Folding Theory Applied to Fuzzy (Positive) Implicative (Pre)filters in EQ-Algebras
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Authors: A. PAAD AND A. JAFARI
DOI: 10.46793/KgJMat2405.767P
Abstract:
In this paper, the concepts of fuzzy n-fold positive implicative and fuzzy n-fold implicative (pre)filters in EQ-algebras are introduced and several properties of them are provided. Moreover, the relationship between fuzzy n-fold positive implicative (pre)filter and fuzzy n-fold implicative (pre)filter is considered. Using the level subset of a fuzzy set in EQ-algebras, some characterizations of fuzzy n-fold (positive) implicative (pre)filters in EQ-algebras are given. Also, we investigate under what conditions the fuzzy n-fold positive implicative (pre)filter is a fuzzy n-fold implicative (pre)filter in EQ-algebras.
Keywords:
EQ-Algebra, fuzzy n-fold positive implicative (pre)filter, fuzzy n-fold implicative (pre)filter.
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