Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4945326 | International Journal of Approximate Reasoning | 2017 | 15 Pages |
Abstract
The modification (relaxation or intensification) of the antecedent or the consequent in a fuzzy “If, Then” conditional is an important asset for an expert in order to agree with it. The usual method to modify fuzzy propositions is the use of Zadeh's quantifiers based on powers of t-norms. However, the invariance of the truth value of the fuzzy conditional would be a desirable property when both the antecedent and the consequent are modified using the same quantifier. In this paper, a novel family of fuzzy implication functions based on powers of continuous t-norms which ensure the aforementioned property is presented. Other important additional properties are analyzed and from this study, it is proved that they do not intersect the most well-known classes of fuzzy implication functions.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Sebastia Massanet, Jordi Recasens, Joan Torrens,