Some properties of fuzzy implications based on copulas
| Autor: | Wanda Niemyska, Piotr Helbin, Michał Baczyński, Przemysław Grzegorzewski |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Mathematical optimization
Information Systems and Management Computer science 05 social sciences Probabilistic logic 050301 education 02 engineering and technology Fuzzy logic Bridge (interpersonal) Computer Science Applications Theoretical Computer Science Probability theory Artificial Intelligence Control and Systems Engineering 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing 0503 education Software |
| Zdroj: | Information Sciences. 502:1-17 |
| ISSN: | 0020-0255 |
| DOI: | 10.1016/j.ins.2019.06.019 |
| Popis: | In 2011 Grzegorzewski introduced two new families of fuzzy implication functions called probabilistic implications and probabilistic S-implications. They are based on copulas and make a bridge between probability theory and fuzzy logic. Another family of fuzzy conditional implication operators was proposed by Dolati et al. in 2013. In this paper we consider some properties of these three classes of fuzzy implications like the law of contrapositions and the law of importation. Moreover, we examine intersections of these families of implications with R-implications, ( S, N)-implications, QL-operations and Yager’s f- and g-generated implications. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect