Pavlík, Jan Distributivity of a segmentation lattice. (English) Zbl 07774896 Discrete Appl. Math. 339, 300-316 (2023). Reviewer: Steven B. Damelin (Ann Arbor) MSC: 68U10 06A15 06D05 54A05 PDFBibTeX XMLCite \textit{J. Pavlík}, Discrete Appl. Math. 339, 300--316 (2023; Zbl 07774896) Full Text: DOI
Ronse, Christian A generalisation of flat morphology. II: Main properties, duality and hybrid operators. (English) Zbl 1527.68254 J. Math. Imaging Vis. 65, No. 4, 657-685 (2023). MSC: 68U10 06B23 06E30 06F20 26A45 PDFBibTeX XMLCite \textit{C. Ronse}, J. Math. Imaging Vis. 65, No. 4, 657--685 (2023; Zbl 1527.68254) Full Text: DOI
Ronse, Christian Reflections on a scientific career and its possible legacy. (English) Zbl 1522.68010 Baudrier, Étienne (ed.) et al., Discrete geometry and mathematical morphology. Second international joint conference, DGMM 2022, Strasbourg, France, October 24–27, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13493, 3-16 (2022). MSC: 68-03 06A15 06B23 68U03 68U05 68U10 PDFBibTeX XMLCite \textit{C. Ronse}, Lect. Notes Comput. Sci. 13493, 3--16 (2022; Zbl 1522.68010) Full Text: DOI
Karaçal, Funda; Köroğlu, Tuncay A principal topology obtained from uninorms. (English) Zbl 07655863 Kybernetika 58, No. 6, 863-882 (2022). MSC: 03E72 03B52 06B30 06F30 08A72 54A10 PDFBibTeX XMLCite \textit{F. Karaçal} and \textit{T. Köroğlu}, Kybernetika 58, No. 6, 863--882 (2022; Zbl 07655863) Full Text: DOI
Barrera, Junior; Hashimoto, Ronaldo F.; Hirata, Nina S. T.; Hirata, R. jun.; Reis, Marcelo S. From mathematical morphology to machine learning of image operators. (English) Zbl 07595686 São Paulo J. Math. Sci. 16, No. 1, 616-657 (2022). MSC: 68U10 68T10 06E30 06D50 PDFBibTeX XMLCite \textit{J. Barrera} et al., São Paulo J. Math. Sci. 16, No. 1, 616--657 (2022; Zbl 07595686) Full Text: DOI
Sun, Feng; Qu, Xiao-bing Resolution of fuzzy relation equations with increasing operations over complete lattices. (English) Zbl 07768974 Inf. Sci. 570, 451-467 (2021). MSC: 03-XX 06-XX PDFBibTeX XMLCite \textit{F. Sun} and \textit{X.-b. Qu}, Inf. Sci. 570, 451--467 (2021; Zbl 07768974) Full Text: DOI
Berthier, Michel; Provenzi, Edoardo Hunt’s colorimetric effect from a quantum measurement viewpoint. (English) Zbl 1487.81006 Nielsen, Frank (ed.) et al., Geometric science of information. 5th international conference, GSI 2021, Paris, France, July 21–23, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12829, 172-180 (2021). MSC: 81P15 81P16 92B20 06C15 PDFBibTeX XMLCite \textit{M. Berthier} and \textit{E. Provenzi}, Lect. Notes Comput. Sci. 12829, 172--180 (2021; Zbl 1487.81006) Full Text: DOI HAL
Ronse, Christian Flat morphological operators from non-increasing set operators. I: General theory. (English) Zbl 1475.68426 Math. Morphol., Theory Appl. 5, 70-107 (2021). MSC: 68U10 06A06 06B23 06E30 06F20 26A45 PDFBibTeX XMLCite \textit{C. Ronse}, Math. Morphol., Theory Appl. 5, 70--107 (2021; Zbl 1475.68426) Full Text: DOI
Lézoray, Olivier Mathematical morphology based on stochastic permutation orderings. (English) Zbl 1475.68412 Math. Morphol., Theory Appl. 5, 43-69 (2021). MSC: 68U05 06A05 06B23 62H35 68R10 68U10 PDFBibTeX XMLCite \textit{O. Lézoray}, Math. Morphol., Theory Appl. 5, 43--69 (2021; Zbl 1475.68412) Full Text: DOI
Bloch, Isabelle Modeling imprecise and bipolar algebraic and topological relations using morphological dilations. (English) Zbl 1475.68379 Math. Morphol., Theory Appl. 5, 1-20 (2021). MSC: 68T37 03B52 03E72 06B23 68T30 68U05 PDFBibTeX XMLCite \textit{I. Bloch}, Math. Morphol., Theory Appl. 5, 1--20 (2021; Zbl 1475.68379) Full Text: DOI
Lenzi, Giacomo; Di Nola, Antonio The spectrum problem for abelian \(\ell\)-groups and MV-algebras. (English) Zbl 1460.06002 Algebra Univers. 81, No. 3, Paper No. 39, 43 p. (2020). Reviewer: Daniele Mundici (Firenze) MSC: 06D35 06F20 06D20 06D50 PDFBibTeX XMLCite \textit{G. Lenzi} and \textit{A. Di Nola}, Algebra Univers. 81, No. 3, Paper No. 39, 43 p. (2020; Zbl 1460.06002) Full Text: DOI arXiv
Ronse, Christian Semimodularity and the Jordan-Hölder theorem in posets, with applications to partial partitions. (English) Zbl 1468.06019 J. Algebr. Comb. 50, No. 3, 255-280 (2019). MSC: 06C10 06A06 PDFBibTeX XMLCite \textit{C. Ronse}, J. Algebr. Comb. 50, No. 3, 255--280 (2019; Zbl 1468.06019) Full Text: DOI
Berghammer, Rudolf; Winter, Michael Order- and graph-theoretic investigation of dimensions of finite topological spaces and Alexandroff spaces. (English) Zbl 1454.54024 Monatsh. Math. 190, No. 1, 33-78 (2019). Reviewer: Miguel Ottina (Mendoza) MSC: 54F45 06A06 05C90 PDFBibTeX XMLCite \textit{R. Berghammer} and \textit{M. Winter}, Monatsh. Math. 190, No. 1, 33--78 (2019; Zbl 1454.54024) Full Text: DOI
Antoni, Lubomir; Krajči, Stanislav; Krídlo, Ondrej Representation of fuzzy subsets by Galois connections. (English) Zbl 1454.06002 Fuzzy Sets Syst. 326, 52-68 (2017). MSC: 06A15 03E72 06B23 03B65 PDFBibTeX XMLCite \textit{L. Antoni} et al., Fuzzy Sets Syst. 326, 52--68 (2017; Zbl 1454.06002) Full Text: DOI
Boccuto, Antonio; Di Nola, Antonio; Vitale, Gaetano Affine representations of \(\ell\)-groups and MV-algebras. (English) Zbl 1420.06012 Algebra Univers. 78, No. 4, 563-577 (2017). MSC: 06B15 06F20 06D35 46B40 PDFBibTeX XMLCite \textit{A. Boccuto} et al., Algebra Univers. 78, No. 4, 563--577 (2017; Zbl 1420.06012) Full Text: DOI
Valle, Marcos Eduardo; Valente, Raul Ambrozio Mathematical morphology on the spherical CIELab quantale with an application in color image boundary detection. (English) Zbl 1409.68311 J. Math. Imaging Vis. 57, No. 2, 183-201 (2017). MSC: 68U05 06B23 06F07 68U10 PDFBibTeX XMLCite \textit{M. E. Valle} and \textit{R. A. Valente}, J. Math. Imaging Vis. 57, No. 2, 183--201 (2017; Zbl 1409.68311) Full Text: DOI
Sussner, Peter Lattice fuzzy transforms from the perspective of mathematical morphology. (English) Zbl 1374.06011 Fuzzy Sets Syst. 288, 115-128 (2016). MSC: 06B23 06B99 41A65 PDFBibTeX XMLCite \textit{P. Sussner}, Fuzzy Sets Syst. 288, 115--128 (2016; Zbl 1374.06011) Full Text: DOI
Zhou, Xin; Zhao, Bin; Han, Shengwei Roughness in \(m\)-semilattices. (English) Zbl 1361.06001 J. Intell. Fuzzy Syst. 30, No. 4, 2331-2338 (2016). MSC: 06A12 PDFBibTeX XMLCite \textit{X. Zhou} et al., J. Intell. Fuzzy Syst. 30, No. 4, 2331--2338 (2016; Zbl 1361.06001) Full Text: DOI
Su, Yong; Wang, Zhudeng Deresiduums of implications on a complete lattice. (English) Zbl 1387.03070 Inf. Sci. 325, 504-520 (2015). MSC: 03G10 03B52 06B23 PDFBibTeX XMLCite \textit{Y. Su} and \textit{Z. Wang}, Inf. Sci. 325, 504--520 (2015; Zbl 1387.03070) Full Text: DOI
Valle, Marcos Eduardo; Valente, Raul Ambrozio Elementary morphological operations on the spherical CIELab quantale. (English) Zbl 1445.68266 Benediktsson, Jón Atli (ed.) et al., Mathematical morphology and its applications to signal and image processing. 12th international symposium, ISMM 2015, Reykjavik, Iceland, May 27–29, 2015. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9082, 375-386 (2015). MSC: 68U05 06F07 68U10 PDFBibTeX XMLCite \textit{M. E. Valle} and \textit{R. A. Valente}, Lect. Notes Comput. Sci. 9082, 375--386 (2015; Zbl 1445.68266) Full Text: DOI
Ronse, Christian Ordering partial partitions for image segmentation and filtering: merging, creating and inflating blocks. (English) Zbl 1291.68422 J. Math. Imaging Vis. 49, No. 1, 202-233 (2014). MSC: 68U10 05A18 06A06 PDFBibTeX XMLCite \textit{C. Ronse}, J. Math. Imaging Vis. 49, No. 1, 202--233 (2014; Zbl 1291.68422) Full Text: DOI HAL
Bloch, Isabelle Mathematical morphology on bipolar fuzzy sets: general algebraic framework. (English) Zbl 1264.68163 Int. J. Approx. Reasoning 53, No. 7, 1031-1060 (2012). MSC: 68T30 06B23 68T37 68U10 PDFBibTeX XMLCite \textit{I. Bloch}, Int. J. Approx. Reasoning 53, No. 7, 1031--1060 (2012; Zbl 1264.68163) Full Text: DOI
Valle, Marcos Eduardo; Grande Vicente, Daniela Maria Sparsely connected autoassociative lattice memories with an application for the reconstruction of color images. (English) Zbl 1255.68270 J. Math. Imaging Vis. 44, No. 3, 195-222 (2012). MSC: 68U10 94A08 06B23 PDFBibTeX XMLCite \textit{M. E. Valle} and \textit{D. M. Grande Vicente}, J. Math. Imaging Vis. 44, No. 3, 195--222 (2012; Zbl 1255.68270) Full Text: DOI
Ronse, Christian Idempotent block splitting on partial partitions. II: Non-isotone operators. (English) Zbl 1251.03051 Order 28, No. 2, 307-339 (2011). Reviewer: Marcel Wild (Stellenbosch) MSC: 03E02 06A15 06B99 68U10 PDFBibTeX XMLCite \textit{C. Ronse}, Order 28, No. 2, 307--339 (2011; Zbl 1251.03051) Full Text: DOI
Ronse, Christian Idempotent block splitting on partial partitions. I: Isotone operators. (English) Zbl 1251.03050 Order 28, No. 2, 273-306 (2011). Reviewer: Marcel Wild (Stellenbosch) MSC: 03E02 06A15 06B99 68U10 PDFBibTeX XMLCite \textit{C. Ronse}, Order 28, No. 2, 273--306 (2011; Zbl 1251.03050) Full Text: DOI
Bloch, Isabelle Lattices of fuzzy sets and bipolar fuzzy sets, and mathematical morphology. (English) Zbl 1216.68323 Inf. Sci. 181, No. 10, 2002-2015 (2011). MSC: 68U10 06B23 PDFBibTeX XMLCite \textit{I. Bloch}, Inf. Sci. 181, No. 10, 2002--2015 (2011; Zbl 1216.68323) Full Text: DOI
Nachtegael, M.; Sussner, P.; Mélange, T.; Kerre, E. E. On the role of complete lattices in mathematical morphology: from tool to uncertainty model. (English) Zbl 1216.68326 Inf. Sci. 181, No. 10, 1971-1988 (2011). MSC: 68U10 06B23 PDFBibTeX XMLCite \textit{M. Nachtegael} et al., Inf. Sci. 181, No. 10, 1971--1988 (2011; Zbl 1216.68326) Full Text: DOI
Ronse, Christian Adjunctions on the lattices of partitions and of partial partitions. (English) Zbl 1208.06003 Appl. Algebra Eng. Commun. Comput. 21, No. 5, 343-396 (2010). MSC: 06B99 06A15 68U10 PDFBibTeX XMLCite \textit{C. Ronse}, Appl. Algebra Eng. Commun. Comput. 21, No. 5, 343--396 (2010; Zbl 1208.06003) Full Text: DOI HAL
Valle, Marcos Eduardo; Sussner, Peter A general framework for fuzzy morphological associative memories. (English) Zbl 1191.68537 Fuzzy Sets Syst. 159, No. 7, 747-768 (2008). MSC: 68T05 06B23 68U10 PDFBibTeX XMLCite \textit{M. E. Valle} and \textit{P. Sussner}, Fuzzy Sets Syst. 159, No. 7, 747--768 (2008; Zbl 1191.68537) Full Text: DOI
Sussner, Peter; Valle, Marcos Eduardo Classification of fuzzy mathematical morphologies based on concepts of inclusion measure and duality. (English) Zbl 1523.68165 J. Math. Imaging Vis. 32, No. 2, 139-159 (2008). MSC: 68U10 06B23 06B30 PDFBibTeX XMLCite \textit{P. Sussner} and \textit{M. E. Valle}, J. Math. Imaging Vis. 32, No. 2, 139--159 (2008; Zbl 1523.68165) Full Text: DOI
Ronse, Christian Partial partitions, partial connections and connective segmentation. (English) Zbl 1523.68159 J. Math. Imaging Vis. 32, No. 2, 97-125 (2008). MSC: 68U10 06B23 06B30 PDFBibTeX XMLCite \textit{C. Ronse}, J. Math. Imaging Vis. 32, No. 2, 97--125 (2008; Zbl 1523.68159) Full Text: DOI
Caselles, Vicent; Meinhardt, Enric; Monasse, Pascal Constructing the tree of shapes of an image by fusion of the trees of connected components of upper and lower level sets. (English) Zbl 1135.68609 Positivity 12, No. 1, 55-73 (2008). MSC: 68U10 68T10 06B23 PDFBibTeX XMLCite \textit{V. Caselles} et al., Positivity 12, No. 1, 55--73 (2008; Zbl 1135.68609) Full Text: DOI
Alcalde, C.; Burusco, A.; Fuentes-González, R. Ambiguity and fuzziness measures defined on the set of closed intervals in [0, 1]. (English) Zbl 1117.03057 Inf. Sci. 177, No. 7, 1687-1698 (2007). MSC: 03E72 06D72 PDFBibTeX XMLCite \textit{C. Alcalde} et al., Inf. Sci. 177, No. 7, 1687--1698 (2007; Zbl 1117.03057) Full Text: DOI
Ronse, Christian Flat morphology on power lattices. (English) Zbl 1478.68431 J. Math. Imaging Vis. 26, No. 1-2, 185-216 (2006). MSC: 68U10 06B23 06D10 68U05 PDFBibTeX XMLCite \textit{C. Ronse}, J. Math. Imaging Vis. 26, No. 1--2, 185--216 (2006; Zbl 1478.68431) Full Text: DOI
Daragon, Xavier; Couprie, Michel; Bertrand, Gilles Derived neighborhoods and frontier orders. (English) Zbl 1478.94024 J. Math. Imaging Vis. 23, No. 3, 379-399 (2005). MSC: 94A08 68U10 06A06 54H99 PDFBibTeX XMLCite \textit{X. Daragon} et al., J. Math. Imaging Vis. 23, No. 3, 379--399 (2005; Zbl 1478.94024) Full Text: DOI
Maragos, Petros Lattice image processing: a unification of morphological and fuzzy algebraic systems. (English) Zbl 1478.94066 J. Math. Imaging Vis. 22, No. 2-3, 333-353 (2005). MSC: 94A08 68U10 03B52 06A06 PDFBibTeX XMLCite \textit{P. Maragos}, J. Math. Imaging Vis. 22, No. 2--3, 333--353 (2005; Zbl 1478.94066) Full Text: DOI
Keshet, Renato Shape-tree semilattice. (English) Zbl 1478.94054 J. Math. Imaging Vis. 22, No. 2-3, 309-331 (2005). MSC: 94A08 68U10 06A12 PDFBibTeX XMLCite \textit{R. Keshet}, J. Math. Imaging Vis. 22, No. 2--3, 309--331 (2005; Zbl 1478.94054) Full Text: DOI
Serra, Jean Viscous lattices. (English) Zbl 1478.94081 J. Math. Imaging Vis. 22, No. 2-3, 269-282 (2005). MSC: 94A08 68U10 06E99 62H35 PDFBibTeX XMLCite \textit{J. Serra}, J. Math. Imaging Vis. 22, No. 2--3, 269--282 (2005; Zbl 1478.94081) Full Text: DOI
Daragon, Xavier; Couprie, Michel; Bertrand, Gilles Derived neighborhoods and frontier orders. (English) Zbl 1061.68165 Discrete Appl. Math. 147, No. 2-3, 227-243 (2005). MSC: 68U05 06A11 52C07 PDFBibTeX XMLCite \textit{X. Daragon} et al., Discrete Appl. Math. 147, No. 2--3, 227--243 (2005; Zbl 1061.68165) Full Text: DOI
Mattioli, Juliette; Doyen, Luc; Najman, Laurent Lattice operators underlying dynamic systems. (English) Zbl 0854.06006 Set-Valued Anal. 4, No. 2, 119-134 (1996). Reviewer: B.F.Šmarda (Brno) MSC: 06B23 93A10 34A60 68U10 93C15 PDFBibTeX XMLCite \textit{J. Mattioli} et al., Set-Valued Anal. 4, No. 2, 119--134 (1996; Zbl 0854.06006) Full Text: DOI