Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
393810 | Information Sciences | 2011 | 17 Pages |
Abstract
A new class of fuzzy implications called the h-implications is introduced. They are implications generated from an additive generator of a representable uninorm in a similar way of Yager’s f- and g-implications which are generated from additive generators of continuous Archimedean t-norms and t-conorms. Basic properties of these implications are studied in detail. Modifications and generalizations of the initial definition are presented and their properties studied and compared between them. One of the modifications, called (h, e)-implications, is another example of a fuzzy implication 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].
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Sebastia Massanet, Joan Torrens,