Fuzzy Implications Generated by h-Generators
| Autor: | Guiying Fang, Aifang Xie |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Discrete mathematics
0209 industrial biotechnology Distributivity 02 engineering and technology Fuzzy logic Combinatorics 020901 industrial engineering & automation Artificial Intelligence Control and Systems Engineering 0202 electrical engineering electronic engineering information engineering Order (group theory) 020201 artificial intelligence & image processing Law of importation Software Locard's exchange principle Information Systems Mathematics |
| Zdroj: | International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems. 25:929-945 |
| ISSN: | 1793-6411 0218-4885 |
| DOI: | 10.1142/s0218488517500404 |
| Popis: | In this work, by using h-generators, we introduce a new class of fuzzy implications, which are called (h, c)-generated implications. Some properties of (h, c)-implications are studied, including left neutrality, order property, exchange principle, law of contraposition, law of importation and distributivity over t-norms or t-conorms. We also discuss the intersections of both (h; c)-generated implications with R-, (S,N)-, QL-, f-, g- and h-implications and prove that (h, c)-generated implications are different from the ones above. In addition, we define (h, a, b, c)-implications by generalizing (h, c)-generated implications and obtain their properties similarly. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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