Name
Abstract | ||
|---|---|---|
A residuated implication operator (R-implications) is a fuzzy material implication operator defined in terms of its corresponding T-norm. This paper is concerned with a family of R-implications derived from the Schweizer-Sklar family of parameterized T-norms. Analysis of fuzzy and defuzzified outputs from two- and three-rule systems includes proper and improper fuzzy set outputs and exact defuzzified solutions for important special cases such as Gödel-Brouwer, Goguen, and Lukasiewicz implications.A rule can be characterized as strong or weak in its interaction with a neighboring rule. If two rules both interact with one another weakly, there exists a range of y values all of which are 100% compatible with both rules given any x in their domain of interaction. The paper concludes with a discussion of the joint effect of the strength of rule interaction and the value of the Sehweizer-Sklar parameter. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1016/S0165-0114(02)00215-4 | Fuzzy Sets and Systems |
Keywords | Field | DocType |
rule interaction,parameterized r-implications,residuated implication operator,exact defuzzified solution,schweizer-sklar family,defuzzified output,fuzzy material implication operator,improper fuzzy set output,residuated,implication,lukasiewicz implication,parameterized,sehweizer-sklar parameter,improper membership,defuzzification,neighboring rule,fuzzy set | Discrete mathematics,Parameterized complexity,Defuzzification,Existential quantification,Parametrization,Fuzzy logic,Fuzzy set,Operator (computer programming),Material implication,Mathematics | Journal |
Volume | Issue | ISSN |
134 | 2 | Fuzzy Sets and Systems |
Citations | PageRank | References |
7 | 0.66 | 10 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Thomas Whalen | 1 | 115 | 32.39 |