Trillas, Enric; Termini, Settimo; Tabacchi, Marco Elio Reasoning and language at work. A critical essay. (English) Zbl 1495.68008 Studies in Computational Intelligence 991. Cham: Springer (ISBN 978-3-030-86087-5/hbk; 978-3-030-86090-5/pbk; 978-3-030-86088-2/ebook). xxiii, 108 p. (2022). Reviewer: Esko Turunen (Tampere) MSC: 68-02 03B52 68T27 68T37 PDFBibTeX XMLCite \textit{E. Trillas} et al., Reasoning and language at work. A critical essay. Cham: Springer (2022; Zbl 1495.68008) Full Text: DOI
de Soto, Adolfo R.; Sobrino, Alejandro; Trillas, Enric; Alsina, Claudi Reflections on an old problem: that of preserving the logical forms and symmetry. (English) Zbl 1464.03025 Fuzzy Sets Syst. 401, 150-162 (2020). MSC: 03B52 PDFBibTeX XMLCite \textit{A. R. de Soto} et al., Fuzzy Sets Syst. 401, 150--162 (2020; Zbl 1464.03025) Full Text: DOI
Alsina, Claudi; Trillas, Enric Short note: some hints on fuzzy logic’s negation functions. (English) Zbl 1504.03015 New Math. Nat. Comput. 15, No. 2, 327-331 (2019). MSC: 03B52 PDFBibTeX XMLCite \textit{C. Alsina} and \textit{E. Trillas}, New Math. Nat. Comput. 15, No. 2, 327--331 (2019; Zbl 1504.03015) Full Text: DOI
Trillas, Enric How I saw, and how I see fuzzy sets. (English) Zbl 1429.03182 Saminger-Platz, Susanne (ed.) et al., On logical, algebraic, and probabilistic aspects of fuzzy set theory. Cham: Springer. Stud. Fuzziness Soft Comput. 336, 13-22 (2018). MSC: 03E72 03A05 PDFBibTeX XMLCite \textit{E. Trillas}, Stud. Fuzziness Soft Comput. 336, 13--22 (2018; Zbl 1429.03182) Full Text: DOI
Trillas, Enric On the logos: a naïve view on ordinary reasoning and fuzzy logic. (English) Zbl 1371.03003 Studies in Fuzziness and Soft Computing 354. Cham: Springer (ISBN 978-3-319-56052-6/hbk; 978-3-319-56053-3/ebook). xiv, 213 p. (2017). MSC: 03-02 03B65 03B52 03A05 PDFBibTeX XMLCite \textit{E. Trillas}, On the logos: a naïve view on ordinary reasoning and fuzzy logic. Cham: Springer (2017; Zbl 1371.03003) Full Text: DOI
Trillas, Enric; Termini, Settimo; Moraga, Claudio A naïve way of looking at fuzzy sets. (English) Zbl 1380.03058 Fuzzy Sets Syst. 292, 380-395 (2016). MSC: 03E72 PDFBibTeX XMLCite \textit{E. Trillas} et al., Fuzzy Sets Syst. 292, 380--395 (2016; Zbl 1380.03058) Full Text: DOI
García-Honrado, Itziar; Trillas, Enric Remarks on the symmetric difference from an inferential point of view. (English) Zbl 1394.03040 J. Mult.-Val. Log. Soft Comput. 24, No. 1-4, 35-51 (2015). MSC: 03B50 03G25 06D30 03G05 03B52 PDFBibTeX XMLCite \textit{I. García-Honrado} and \textit{E. Trillas}, J. Mult.-Val. Log. Soft Comput. 24, No. 1--4, 35--51 (2015; Zbl 1394.03040) Full Text: Link
Trillas, Enric Glimpsing at guessing. (English) Zbl 1368.03035 Fuzzy Sets Syst. 281, 32-43 (2015). MSC: 03B52 PDFBibTeX XMLCite \textit{E. Trillas}, Fuzzy Sets Syst. 281, 32--43 (2015; Zbl 1368.03035) Full Text: DOI
Trillas, Enric Fuzzy sets: towards the scientific domestication of imprecision. (English) Zbl 1359.03040 Tamir, Dan E. (ed.) et al., Fifty years of fuzzy logic and its applications. Cham: Springer (ISBN 978-3-319-19682-4/hbk; 978-3-319-19683-1/ebook). Studies in Fuzziness and Soft Computing 326, 609-642 (2015). MSC: 03E72 03E75 PDFBibTeX XMLCite \textit{E. Trillas}, Stud. Fuzziness Soft Comput. 326, 609--642 (2015; Zbl 1359.03040) Full Text: DOI
Trillas, E.; García-Honrado, I.; Termini, S. Some algebraic clues towards a syntactic view on the principles of non-contradiction and excluded-middle. (English) Zbl 1286.03099 Int. J. Gen. Syst. 43, No. 2, 162-171 (2014). MSC: 03B52 03E72 PDFBibTeX XMLCite \textit{E. Trillas} et al., Int. J. Gen. Syst. 43, No. 2, 162--171 (2014; Zbl 1286.03099) Full Text: DOI
García-Honrado, Itziar; Trillas, Enric; Alsina, Claudi Short note: On a conditional-conjunctive law with fuzzy sets. (English) Zbl 1343.68239 Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 21, No. 1, 1-8 (2013). MSC: 68T37 03B52 03E72 PDFBibTeX XMLCite \textit{I. García-Honrado} et al., Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 21, No. 1, 1--8 (2013; Zbl 1343.68239) Full Text: DOI
García-Honrado, I.; Trillas, E. A note on a deductive scheme of Dummett in classical and fuzzy logics. (English) Zbl 1304.03068 Fuzzy Sets Syst. 214, 75-82 (2013). Reviewer: Siegfried J. Gottwald (Leipzig) MSC: 03B52 68T37 PDFBibTeX XMLCite \textit{I. García-Honrado} and \textit{E. Trillas}, Fuzzy Sets Syst. 214, 75--82 (2013; Zbl 1304.03068) Full Text: DOI
Seising, Rudolf (ed.); Trillas, Enric (ed.); Moraga, Claudio (ed.); Termini, Settimo (ed.) On fuzziness. A homage to Lotfi A. Zadeh. Volume 2. (English) Zbl 1271.03016 Studies in Fuzziness and Soft Computing 299. Berlin: Springer (ISBN 978-3-642-35643-8/hbk; 978-3-642-36116-6/set; 978-3-642-35644-5/ebook). xxxviii, 434-859. (2013). MSC: 03-06 68-06 01A70 01A60 00B30 03B52 03E72 94D05 PDFBibTeX XMLCite \textit{R. Seising} (ed.) et al., On fuzziness. A homage to Lotfi A. Zadeh. Volume 2. Berlin: Springer (2013; Zbl 1271.03016) Full Text: DOI
Seising, Rudolf (ed.); Trillas, Enric (ed.); Moraga, Claudio (ed.); Termini, Settimo (ed.) On fuzziness. A homage to Lotfi A. Zadeh. Volume 1. (English) Zbl 1271.03015 Studies in Fuzziness and Soft Computing 298. Berlin: Springer (ISBN 978-3-642-35640-7/hbk; 978-3-642-36116-6/set; 978-3-642-35641-4/ebook). xxxvi, 1-431. (2013). Reviewer: Siegfried J. Gottwald (Leipzig) MSC: 03-06 68-06 01A70 01A60 00B30 03B52 03E72 94D05 PDFBibTeX XMLCite \textit{R. Seising} (ed.) et al., On fuzziness. A homage to Lotfi A. Zadeh. Volume 1. Berlin: Springer (2013; Zbl 1271.03015) Full Text: DOI
Sánchez, Daniel; Trillas, Enric Measures of fuzziness under different uses of fuzzy sets. (English) Zbl 1252.94136 Greco, Salvatore (ed.) et al., Advances in computational intelligence. 14th international conference on information processing and management of uncertainty in knowledge-based systems, IPMU 2012, Catania, Italy, July 9–13, 2012. Proceedings, Part II. Berlin: Springer (ISBN 978-3-642-31714-9/pbk; 978-3-642-31715-6/ebook). Communications in Computer and Information Science 298, 25-34 (2012). MSC: 94D05 03E72 PDFBibTeX XMLCite \textit{D. Sánchez} and \textit{E. Trillas}, Commun. Comput. Inf. Sci. 298, 25--34 (2012; Zbl 1252.94136) Full Text: DOI
García-Honrado, Itziar; Trillas, Enric Unended reflections on family resemblance and predicates linguistic migration. (English) Zbl 1254.03097 Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-2011) and 17th annual LFA meeting, Aix-Les-Bains, France, July 18–22, 2011. Amsterdam: Atlantis Press (ISBN 9978-90-78677-00-0). Paper No. 88, 598-604 (2011). MSC: 03E72 68T37 PDFBibTeX XMLCite \textit{I. García-Honrado} and \textit{E. Trillas}, in: Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-2011) and 17th annual LFA meeting, Aix-Les-Bains, France, July 18--22, 2011. Amsterdam: Atlantis Press. Paper No. 88, 598--604 (2011; Zbl 1254.03097) Full Text: DOI
Trillas, Enric; Alsina, Claudi; Renedo, Eloy On some schemes of reasoning in fuzzy logic. (English) Zbl 1252.03065 New Math. Nat. Comput. 7, No. 3, 433-451 (2011). Reviewer: Ion Iancu (Craiova) MSC: 03B52 68T27 94D05 PDFBibTeX XMLCite \textit{E. Trillas} et al., New Math. Nat. Comput. 7, No. 3, 433--451 (2011; Zbl 1252.03065) Full Text: DOI
Trillas, Enric The principles of non-contradiction and excluded-middle in fuzzy logic, revisited. (English) Zbl 1217.03022 Appl. Comput. Math. 10, No. 1, 78-78 (2011). Reviewer: Siegfried J. Gottwald (Leipzig) MSC: 03B52 03E72 03G25 PDFBibTeX XMLCite \textit{E. Trillas}, Appl. Comput. Math. 10, No. 1, 78--78 (2011; Zbl 1217.03022) Full Text: Link
Trillas, Enric; García-Honrado, Itziar; Pradera, Ana Consequences and conjectures in preordered sets. (English) Zbl 1202.03042 Inf. Sci. 180, No. 19, 3573-3588 (2010). MSC: 03B99 03B22 03E72 03G10 68T27 PDFBibTeX XMLCite \textit{E. Trillas} et al., Inf. Sci. 180, No. 19, 3573--3588 (2010; Zbl 1202.03042) Full Text: DOI
Trillas, Enric; Guadarrama, Sergio Fuzzy representations need a careful design. (English) Zbl 1190.03028 Int. J. Gen. Syst. 39, No. 3, 329-346 (2010). MSC: 03B52 68T37 93C42 PDFBibTeX XMLCite \textit{E. Trillas} and \textit{S. Guadarrama}, Int. J. Gen. Syst. 39, No. 3, 329--346 (2010; Zbl 1190.03028) Full Text: DOI
García-Honrado, Itziar; Trillas, Enric Characterizing the ‘principles’ of non contradiction and excluded middle in \([0,1]\). (English) Zbl 1196.03073 Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 18, No. 2, 113-122 (2010). MSC: 03E72 03B52 68T37 PDFBibTeX XMLCite \textit{I. García-Honrado} and \textit{E. Trillas}, Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 18, No. 2, 113--122 (2010; Zbl 1196.03073) Full Text: DOI
Trillas, Enric; Mas, Margarita; Monserrat, Miquel; Torrens, Joan Conjecturing from consequences. (English) Zbl 1194.03016 Int. J. Gen. Syst. 38, No. 5, 567-578 (2009). MSC: 03A05 03A10 PDFBibTeX XMLCite \textit{E. Trillas} et al., Int. J. Gen. Syst. 38, No. 5, 567--578 (2009; Zbl 1194.03016) Full Text: DOI
Trillas, E.; García-Honrado, I.; Guadarrama, S.; Renedo, E. Crisp sets as classes of discontinuous fuzzy sets. (English) Zbl 1194.03050 Int. J. Approx. Reasoning 50, No. 8, 1298-1305 (2009). MSC: 03E72 68T37 PDFBibTeX XMLCite \textit{E. Trillas} et al., Int. J. Approx. Reasoning 50, No. 8, 1298--1305 (2009; Zbl 1194.03050) Full Text: DOI
Trillas, Enric On a model for the meaning of predicates – a naïve approach to the genesis of fuzzy sets. (English) Zbl 1174.03011 Seising, Rudolf (ed.), Views on fuzzy sets and systems from different perspectives. Philosophy and logic, criticisms and applications. Berlin: Springer (ISBN 978-3-540-93801-9/hbk; 978-3-540-93802-6/ebook). Studies in Fuzziness and Soft Computing 243, 175-205 (2009). Reviewer: Siegfried J. Gottwald (Leipzig) MSC: 03B65 03E72 68T30 91F20 PDFBibTeX XMLCite \textit{E. Trillas}, Stud. Fuzziness Soft Comput. 243, 175--205 (2009; Zbl 1174.03011) Full Text: DOI
Trillas, Enric Non contradiction, excluded middle, and fuzzy sets. (English) Zbl 1196.03041 Di Gesù, Vito (ed.) et al., Fuzzy logic and applications. 8th international workshop, WILF 2009, Palermo, Italy, June 9–12, 2009. Proceedings. Berlin: Springer (ISBN 978-3-642-02281-4/pbk). Lecture Notes in Computer Science 5571. Lecture Notes in Artificial Intelligence, 1-11 (2009). MSC: 03B52 03E72 03G25 06D30 68T37 PDFBibTeX XMLCite \textit{E. Trillas}, Lect. Notes Comput. Sci. 5571, 1--11 (2009; Zbl 1196.03041) Full Text: DOI
Trillas, E.; Mas, M.; Monserrat, M.; Torrens, J. On the representation of fuzzy rules. (English) Zbl 1189.03033 Int. J. Approx. Reasoning 48, No. 2, 583-597 (2008). MSC: 03B52 PDFBibTeX XMLCite \textit{E. Trillas} et al., Int. J. Approx. Reasoning 48, No. 2, 583--597 (2008; Zbl 1189.03033) Full Text: DOI
Alsina, Claudi; Trillas, Enric On the difference of fuzzy sets. (English) Zbl 1135.03021 Int. J. Intell. Syst. 23, No. 3, 355-363 (2008). Reviewer: Milan Mareš (Praha) MSC: 03E72 PDFBibTeX XMLCite \textit{C. Alsina} and \textit{E. Trillas}, Int. J. Intell. Syst. 23, No. 3, 355--363 (2008; Zbl 1135.03021) Full Text: DOI
Alsina, Claudi; Trillas, Enric On the law \(S(S(x,y),T(x,y))=S(x,y)\) of fuzzy logic. (English) Zbl 1158.03013 Fuzzy Optim. Decis. Mak. 6, No. 2, 99-107 (2007). MSC: 03B52 39B22 PDFBibTeX XMLCite \textit{C. Alsina} and \textit{E. Trillas}, Fuzzy Optim. Decis. Mak. 6, No. 2, 99--107 (2007; Zbl 1158.03013) Full Text: DOI
de Soto, Adolfo R.; Alvárez, Ana; Trillas, Enric Short note: Counting conjectures. (English) Zbl 1148.06004 Mathware Soft Comput. 14, No. 2, 165-170 (2007). MSC: 06C15 03G10 06A07 68T27 PDFBibTeX XMLCite \textit{A. R. de Soto} et al., Mathware Soft Comput. 14, No. 2, 165--170 (2007; Zbl 1148.06004) Full Text: EuDML
Pradera, Ana; Trillas, Enric; Guadarrama, Sergio; Renedo, Eloy On fuzzy set theories. (English) Zbl 1132.03028 Wang, Paul P. (ed.) et al., Fuzzy logic. A spectrum of theoretical and practical issues. Berlin: Springer (ISBN 978-3-540-71257-2/hbk). Studies in Fuzziness and Soft Computing 215, 15-47 (2007). Reviewer: Ketty Peeva (Sofia) MSC: 03E72 03-02 PDFBibTeX XMLCite \textit{A. Pradera} et al., Stud. Fuzziness Soft Comput. 215, 15--47 (2007; Zbl 1132.03028) Full Text: DOI
Pradera, Ana; Trillas, Enric Aggregation operators from the ancient NC and EM point of view. (English) Zbl 1249.03101 Kybernetika 42, No. 3, 243-260 (2006). MSC: 03E72 03B52 PDFBibTeX XMLCite \textit{A. Pradera} and \textit{E. Trillas}, Kybernetika 42, No. 3, 243--260 (2006; Zbl 1249.03101) Full Text: EuDML Link
Trillas, E.; Renedo, E.; Alsina, C. A short note on lattices allowing disjunctive reasoning. (English) Zbl 1119.03064 Mathware Soft Comput. 13, No. 2, 135-137 (2006). Reviewer: Florentina Chirteş (Craiova) MSC: 03G05 06D30 06C15 PDFBibTeX XMLCite \textit{E. Trillas} et al., Mathware Soft Comput. 13, No. 2, 135--137 (2006; Zbl 1119.03064) Full Text: EuDML
Garmendia, L.; Yager, R. R.; Trillas, E.; Salvador, A. A t-norm based specificity for fuzzy sets on compact domains. (English) Zbl 1116.03047 Int. J. Gen. Syst. 35, No. 6, 687-698 (2006). MSC: 03E72 28E10 PDFBibTeX XMLCite \textit{L. Garmendia} et al., Int. J. Gen. Syst. 35, No. 6, 687--698 (2006; Zbl 1116.03047) Full Text: DOI
Trillas, Enric On the use of words and fuzzy sets. (English) Zbl 1098.03066 Inf. Sci. 176, No. 11, 1463-1487 (2006). Reviewer: Witold Pedrycz (Edmonton) MSC: 03E72 68Q05 PDFBibTeX XMLCite \textit{E. Trillas}, Inf. Sci. 176, No. 11, 1463--1487 (2006; Zbl 1098.03066) Full Text: DOI
Trillas, Enric; Guadarrama, Sergio What about fuzzy logic’s linguistic soundness? (English) Zbl 1085.03019 Fuzzy Sets Syst. 156, No. 3, 334-340 (2005). MSC: 03B52 03E72 68T37 PDFBibTeX XMLCite \textit{E. Trillas} and \textit{S. Guadarrama}, Fuzzy Sets Syst. 156, No. 3, 334--340 (2005; Zbl 1085.03019) Full Text: DOI
Pradera, Ana; Trillas, Enric; Renedo, Eloy An overview on the construction of fuzzy set theories. (English) Zbl 1090.03025 New Math. Nat. Comput. 1, No. 3, 329-358 (2005). Reviewer: Claudi Alsina (Barcelona) MSC: 03E72 PDFBibTeX XMLCite \textit{A. Pradera} et al., New Math. Nat. Comput. 1, No. 3, 329--358 (2005; Zbl 1090.03025) Full Text: DOI
Garmendia, L.; Salvador, A.; Trillas, E.; Moraga, C. On measuring \(\mu\)-\(T\)-inconditionality of fuzzy relations. (English) Zbl 1076.03033 Soft Comput. 9, No. 3, 164-171 (2005). MSC: 03E72 PDFBibTeX XMLCite \textit{L. Garmendia} et al., Soft Comput. 9, No. 3, 164--171 (2005; Zbl 1076.03033) Full Text: DOI
Alsina, Claudi; Trillas, Enric On complementary logical connectives and relative complements. (English) Zbl 1169.03343 Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 13, No. 3, 255-261 (2005). MSC: 03B52 PDFBibTeX XMLCite \textit{C. Alsina} and \textit{E. Trillas}, Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 13, No. 3, 255--261 (2005; Zbl 1169.03343) Full Text: DOI
Alsina, Claudi; Trillas, Enric On the symmetric difference of fuzzy sets. (English) Zbl 1089.03018 Fuzzy Sets Syst. 153, No. 2, 181-194 (2005). Reviewer: Martine De Cock (Gent) MSC: 03B52 03E72 PDFBibTeX XMLCite \textit{C. Alsina} and \textit{E. Trillas}, Fuzzy Sets Syst. 153, No. 2, 181--194 (2005; Zbl 1089.03018) Full Text: DOI
Trillas, E.; Alsina, C.; Renedo, E.; Pradera, A. On contra-symmetry and MPT conditionality in fuzzy logic. (English) Zbl 1088.03025 Int. J. Intell. Syst. 20, No. 3, 313-326 (2005). Reviewer: Radko Mesiar (Bratislava) MSC: 03B52 PDFBibTeX XMLCite \textit{E. Trillas} et al., Int. J. Intell. Syst. 20, No. 3, 313--326 (2005; Zbl 1088.03025) Full Text: DOI
Trillas, Enric; Alsina, Claudi; Pradera, Ana On MPT-implication functions for fuzzy logic. (English) Zbl 1070.03014 RACSAM, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat. 98, No. 1-2, 259-271 (2004). Reviewer: Radko Mesiar (Bratislava) MSC: 03B52 68T37 PDFBibTeX XMLCite \textit{E. Trillas} et al., RACSAM, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat. 98, No. 1--2, 259--271 (2004; Zbl 1070.03014) Full Text: EuDML
Trillas, E.; Alsina, C. Standard theories of fuzzy sets with the law \((\mu\wedge\sigma')'=\sigma\vee(\mu'\wedge\sigma')\). (English) Zbl 1055.03032 Int. J. Approx. Reasoning 37, No. 2, 87-92 (2004). Reviewer: Józef Drewniak (Rzeszów) MSC: 03E72 03B52 03G20 PDFBibTeX XMLCite \textit{E. Trillas} and \textit{C. Alsina}, Int. J. Approx. Reasoning 37, No. 2, 87--92 (2004; Zbl 1055.03032) Full Text: DOI
Alsina, C.; Trillas, E.; Moraga, C. Combining degrees of impairment: the case of the index of Balthazard. (English) Zbl 1069.90060 Mathware Soft Comput. 10, No. 1, 23-41 (2003). MSC: 90B99 03E72 PDFBibTeX XMLCite \textit{C. Alsina} et al., Mathware Soft Comput. 10, No. 1, 23--41 (2003; Zbl 1069.90060) Full Text: EuDML
Alsina, Claudi; Trillas, Enric When \((S,N)\)-implications are \((T,T _{1})\)-conditional functions? (English) Zbl 1014.03026 Fuzzy Sets Syst. 134, No. 2, 305-310 (2003). Reviewer: E.Kerre (Gent) MSC: 03B52 68T37 PDFBibTeX XMLCite \textit{C. Alsina} and \textit{E. Trillas}, Fuzzy Sets Syst. 134, No. 2, 305--310 (2003; Zbl 1014.03026) Full Text: DOI
Trillas, Enric; Alsina, Claudi; Pradera, A. Searching for the roots of non-contradiction and excluded-middle. (English) Zbl 1019.03049 Int. J. Gen. Syst. 31, No. 5, 499-513 (2002). Reviewer: Siegfried Johannes Gottwald (Leipzig) MSC: 03G25 03B52 PDFBibTeX XMLCite \textit{E. Trillas} et al., Int. J. Gen. Syst. 31, No. 5, 499--513 (2002; Zbl 1019.03049) Full Text: DOI
Alsina, Claudi; Trillas, Enric On the functional equation \(S_1(x,y) = S_2(x,T (N(x),y))\). (English) Zbl 0996.39021 Daróczy, Zoltán (ed.) et al., Functional equations–results and advances. Dordrecht: Kluwer Academic Publishers. Adv. Math., Dordr. 3, 323-334 (2002). Reviewer: G.L.Forti (Milano) MSC: 39B42 03E72 PDFBibTeX XMLCite \textit{C. Alsina} and \textit{E. Trillas}, in: Functional equations---results and advances. Dordrecht: Kluwer Academic Publishers. 323--334 (2002; Zbl 0996.39021)
Mayor, Gaspar; de Soto, Adolfo R.; Suñer, Jaume; Trillas, Enric Multi-dimensional aggregation of fuzzy numbers through the extension principle. (English) Zbl 0996.03039 Lin, Tsau Young (ed.) et al., Data mining, rough sets and granular computing. Heidelberg: Physica-Verlag. Stud. Fuzziness Soft Comput. 95, 350-363 (2002). MSC: 03E72 PDFBibTeX XMLCite \textit{G. Mayor} et al., Stud. Fuzziness Soft Comput. 95, 350--363 (2002; Zbl 0996.03039)
Trillas, Enric; Alsina, Claudi Fuzzy sets from a mathematical-naïve point of view. (English) Zbl 1004.03045 Bouchon-Meunier, Bernadette (ed.) et al., Technologies for constructing intelligent systems. 2: Tools. Heidelberg: Physica-Verlag. Stud. Fuzziness Soft Comput. 90, 381-391 (2002). Reviewer: Krassimir Atanassov (Sofia) MSC: 03E72 PDFBibTeX XMLCite \textit{E. Trillas} and \textit{C. Alsina}, Stud. Fuzziness Soft Comput. 90, 381--391 (2002; Zbl 1004.03045)
Trillas, Enric; Alsina, Claudi Comments to “Paradoxes of fuzzy logic, revisited”. (English) Zbl 0979.03024 Int. J. Approx. Reasoning 26, No. 2, 157-159 (2001). MSC: 03B52 PDFBibTeX XMLCite \textit{E. Trillas} and \textit{C. Alsina}, Int. J. Approx. Reasoning 26, No. 2, 157--159 (2001; Zbl 0979.03024) Full Text: DOI
Trillas, Enric; Alsina, Claudi Elkan’s theoretical argument, reconsidered. (English) Zbl 0979.03022 Int. J. Approx. Reasoning 26, No. 2, 145-152 (2001). Reviewer: Siegfried Johannes Gottwald (Leipzig) MSC: 03B52 03E72 68T27 PDFBibTeX XMLCite \textit{E. Trillas} and \textit{C. Alsina}, Int. J. Approx. Reasoning 26, No. 2, 145--152 (2001; Zbl 0979.03022) Full Text: DOI
Pradera, Ana; Trillas, Enric; Cubillo, Susana On modus ponens generating functions. (English) Zbl 1113.03320 Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 8, No. 1, 7-19 (2000). MSC: 03B52 PDFBibTeX XMLCite \textit{A. Pradera} et al., Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 8, No. 1, 7--19 (2000; Zbl 1113.03320) Full Text: DOI
Trillas, Enric; de Soto, Adolfo R.; Cubillo, Susanna A glance at implication and T-conditional functions. (English) Zbl 1006.03027 Novák, Vilém (ed.) et al., Discovering the world with fuzzy logic. Heidelberg: Physica-Verlag. Stud. Fuzziness Soft Comput. 57, 126-147 (2000). Reviewer: M.Matłoka (Poznań) MSC: 03B52 03E72 PDFBibTeX XMLCite \textit{E. Trillas} et al., Stud. Fuzziness Soft Comput. 57, 126--147 (2000; Zbl 1006.03027)
Trillas, Enric; del Campo, Cristina; Cubillo, Susana When \(QM\)-operators are implication functions and conditional fuzzy relations. (English) Zbl 0953.03031 Int. J. Intell. Syst. 15, No. 7, 647-655 (2000). MSC: 03B52 68T37 PDFBibTeX XMLCite \textit{E. Trillas} et al., Int. J. Intell. Syst. 15, No. 7, 647--655 (2000; Zbl 0953.03031) Full Text: DOI
Trillas, Enric; Alsina, Claudi; Jacas, Joan On logical connectives for a fuzzy set theory with or without nonempty self-contradictions. (English) Zbl 0966.03051 Int. J. Intell. Syst. 15, No. 3, 155-164 (2000). MSC: 03E72 03B52 PDFBibTeX XMLCite \textit{E. Trillas} et al., Int. J. Intell. Syst. 15, No. 3, 155--164 (2000; Zbl 0966.03051) Full Text: DOI
Trillas, Enric; Alsina, Claudi A reflection on what is a membership function. (English) Zbl 0968.28013 Mathware Soft Comput. 6, No. 2-3, 201-215 (1999). Reviewer: B.Riečan (Bratislava) MSC: 28E10 03E72 PDFBibTeX XMLCite \textit{E. Trillas} and \textit{C. Alsina}, Mathware Soft Comput. 6, No. 2--3, 201--215 (1999; Zbl 0968.28013) Full Text: EuDML
Alsina, Claudi; Castiñeira, Elena; Terricabras, Josep-Maria; Trillas, Enric Some actual aspects of Karl Menger’s work. (Alcuni aspetti attuali dell’opera di Karl Menger (1902-1985).) (Italian) Zbl 0949.01024 Dell’Aglio, Luca (ed.), PRISTEM/History. Notes on mathematics, history, culture. 2. Milano: Springer. 31-54 (1999). Reviewer: H.Grimm (Jena) MSC: 01A70 60-03 03B52 PDFBibTeX XMLCite \textit{C. Alsina} et al., in: PRISTEM/Storia. Note di matematica, storia, cultura. 2. Milano: Springer. 31--54 (1999; Zbl 0949.01024)
de Soto, Adolfo R.; Trillas, Enric On antonym and negate in fuzzy logic. (English) Zbl 0922.03041 Int. J. Intell. Syst. 14, No. 3, 295-303 (1999). Reviewer: V.Novák (Ostrava) MSC: 03B65 03B52 68T30 PDFBibTeX XMLCite \textit{A. R. de Soto} and \textit{E. Trillas}, Int. J. Intell. Syst. 14, No. 3, 295--303 (1999; Zbl 0922.03041) Full Text: DOI
Castro, J. L.; Trillas, E. The logic of neural networks. (English) Zbl 1022.68607 Mathware Soft Comput. 5, No. 1, 23-37 (1998). MSC: 68T05 94C10 03B50 PDFBibTeX XMLCite \textit{J. L. Castro} and \textit{E. Trillas}, Mathware Soft Comput. 5, No. 1, 23--37 (1998; Zbl 1022.68607) Full Text: EuDML
Castro, J. L.; Trillas, E.; Zurita, J. M. Non-monotonic fuzzy reasoning. (English) Zbl 0922.03034 Fuzzy Sets Syst. 94, No. 2, 217-225 (1998). MSC: 03B52 68T27 68T30 PDFBibTeX XMLCite \textit{J. L. Castro} et al., Fuzzy Sets Syst. 94, No. 2, 217--225 (1998; Zbl 0922.03034) Full Text: DOI
Sobrino, Alejandro; Trillas, Enric Can fuzzy logic help to pose some problems in the philosophy of science? (English) Zbl 0954.03004 Ibarra, Andoni (ed.) et al., Representations of scientific rationality. Contemporary formal philosophy of science in Spain. Amsterdam: Rodopi. Poznań Studies in the Philosophy of the Sciences and the Humanities. 61, 277-300 (1997). Reviewer: Siegfried Johannes Gottwald (Leipzig) MSC: 03A05 03E72 00A30 PDFBibTeX XMLCite \textit{A. Sobrino} and \textit{E. Trillas}, in: Representations of scientific rationality. Contemporary formal philosophy of science in Spain. Amsterdam: Rodopi. 277--300 (1997; Zbl 0954.03004)
de Soto, Adolfo R.; Trillas, Enric; Cubillo, Susana Classes of fuzzy sets with the same material conditional. (English) Zbl 0935.03041 Int. J. Approx. Reasoning 16, No. 3-4, 225-233 (1997). MSC: 03B52 03E72 68T37 PDFBibTeX XMLCite \textit{A. R. de Soto} et al., Int. J. Approx. Reasoning 16, No. 3--4, 225--233 (1997; Zbl 0935.03041) Full Text: DOI
Trillas, Enric; Alsina, Claudi; Termini, Settimo Didactical note: Probabilistic conditionality in a Boolean algebra. (English) Zbl 0862.03038 Mathware Soft Comput. 3, No. 1-2, 149-157 (1996). Reviewer: S.Rudeanu (Bucureşti) MSC: 03G05 06E30 60B99 PDFBibTeX XMLCite \textit{E. Trillas} et al., Mathware Soft Comput. 3, No. 1--2, 149--157 (1996; Zbl 0862.03038) Full Text: EuDML
Trillas, Enric; Cubillo, Susana Modus ponens on Boolean algebras revisited. (English) Zbl 0862.03037 Mathware Soft Comput. 3, No. 1-2, 105-112 (1996). Reviewer: S.Rudeanu (Bucureşti) MSC: 03G05 06E30 PDFBibTeX XMLCite \textit{E. Trillas} and \textit{S. Cubillo}, Mathware Soft Comput. 3, No. 1--2, 105--112 (1996; Zbl 0862.03037) Full Text: EuDML
Trillas, Enric Menger’s trace in fuzzy logic. (English) Zbl 0922.03031 Theoria, Segunda Epoca 11, No. 27, 89-96 (1996). MSC: 03B52 03-03 01A60 PDFBibTeX XMLCite \textit{E. Trillas}, Theoria, Segunda Epoca 11, No. 27, 89--96 (1996; Zbl 0922.03031)
Trillas, Enric; Cubillo, Susana; Castro, Juan Luis Conjunction and disjunction on \(([0,1],\leq)\). (English) Zbl 0844.03010 Fuzzy Sets Syst. 72, No. 2, 155-165 (1995). MSC: 03B50 PDFBibTeX XMLCite \textit{E. Trillas} et al., Fuzzy Sets Syst. 72, No. 2, 155--165 (1995; Zbl 0844.03010) Full Text: DOI
Trillas, Enric; Cubillo, Susana; De Soto, Adolfo R. On the identity of fuzzy material conditionals. (English) Zbl 0829.03012 Mathware Soft Comput. 1, No. 3, 309-314 (1994). MSC: 03B52 PDFBibTeX XMLCite \textit{E. Trillas} et al., Mathware Soft Comput. 1, No. 3, 309--314 (1994; Zbl 0829.03012) Full Text: EuDML
Trillas, E.; Rodríguez, A.; Cubillo, S. Ovchinnikov’s automorphisms revisited. (English) Zbl 0814.04006 Mathware Soft Comput. 1, No. 1, 83-92 (1994). MSC: 03E72 PDFBibTeX XMLCite \textit{E. Trillas} et al., Mathware Soft Comput. 1, No. 1, 83--92 (1994; Zbl 0814.04006) Full Text: EuDML
Trillas, E.; Cubillo, S. On monotonic fuzzy conditionals. (English) Zbl 0805.04004 J. Appl. Non-Class. Log. 4, No. 2, 201-214 (1994). MSC: 03E72 PDFBibTeX XMLCite \textit{E. Trillas} and \textit{S. Cubillo}, J. Appl. Non-Class. Log. 4, No. 2, 201--214 (1994; Zbl 0805.04004) Full Text: DOI
Castro, J. L.; Delgado, M.; Trillas, E. Inducing implication relations. (English) Zbl 0809.68095 Int. J. Approx. Reasoning 10, No. 3, 235-250 (1994). MSC: 68T05 03B48 PDFBibTeX XMLCite \textit{J. L. Castro} et al., Int. J. Approx. Reasoning 10, No. 3, 235--250 (1994; Zbl 0809.68095) Full Text: DOI
Castro, J. L.; Trillas, E.; Cubillo, S. On consequence in approximate reasoning. (English) Zbl 0794.03032 J. Appl. Non-Class. Log. 4, No. 1, 91-103 (1994). MSC: 03B50 03B52 68T27 03B80 PDFBibTeX XMLCite \textit{J. L. Castro} et al., J. Appl. Non-Class. Log. 4, No. 1, 91--103 (1994; Zbl 0794.03032) Full Text: DOI
Trillas, E. On logic and fuzzy logic. (English) Zbl 1232.03020 Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 1, No. 2, 107-137 (1993). MSC: 03B52 68T37 PDFBibTeX XMLCite \textit{E. Trillas}, Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 1, No. 2, 107--137 (1993; Zbl 1232.03020) Full Text: DOI
Trillas, Enric; Alsina, Claudi Logic: Going farther from Tarski? (English) Zbl 0792.03012 Fuzzy Sets Syst. 53, No. 1, 1-13 (1993). Reviewer: C.Alsina (Barcelona) MSC: 03B52 PDFBibTeX XMLCite \textit{E. Trillas} and \textit{C. Alsina}, Fuzzy Sets Syst. 53, No. 1, 1--13 (1993; Zbl 0792.03012) Full Text: DOI
Trillas, Enric Fuzzy logic. (Spanish) Zbl 0850.03029 Trillas, Enric (ed.) et al., Applications of fuzzy logic. Proceedings of the summer school, Madrid, Spain 1991. Madrid: Consejo Superior de Investigaciones Científicas. 1-13 (1992). MSC: 03B52 PDFBibTeX XMLCite \textit{E. Trillas}, in: Aplicaciones de la lógica borrosa. Conferencias del curso de verano, Madrid, España, 1991. Madrid: Consejo Superior de Investigaciones \newline Científicas. 1--13 (1992; Zbl 0850.03029)
Trillas, Enric (ed.); Gutiérrez Ríos, Julio (ed.) Applications of fuzzy logic. Proceedings of the summer school, Madrid, Spain 1991. (Aplicaciones de la lógica borrosa. Conferencias del curso de verano, Madrid, España, 1991.) (Spanish) Zbl 0842.00031 Madrid: Consejo Superior de Investigaciones Científicas. x, 226 p. (1992). MSC: 00B25 03-06 PDFBibTeX XMLCite \textit{E. Trillas} (ed.) and \textit{J. Gutiérrez Ríos} (ed.), Aplicaciones de la lógica borrosa. Conferencias del curso de verano, Madrid, España, 1991 (Spanish). Madrid: Consejo Superior de Investigaciones \newline Científicas (1992; Zbl 0842.00031)
Alsina, Claudi; Trillas, Enric On almost distributive Łukasiewicz triplets. (English) Zbl 0782.04006 Fuzzy Sets Syst. 50, No. 2, 175-178 (1992). MSC: 03E72 PDFBibTeX XMLCite \textit{C. Alsina} and \textit{E. Trillas}, Fuzzy Sets Syst. 50, No. 2, 175--178 (1992; Zbl 0782.04006) Full Text: DOI
Trillas, Enric On exact conditionals. (English) Zbl 0780.03004 Stochastica 13, No. 1, 137-143 (1992). Reviewer: S.Gottwald (Leipzig) MSC: 03B22 03G99 PDFBibTeX XMLCite \textit{E. Trillas}, Stochastica 13, No. 1, 137--143 (1992; Zbl 0780.03004) Full Text: EuDML
Alsina, Claudi; Trillas, Enric Synthesizing implications. (English) Zbl 0794.68153 Int. J. Intell. Syst. 7, No. 8, 705-713 (1992). MSC: 68T30 03B52 PDFBibTeX XMLCite \textit{C. Alsina} and \textit{E. Trillas}, Int. J. Intell. Syst. 7, No. 8, 705--713 (1992; Zbl 0794.68153) Full Text: DOI
Trillas, Enric A short introduction to fuzzy logic. (Spanish) Zbl 0735.03010 Rev. R. Acad. Cienc. Exactas Fís. Nat. Madr. 83, No. 3-4, 187-199 (1989). Reviewer: S.Rudeanu (Bucureşti) MSC: 03B52 03-01 03E72 PDFBibTeX XMLCite \textit{E. Trillas}, Rev. R. Acad. Cienc. Exactas Fís. Nat. Madr. 83, No. 3--4, 187--199 (1989; Zbl 0735.03010)
Trillas, Enric On functions that cannot be MV-truth values in algebraic structures. (English) Zbl 0693.03043 Stochastica 12, No. 2-3, 223-227 (1988). MSC: 03G25 03B50 PDFBibTeX XMLCite \textit{E. Trillas}, Stochastica 12, No. 2--3, 223--227 (1988; Zbl 0693.03043) Full Text: EuDML
Alsina, Claudi; Trillas, Enric Additive homogeneity of logical connectives for membership functions. (English) Zbl 0682.03012 Analysis of fuzzy information, Vol. 1: Math. logic, 179-183 (1987). Reviewer: A.Di Nola MSC: 03B52 PDFBibTeX XML
Kacprzyk, Janusz (ed.); Yager, Ronald R. (ed.) [Orlovski, S. A.; Trillas, E.; Valverde, L.; Gaines, B. R.; Shaw, M. L. G.; Ponsard, C.; Bedrosian, S. D.; Carlsson, C.; Negoita, C. V.; Radecki, T.; Borisov, A.; Glushkov, V.; Lusk, E. J.; Neves, J.; Nowakowska, M.; Bookstein, A.; Kacprzyk, J.; Tanaka, H.; Ichihashi, H.; Asai, K.; Esogbue, A. O.; Kandel, A.; Dubois, D.; Prade, H.; Bouchon, B.; Turksen, I. B.; Mizumoto, M.; Buckles, B. P.; Petry, F. E.; Baldwin, J. F.; Baldwin, P.; Brown, S.; Ernst, C. J.; Alexeyev, A. V.; Umano, M.; Rine, D. C.; Ogawa, H.; Fu, K. S.; Yao, J. T. P.; Cooley, J. W.; Hicks, J. D. jun.; Czogała, Ernest; Pedrycz, W.] Management decision support systems using fuzzy sets and possibility theory. (English) Zbl 0561.94020 Interdisciplinary Systems Research, 83. Köln: Verlag TÜV Rheinland. XI, 350 p. DM 48.00 (1985). Reviewer: Siegfried J. Gottwald (Leipzig) MSC: 94D05 68T99 90B99 94-06 68-06 90-06 68U20 03B52 PDFBibTeX XML
Trillas, Enric Some comments on Menger’s ”logic of wishes and commands”. (English) Zbl 0599.03025 Applied logic, Proc. Fall Int. Semin., Porto Colom/Spain 1983, 127-145 (1984). MSC: 03B60 PDFBibTeX XML
Trillas, E.; Valverde, L. An inquiry into indistinguishability operators. (English) Zbl 0564.03027 Aspects of vagueness, Theory Decis. Libr. 39, 231-256 (1984). Reviewer: D.Costantini MSC: 03B99 60A05 PDFBibTeX XML
Skala, Heinz J. (ed.); Termini, S. (ed.); Trillas, E. (ed.) Aspects of vagueness. (Papers presented at the Second World Conference on Mathematics at the Services of Man, held at the Universidad Politecnica de Las Palmas, Canary Islands, Spain, June 23 to July 3, 1982, and sponsored by the Cabildo Insular de Gran Canaria and the Universidad). (English) Zbl 0533.00005 Theory and Decision Library, Vol. 39. Dordrecht-Boston-Lancaster: D. Reidel Publishing Company, a Member of the Kluwer Academic Publishers Group. VII, 304 p. Dfl. 105.00; $ 39.50 (1984). MSC: 00Bxx 03-06 PDFBibTeX XML
Trillas, Enric Approximation to an ingeneous mathematical logical analysis of synonymy. (Catalan) Zbl 0603.03007 Mathematical logic, Proc. 2nd Catalonian Congr., Barcelona/Spain 1983, 35-45 (1983). MSC: 03B52 03E72 03B65 PDFBibTeX XML
Trillas, Enric An approach to fuzziness in the setting of \({\L}ukasiewicz\) logic. (English) Zbl 0577.03009 Multiple-valued logic, Proc. 13th Int. Symp., Kyoto/Jap. 1983, 222-226 (1983). MSC: 03B52 03B50 03E72 PDFBibTeX XML
Alsina, C.; Trillas, E.; Valverde, L. On some logical connectives for fuzzy sets theory. (English) Zbl 0522.03012 J. Math. Anal. Appl. 93, 15-26 (1983). MSC: 03B50 03E72 PDFBibTeX XMLCite \textit{C. Alsina} et al., J. Math. Anal. Appl. 93, 15--26 (1983; Zbl 0522.03012) Full Text: DOI
Trillas, E.; Valverde, L. A few remarks on some lattice-type properties of fuzzy connectives. (English) Zbl 0546.03015 Multiple-valued logic, Proc. 12th int. Symp., Paris 1982, 228-231 (1982). Reviewer: M.Mareš MSC: 03B52 PDFBibTeX XML
Trillas, Enric Essay on the relations of indistinguishability. (Catalan) Zbl 0527.03006 Mathematical logic, Proc. 1st Catalonian Congr., Barcelona 1982, 51-59 (1982). MSC: 03B52 03B60 03E72 PDFBibTeX XML
Trillas, E. On the ”equality” of fuzzy sets. (Spanish) Zbl 0516.03014 Rev. R. Acad. Cienc. Exactas Fis. Nat. Madr. 76, 895-899 (1982). MSC: 03B52 94D05 PDFBibTeX XMLCite \textit{E. Trillas}, Rev. R. Acad. Cienc. Exactas Fís. Nat. Madr. 76, 895--899 (1982; Zbl 0516.03014) Full Text: EuDML
Domingo, X.; Trillas, E.; Valverde, L. Pushing Łukasiewicz-Tarski implication a little farther. (English) Zbl 0564.03022 Multiple-valued logic, Proc. 11th int. Symp., Oklahoma City and Norman/Okla. 1981, 232-234 (1981). Reviewer: A.Hoogewijs MSC: 03B50 PDFBibTeX XML
Trillas, E.; Alsina, C. On Sheffer stroke. (English) Zbl 0553.03039 Multiple-valued logic, Proc. 11th int. Symp., Oklahoma City and Norman/Okla. 1981, 244-245 (1981). MSC: 03G10 03B05 06D30 PDFBibTeX XML
Esteva, F.; Trillas, E.; Domingo, X. Weak and strong negation functions for fuzzy set theory. (English) Zbl 0548.03036 Multiple-valued logic, Proc. 11th int. Symp., Oklahoma City and Norman/Okla. 1981, 23-26 (1981). MSC: 03G25 03E72 03G10 03B52 PDFBibTeX XML
Trillas, Enric; Valverde, Llorenc On some functionally expressable implications for fuzzy set theory. (English) Zbl 0498.03015 Fuzzy set theory, Proc. 3rd int. Semin., Linz/Austria 1981, 174-190 (1981). MSC: 03B52 03B50 03E72 PDFBibTeX XML
Trillas, Enrique Fuzzy sets. (Conjuntos borrosos). (Spanish) Zbl 0467.03001 Barcelona: Editorial Vicens-Vives. VI, 181 p. Pts. 1.164.00; DM 29.10 (1980). MSC: 03-02 92-02 94D05 03A05 03B45 03B50 03B52 03E72 03G12 03G05 60A99 00A06 00A05 00A30 00-02 92F05 PDFBibTeX XML
Trillas, E. On negation functions in the theory of fuzzy sets. (Spanish) Zbl 0419.03035 Stochastica 3, No. 1, 47-59 (1979). MSC: 03E72 03B52 PDFBibTeX XMLCite \textit{E. Trillas}, Stochastica 3, No. 1, 47--59 (1979; Zbl 0419.03035) Full Text: EuDML
Trillas, E. Note on negation functions for fuzzy sets. Rev. Univ. Santander No. 2, Part 2. (Spanish) Zbl 0938.03548 Proceedings of the 6th conference of Portuguese and Spanish mathematicians, Santander, Spain, June 5-8, 1979. Part II. Santander: Univ. Santander, 935-937 (1979). MSC: 03E72 PDFBibTeX XMLCite \textit{E. Trillas}, in: Actas de las VI jornadas de matemáticas hispano-lusas. Part II. Santander: Univ. Santander. 935--937 (1979; Zbl 0938.03548)