On the distributivity of T-power based implications

Document Type : Research Paper

Authors

College of Mathematics and Statistics, Yangtze Normal University, Chongqing, PR China

Abstract

Due to the fact that Zadeh's quantifiers constitute the usual method to modify fuzzy propositions, the so-called family of T-power based implications was proposed. In this paper,  the four basic distributive laws  related to T-power based fuzzy implications  and fuzzy logic operations (t-norms and t-conorms) are deeply studied. This study shows that two of the four distributive laws of the T-power based implications have a unique solution, while the other two have multiple solutions.

Keywords

References

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Iranian Journal of Fuzzy Systems
Volume 19, Issue 2
March and April 2022
Pages 169-186

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