Neres, Fernando; Santiago, Regivan H. N.; Roldán López de Hierro, Antonio Francisco; Cruz, Anderson; Takáč, Zdenko; Fernández, Javier; Bustince, Humberto The alpha-ordering for a wide class of fuzzy sets of the real line: the particular case of fuzzy numbers. (English) Zbl 07784433 Comput. Appl. Math. 43, No. 1, Paper No. 12, 30 p. (2024). MSC: 03E72 08A72 26E50 PDFBibTeX XMLCite \textit{F. Neres} et al., Comput. Appl. Math. 43, No. 1, Paper No. 12, 30 p. (2024; Zbl 07784433) Full Text: DOI
Fumanal-Idocin, J.; Takáč, Z.; Horanská, Ľ.; da Cruz Asmus, T.; Dimuro, G.; Vidaurre, C.; Fernandez, J.; Bustince, H. A generalization of the Sugeno integral to aggregate interval-valued data: an application to brain computer interface and social network analysis. (English) Zbl 1522.28022 Fuzzy Sets Syst. 451, 320-341 (2022). MSC: 28E10 68T05 91D30 92C55 PDFBibTeX XMLCite \textit{J. Fumanal-Idocin} et al., Fuzzy Sets Syst. 451, 320--341 (2022; Zbl 1522.28022) Full Text: DOI
Lima, Lucélia; Bedregal, Benjamin; Rocha, Marcus; Castillo-Lopez, Aitor; Fernandez, Javier; Bustince, Humberto On some classes of nullnorms and \(h\)-pseudo homogeneity. (English) Zbl 1522.03266 Fuzzy Sets Syst. 427, 23-36 (2022). MSC: 03E72 PDFBibTeX XMLCite \textit{L. Lima} et al., Fuzzy Sets Syst. 427, 23--36 (2022; Zbl 1522.03266) Full Text: DOI
Marco-Detchart, C.; Bustince, H.; Fernandez, J.; Mesiar, R.; Lafuente, J.; Barrenechea, E.; Pintor, J. M. Ordered directional monotonicity in the construction of edge detectors. (English) Zbl 1522.94010 Fuzzy Sets Syst. 421, 111-132 (2021). MSC: 94A08 PDFBibTeX XMLCite \textit{C. Marco-Detchart} et al., Fuzzy Sets Syst. 421, 111--132 (2021; Zbl 1522.94010) Full Text: DOI
Bustince, Humberto; Mesiar, Radko; Dimuro, Graçaliz; Fernandez, Javier; Bedregal, Benjamín The evolution of the notion of overlap functions. (English) Zbl 1485.03224 Lesot, Marie-Jeanne (ed.) et al., Fuzzy approaches for soft computing and approximate reasoning: theories and applications. Cham: Springer. Stud. Fuzziness Soft Comput. 394, 21-29 (2021). MSC: 03E72 03-03 68T37 PDFBibTeX XMLCite \textit{H. Bustince} et al., Stud. Fuzziness Soft Comput. 394, 21--29 (2021; Zbl 1485.03224) Full Text: DOI
Roldán López de Hierro, Antonio Francisco; Roldán, Concepción; Bustince, Humberto; Fernández, Javier; Rodriguez, Iosu; Fardoun, Habib; Lafuente, Julio Affine construction methodology of aggregation functions. (English) Zbl 1467.91037 Fuzzy Sets Syst. 414, 146-164 (2021). MSC: 91B06 PDFBibTeX XMLCite \textit{A. F. Roldán López de Hierro} et al., Fuzzy Sets Syst. 414, 146--164 (2021; Zbl 1467.91037) Full Text: DOI
Bustince, H.; Mesiar, R.; Fernandez, J.; Galar, M.; Paternain, D.; Altalhi, A.; Dimuro, G. P.; Bedregal, B.; Takáč, Z. \(d\)-Choquet integrals: Choquet integrals based on dissimilarities. (English) Zbl 1467.28013 Fuzzy Sets Syst. 414, 1-27 (2021). MSC: 28E10 PDFBibTeX XMLCite \textit{H. Bustince} et al., Fuzzy Sets Syst. 414, 1--27 (2021; Zbl 1467.28013) Full Text: DOI
Horanská, L’ubomíra; Bustince, Humberto; Fernandez, Javier; Mesiar, Radko Generalized decomposition integral. (English) Zbl 1483.28014 Inf. Sci. 538, 415-427 (2020). MSC: 28E10 PDFBibTeX XMLCite \textit{L. Horanská} et al., Inf. Sci. 538, 415--427 (2020; Zbl 1483.28014) Full Text: DOI
Bustince, H.; Mesiar, R.; Kolesárová, A.; Dimuro, G. P.; Fernandez, J.; Diaz, I.; Montes, S. On some classes of directionally monotone functions. (English) Zbl 1465.26022 Fuzzy Sets Syst. 386, 161-178 (2020). MSC: 26E50 26A48 PDFBibTeX XMLCite \textit{H. Bustince} et al., Fuzzy Sets Syst. 386, 161--178 (2020; Zbl 1465.26022) Full Text: DOI
Bustince, H.; Marco-Detchart, C.; Fernandez, J.; Wagner, C.; Garibaldi, J. M.; Takáč, Z. Similarity between interval-valued fuzzy sets taking into account the width of the intervals and admissible orders. (English) Zbl 1452.03108 Fuzzy Sets Syst. 390, 23-47 (2020). MSC: 03E72 PDFBibTeX XMLCite \textit{H. Bustince} et al., Fuzzy Sets Syst. 390, 23--47 (2020; Zbl 1452.03108) Full Text: DOI Link
Špirková, Jana; Beliakov, Gleb; Bustince, Humberto; Fernandez, Javier Mixture functions and their monotonicity. (English) Zbl 1446.28012 Inf. Sci. 481, 520-549 (2019). MSC: 28E10 26B40 PDFBibTeX XMLCite \textit{J. Špirková} et al., Inf. Sci. 481, 520--549 (2019; Zbl 1446.28012) Full Text: DOI Link
Dimuro, Graçaliz Pereira; Bedregal, Benjamín; Fernandez, Javier; Sesma-Sara, Mikel; Pintor, Jesús M.; Bustince, Humberto The law of \(O\)-conditionality for fuzzy implications constructed from overlap and grouping functions. (English) Zbl 1432.03039 Int. J. Approx. Reasoning 105, 27-48 (2019). MSC: 03B52 68T37 PDFBibTeX XMLCite \textit{G. P. Dimuro} et al., Int. J. Approx. Reasoning 105, 27--48 (2019; Zbl 1432.03039) Full Text: DOI
Takáč, Zdenko; Minárová, Mária; Montero, Javier; Barrenechea, Edurne; Fernandez, Javier; Bustince, Humberto Interval-valued fuzzy strong S-subsethood measures, interval-entropy and P-interval-entropy. (English) Zbl 1465.94037 Inf. Sci. 432, 97-115 (2018). MSC: 94A17 94D05 PDFBibTeX XMLCite \textit{Z. Takáč} et al., Inf. Sci. 432, 97--115 (2018; Zbl 1465.94037) Full Text: DOI
Bustince, Humberto; Barrenechea, Edurne; Pagola, Miguel; Fernandez, Javier The notions of overlap and grouping functions. (English) Zbl 1429.03161 Saminger-Platz, Susanne (ed.) et al., On logical, algebraic, and probabilistic aspects of fuzzy set theory. Cham: Springer. Stud. Fuzziness Soft Comput. 336, 137-156 (2018). MSC: 03E72 91B06 PDFBibTeX XMLCite \textit{H. Bustince} et al., Stud. Fuzziness Soft Comput. 336, 137--156 (2018; Zbl 1429.03161) Full Text: DOI
Roldán-López-de-Hierro, A. F.; Bustince, H.; Fernández, J.; Mesiar, R.; Roldán, C. Two novel methodologies for considering aggregation functions by implicit equations and minimization problems. (English) Zbl 1403.90662 Eur. J. Oper. Res. 270, No. 2, 670-681 (2018). MSC: 90C70 91B06 68M20 PDFBibTeX XMLCite \textit{A. F. Roldán-López-de-Hierro} et al., Eur. J. Oper. Res. 270, No. 2, 670--681 (2018; Zbl 1403.90662) Full Text: DOI
Mesiar, R.; Kolesárová, A.; Bustince, H.; Fernandez, J. Dualities in the class of extended Boolean functions. (English) Zbl 1380.06011 Fuzzy Sets Syst. 332, 78-92 (2018). MSC: 06E30 PDFBibTeX XMLCite \textit{R. Mesiar} et al., Fuzzy Sets Syst. 332, 78--92 (2018; Zbl 1380.06011) Full Text: DOI
Bedregal, Benjamin; Bustince, Humberto; Palmeira, Eduardo; Dimuro, Graçaliz; Fernandez, Javier Generalized interval-valued OWA operators with interval weights derived from interval-valued overlap functions. (English) Zbl 1419.68154 Int. J. Approx. Reasoning 90, 1-16 (2017). MSC: 68T37 03E72 PDFBibTeX XMLCite \textit{B. Bedregal} et al., Int. J. Approx. Reasoning 90, 1--16 (2017; Zbl 1419.68154) Full Text: DOI arXiv
Zapata, H.; Bustince, H.; Montes, S.; Bedregal, B.; Dimuro, G. P.; Takáč, Z.; Baczyński, M.; Fernandez, J. Interval-valued implications and interval-valued strong equality index with admissible orders. (English) Zbl 1422.03049 Int. J. Approx. Reasoning 88, 91-109 (2017). MSC: 03B52 PDFBibTeX XMLCite \textit{H. Zapata} et al., Int. J. Approx. Reasoning 88, 91--109 (2017; Zbl 1422.03049) Full Text: DOI
Lopez-Molina, Carlos; Marco-Detchart, Cedric; Fernandez, Javier; Cerron, Juan; Galar, Mikel; Bustince, Humberto Similarity measures for radial data. (English) Zbl 1452.68254 Carvalho, Joao Paulo (ed.) et al., Information processing and management of uncertainty in knowledge-based systems. 16th international conference, IPMU 2016, Eindhoven, The Netherlands, June 20–24, 2016. Proceedings. Part I. Cham: Springer. Commun. Comput. Inf. Sci. 610, 599-611 (2016). MSC: 68U10 68T10 PDFBibTeX XMLCite \textit{C. Lopez-Molina} et al., Commun. Comput. Inf. Sci. 610, 599--611 (2016; Zbl 1452.68254) Full Text: DOI
Lei, Qian; Xu, Zeshui; Bustince, Humberto; Fernandez, Javier Intuitionistic fuzzy integrals based on Archimedean t-conorms and t-norms. (English) Zbl 1390.68664 Inf. Sci. 327, 57-70 (2016). MSC: 68T37 28E10 PDFBibTeX XMLCite \textit{Q. Lei} et al., Inf. Sci. 327, 57--70 (2016; Zbl 1390.68664) Full Text: DOI
Paternain, D.; Fernandez, J.; Bustince, H.; Mesiar, R.; Beliakov, G. Construction of image reduction operators using averaging aggregation functions. (English) Zbl 1360.68881 Fuzzy Sets Syst. 261, 87-111 (2015). MSC: 68U10 PDFBibTeX XMLCite \textit{D. Paternain} et al., Fuzzy Sets Syst. 261, 87--111 (2015; Zbl 1360.68881) Full Text: DOI
Bustince, H.; Barrenechea, E.; Fernández, J.; Pagola, M.; Montero, J. Generation of interval-valued fuzzy negations from Trillas’ theorem. The case of interval type-2 fuzzy sets. (English) Zbl 1371.03076 Magdalena, Luis (ed.) et al., Enric Trillas: a passion for fuzzy sets. A collection of recent works on fuzzy logic. Cham: Springer (ISBN 978-3-319-16234-8/hbk; 978-3-319-16235-5/ebook). Studies in Fuzziness and Soft Computing 322, 93-108 (2015). Reviewer: Fu-Gui Shi (Beijing) MSC: 03E72 PDFBibTeX XMLCite \textit{H. Bustince} et al., Stud. Fuzziness Soft Comput. 322, 93--108 (2015; Zbl 1371.03076) Full Text: DOI
Palmeira, Eduardo S.; Bedregal, Benjamin R. C.; Fernandez, Javier; Jurio, Aranzazu On the extension of lattice-valued implications via retractions. (English) Zbl 1315.03039 Fuzzy Sets Syst. 240, 66-85 (2014). MSC: 03B52 PDFBibTeX XMLCite \textit{E. S. Palmeira} et al., Fuzzy Sets Syst. 240, 66--85 (2014; Zbl 1315.03039) Full Text: DOI
Palmeira, Eduardo; Bedregal, Benjamin; Mesiar, Radko; Fernandez, Javier A new way to extend t-norms, t-conorms and negations. (English) Zbl 1315.03098 Fuzzy Sets Syst. 240, 1-21 (2014). MSC: 03E72 03B52 PDFBibTeX XMLCite \textit{E. Palmeira} et al., Fuzzy Sets Syst. 240, 1--21 (2014; Zbl 1315.03098) Full Text: DOI
Pagola, Miguel; Barrenechea, Edurne; Fernández, Javier; Jurio, Aranzazu; Galar, Mikel; Sanz, Jose Antonio; Paternain, Daniel; Lopez-Molina, Carlos; Cerrón, Juan; Bustince, Humberto Construction of interval type-2 fuzzy sets from fuzzy sets: methods and applications. (English) Zbl 1360.03086 Sadeghian, Alireza (ed.) et al., Advances in type-2 fuzzy sets and systems. Theory and applications. New York, NY: Springer (ISBN 978-1-4614-6665-9/hbk; 978-1-4614-6666-6/ebook). Studies in Fuzziness and Soft Computing 301, 147-163 (2013). MSC: 03E72 68T37 91B06 68U10 PDFBibTeX XMLCite \textit{M. Pagola} et al., Stud. Fuzziness Soft Comput. 301, 147--163 (2013; Zbl 1360.03086) Full Text: DOI
Barrenechea, Edurne; Bustince, Humberto; Fernandez, Javier; Paternain, Daniel; Sanz, José Antonio Using the Choquet integral in the fuzzy reasoning method of fuzzy rule-based classification systems. (English) Zbl 1442.68229 Axioms 2, No. 2, 208-223 (2013). MSC: 68T37 28E10 68T05 68T20 PDFBibTeX XMLCite \textit{E. Barrenechea} et al., Axioms 2, No. 2, 208--223 (2013; Zbl 1442.68229) Full Text: DOI
Bedregal, Benjamín; Beliakov, Gleb; Bustince, Humberto; Fernández, Javier; Pradera, Ana; Reiser, Renata (\(S,N\))-implications on bounded lattices. (English) Zbl 1307.03015 Baczyński, Michał (ed.) et al., Advances in fuzzy implication functions. Berlin: Springer (ISBN 978-3-642-35676-6/hbk; 978-3-642-35677-3/ebook). Studies in Fuzziness and Soft Computing 300, 101-124 (2013). Reviewer: Lidong Wang (Dalian) MSC: 03B52 PDFBibTeX XMLCite \textit{B. Bedregal} et al., Stud. Fuzziness Soft Comput. 300, 101--124 (2013; Zbl 1307.03015) Full Text: DOI
Bustince, H.; Fernandez, J.; Kolesárová, A.; Mesiar, R. Generation of linear orders for intervals by means of aggregation functions. (English) Zbl 1284.03242 Fuzzy Sets Syst. 220, 69-77 (2013). MSC: 03E72 06A05 PDFBibTeX XMLCite \textit{H. Bustince} et al., Fuzzy Sets Syst. 220, 69--77 (2013; Zbl 1284.03242) Full Text: DOI
Bustince, H.; De Baets, B.; Fernandez, J.; Mesiar, R.; Montero, J. A generalization of the migrativity property of aggregation functions. (English) Zbl 1248.62003 Inf. Sci. 191, 76-85 (2012). MSC: 62A99 62H99 PDFBibTeX XMLCite \textit{H. Bustince} et al., Inf. Sci. 191, 76--85 (2012; Zbl 1248.62003) Full Text: DOI
Beliakov, Gleb; Bustince, Humberto; Fernandez, Javier The median and its extensions. (English) Zbl 1217.62012 Fuzzy Sets Syst. 175, No. 1, 36-47 (2011). MSC: 62E10 62E99 PDFBibTeX XMLCite \textit{G. Beliakov} et al., Fuzzy Sets Syst. 175, No. 1, 36--47 (2011; Zbl 1217.62012) Full Text: DOI
Bedregal, Benjamin; Bustince, Humberto; Fernandez, Javier; Deschrijver, Glad; Mesiar, Radko Atanassov’s intuitionistic contractive fuzzy negations. (English) Zbl 1207.03060 Hüllermeier, Eyke (ed.) et al., Information processing and management of uncertainty in knowledge-based systems. Theory and methods. 13th international conference, IPMU 2010, Dortmund, Germany, June 28–July 2, 2010. Proceedings. Part I. Berlin: Springer (ISBN 978-3-642-14054-9/pbk; 978-3-642-14055-6/ebook). Communications in Computer and Information Science 80, 591-600 (2010). MSC: 03E72 PDFBibTeX XMLCite \textit{B. Bedregal} et al., Commun. Comput. Inf. Sci. 80, 591--600 (2010; Zbl 1207.03060) Full Text: DOI
Bustince, H.; Barrenechea, E.; Pagola, M.; Fernandez, J.; Sanz, J. Comment on: “Image thresholding using type II fuzzy sets”. Importance of this method. (English) Zbl 1205.68335 Pattern Recognition 43, No. 9, 3188-3192 (2010). MSC: 68T10 PDFBibTeX XMLCite \textit{H. Bustince} et al., Pattern Recognition 43, No. 9, 3188--3192 (2010; Zbl 1205.68335) Full Text: DOI
Lopez-Molina, C.; Bustince, H.; Fernandez, J.; Couto, P.; De Baets, B. A gravitational approach to edge detection based on triangular norms. (English) Zbl 1205.68345 Pattern Recognition 43, No. 11, 3730-3741 (2010). MSC: 68T10 68U10 PDFBibTeX XMLCite \textit{C. Lopez-Molina} et al., Pattern Recognition 43, No. 11, 3730--3741 (2010; Zbl 1205.68345) Full Text: DOI
Barrenechea, Edurne; Bustince, Humberto; Pagola, Miguel; Fernandez, Javier Construction of interval-valued fuzzy entropy invariant by translations and scalings. (English) Zbl 1193.94090 Soft Comput. 14, No. 9, 945-952 (2010). MSC: 94D05 94A17 PDFBibTeX XMLCite \textit{E. Barrenechea} et al., Soft Comput. 14, No. 9, 945--952 (2010; Zbl 1193.94090) Full Text: DOI
Mesiar, R.; Bustince, H.; Fernandez, J. On the \(\alpha \)-migrativity of semicopulas, quasi-copulas, and copulas. (English) Zbl 1191.62096 Inf. Sci. 180, No. 10, 1967-1976 (2010). MSC: 62H05 PDFBibTeX XMLCite \textit{R. Mesiar} et al., Inf. Sci. 180, No. 10, 1967--1976 (2010; Zbl 1191.62096) Full Text: DOI
Bustince, H.; Barrenechea, E.; Fernandez, J.; Pagola, M.; Montero, J.; Guerra, C. Contrast of a fuzzy relation. (English) Zbl 1187.68380 Inf. Sci. 180, No. 8, 1326-1344 (2010). MSC: 68T05 68U10 PDFBibTeX XMLCite \textit{H. Bustince} et al., Inf. Sci. 180, No. 8, 1326--1344 (2010; Zbl 1187.68380) Full Text: DOI
Bustince, H.; Fernandez, J.; Mesiar, R.; Montero, J.; Orduna, R. Overlap functions. (English) Zbl 1182.26076 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 3-4, 1488-1499 (2010). MSC: 26E50 PDFBibTeX XMLCite \textit{H. Bustince} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 3--4, 1488--1499 (2010; Zbl 1182.26076) Full Text: DOI
Bustince, H.; Barrenechea, E.; Pagola, M.; Fernandez, J. Interval-valued fuzzy sets constructed from matrices: application to edge detection. (English) Zbl 1182.68191 Fuzzy Sets Syst. 160, No. 13, 1819-1840 (2009). MSC: 68T10 68U10 PDFBibTeX XMLCite \textit{H. Bustince} et al., Fuzzy Sets Syst. 160, No. 13, 1819--1840 (2009; Zbl 1182.68191) Full Text: DOI