- Tytuł:
- On some properties of (h,e)-implications. distributivities with t-norms and t-conorms.
- Autorzy:
-
Massanet, S.
Torrens, J. - Powiązania:
- https://bibliotekanauki.pl/articles/91656.pdf
- Data publikacji:
- 2012
- Wydawca:
- Społeczna Akademia Nauk w Łodzi. Polskie Towarzystwo Sieci Neuronowych
- Tematy:
-
(h, e)-implications
t-norm
t-conorm
fuzzy implications - Opis:
- In this paper some basic properties of (h, e)-implications are studied. This kind of implications has been recently introduced (see [29]). They are implications generated from an additive generator of a representable uninorm in a similar way of Yager’s f- and gimplications which are generated from additive generators of continuous Archimedean t-norms and t-conorms, respectively. In addition, they satisfy a classical property of some types of implications derived from uninorms that is I(e,y) = y for all y ∈ [0,1]. Moreover they are examples of fuzzy implications satisfying the exchange principle but not the law of importation for any t-norm, in fact for any function F : [0,1] 2 → [0,1]. On the other hand, the distributivities with conjunctions and disjunctions (t-norms and t-conorms) are also studied leading to new solutions of the corresponding functional equations. Finally, it is proved that they do not intersect with any of the most used classes of implications.
- Źródło:
-
Journal of Artificial Intelligence and Soft Computing Research; 2012, 2, 2; 109-123
2083-2567
2449-6499 - Pojawia się w:
- Journal of Artificial Intelligence and Soft Computing Research
- Dostawca treści:
- Biblioteka Nauki
Artykuł