal of Theoretical Physics
10 Computers & Mathematics with Applications
10 Kybernetika
10 Afrika Matematika
9 Journal of Pure and Applied Algebra
9 Order
9 Mathematical Logic Quarterly (MLQ)
9 Fuzzy Optimization and Decision Making
7 Kybernetes
7 Journal of Applied Non-Classical Logics
6 Communications in Algebra
6 Journal of Intelligent and Fuzzy Systems
5 Reports on Mathematical Physics
5 Applied Mathematics and Computation
5 Czechoslovak Mathematical Journal
5 Journal of the Australian Mathematical Society
5 Journal of Applied Logic
4 Discrete Mathematics
4 Mathematical and Computer Modelling
4 Applied Categorical Structures
3 Linear and Multilinear Algebra
3 Journal of Computational and Applied Mathematics
3 The Journal of Symbolic Logic
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 European Journal of Operational Research
3 Central European Journal of Mathematics
3 Foundations of Physics
3 Iranian Journal of Fuzzy Systems
2 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
2 Demonstratio Mathematica
2 International Journal of Mathematics and Mathematical Sciences
2 Theoretical Computer Science
2 International Journal of Intelligent Systems
2 Forum Mathematicum
2 Complexity
2 Abstract and Applied Analysis
2 International Journal of Applied Mathematics and Computer Science
2 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
2 Journal of Systems Science and Complexity
2 Journal of Multiple-Valued Logic and Soft Computing
2 Journal of Algebra and its Applications
2 New Mathematics and Natural Computation
2 Asian-European Journal of Mathematics
2 Open Mathematics
2 Transactions of A. Razmadze Mathematical Institute
1 Artificial Intelligence
1 Discrete Applied Mathematics
1 Commentationes Mathematicae Universitatis Carolinae
1 Journal of Soviet Mathematics
1 Le Matematiche
1 Mathematics and Computers in Simulation
1 Numerical Functional Analysis and Optimization
1 Opsearch
1 Results in Mathematics
1 Ricerche di Matematica
1 Semigroup Forum
1 Transactions of the American Mathematical Society
1 Bulletin of the Section of Logic
1 Advances in Applied Mathematics
1 Cybernetics and Systems
1 Journal of Classification
1 Revista Matemática Iberoamericana
1 Asia-Pacific Journal of Operational Research
1 Applied Mathematics Letters
1 Computational Statistics and Data Analysis
1 Cybernetics and Systems Analysis
1 Journal of Computer and Systems Sciences International
1 Applied Mathematics. Series B (English Edition)
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 Computational and Applied Mathematics
1 The Bulletin of Symbolic Logic
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Mathematical Communications
1 Discrete Dynamics in Nature and Society
1 Communications of the Korean Mathematical Society
1 Logic and Logical Philosophy
1 Iranian Journal of Science and Technology. Transaction A: Science
1 Algebra and Discrete Mathematics
1 Advances in Difference Equations
1 Logical Methods in Computer Science
1 Journal of Logic and Analysis
1 Advances in Fuzzy Systems
1 Symmetry
1 Eurasian Mathematical Journal
1 Fuzzy Information and Engineering
1 Journal of Nonlinear Analysis and Optimization: Theory & Applications
1 Axioms
...and 1 more Serials
all top 5

Cited in 44 Fields

480 Mathematical logic and foundations (03-XX)
408 Order, lattices, ordered algebraic structures (06-XX)
91 Computer science (68-XX)
62 Linear and multilinear algebra; matrix theory (15-XX)
53 Operations research, mathematical programming (90-XX)
47 General algebraic systems (08-XX)
40 Information and communication theory, circuits (94-XX)
35 Associative rings and algebras (16-XX)
29 Measure and integration (28-XX)
28 Systems theory; control (93-XX)
24 Numerical analysis (65-XX)
24 Quantum theory (81-XX)
23 General topology (54-XX)
21 Category theory; homological algebra (18-XX)
12 Approximations and expansions (41-XX)
11 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
10 Group theory and generalizations (20-XX)
10 Real functions (26-XX)
10 Probability theory and stochastic processes (60-XX)
9 Statistics (62-XX)
7 Commutative algebra (13-XX)
7 Functional analysis (46-XX)
7 Convex and discrete geometry (52-XX)
6 Dynamical systems and ergodic theory (37-XX)
5 Combinatorics (05-XX)
4 History and biography (01-XX)
3 Algebraic geometry (14-XX)
3 Biology and other natural sciences (92-XX)
2 Number theory (11-XX)
2 Field theory and polynomials (12-XX)
2 Operator theory (47-XX)
2 Algebraic topology (55-XX)
1 General and overarching topics; collections (00-XX)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-XX)
1 Ordinary differential equations (34-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Manifolds and cell complexes (57-XX)
1 Mechanics of particles and systems (70-XX)
1 Mathematics education (97-XX)

Citations by Year