On functions derived from fuzzy implications
AbstractRecently, fuzzy implications based on copulas, i.e. probabilistic implications and probabilistic S-implications, were introduced and their properties were explored. However, the reverse problem of copulas derived from fuzzy implications, suggested by Massanet et al. [11,12], is also of interest. In the paper we consider geometric properties of those fuzzy implications that generate copulas. Moreover, we consider the reverse problem for some generalizations of copulas like quasi-copulas and semi-copulas.
|Publication size in sheets||0.55|
|Book||Carvalho Joao Paulo, Lesot Marie-Jeanne, Kaymak Uzay, Vieira Susana, Bouchon-Meunier Bernadette, Yager Ronald R. (eds.): Information Processing and Management of Uncertainty in Knowledge-Based Systems, Communications in Computer and Information Science, vol. 610, 2016, Springer, ISBN 978-3-319-40595-7|
|Keywords in English||Copula, Fuzzy implication, Probabilistic implication, Spearman’s rho, Diagonal section, Quasi-copula, Semi-copula|
|Score|| = 15.0, 10-01-2020, BookChapterSeriesAndMatConfByConferenceseries|
= 15.0, 10-01-2020, BookChapterSeriesAndMatConfByConferenceseries
|Publication indicators||= 1; = 1; : 2016 = 0.371|
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