On functions derived from fuzzy implications

Przemysław Grzegorzewski

Abstract

Recently, 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.
Author Przemysław Grzegorzewski (FMIS / DIE) - [Systems Research Institute (IBS PAN) [Polish Academy of Sciences (PAN)]]
Przemysław Grzegorzewski,,
- Department of Integral Equations
- Instytucie Badań Systemowych
Pages423-434
Publication size in sheets0.55
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 EnglishCopula, Fuzzy implication, Probabilistic implication, Spearman’s rho, Diagonal section, Quasi-copula, Semi-copula
ASJC Classification2600 General Mathematics; 1700 General Computer Science
DOIDOI:10.1007/978-3-319-40596-4_36
URL https://link.springer.com/chapter/10.1007/978-3-319-40596-4_36
Languageen angielski
Score (nominal)15
Score sourceconferenceIndex
ScoreMinisterial score = 15.0, 10-01-2020, BookChapterSeriesAndMatConfByConferenceseries
Ministerial score (2013-2016) = 15.0, 10-01-2020, BookChapterSeriesAndMatConfByConferenceseries
Publication indicators Scopus Citations = 1; WoS Citations = 1; Scopus SNIP (Source Normalised Impact per Paper): 2016 = 0.371
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