Fuzzy n-fold integral ideals in BL-algebras

Paad, Akbar

doi:10.1109/cfis.2015.7391670

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2024

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“…From a logical point of view, various filters correspond to various sets of provable formulas. Up to now, some types of (fuzzy) filters on ordered algebras based logical algebras have been widely studied [2,4,5,10] and some important results have been obtained. Fuzzy algebra is an important branch of fuzzy mathematics and Rosenfeld [12] started the study of fuzzy algebraic structures with the introduction of the concept of fuzzy sub-groups in 1971.…”

Section: Introductionmentioning

confidence: 99%

Folding Theory Applied to Fuzzy (Positive) Implicative (Pre)filters in EQ-Algebras

PAAD,

JAFARI

2024

KgJMat

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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.

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