Folding Theory Applied to Fuzzy (Positive) Implicative (Pre)filters in EQ-Algebras
Kragujevac Journal of Mathematics, Tome 48 (2024) no. 5, p. 767
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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.
Classification :
06D33, 06E99, 03G25
Keywords: EQ-algebra, fuzzy n-fold positive implicative (pre)filter, fuzzy n-fold implicative (pre)filter
Keywords: EQ-algebra, fuzzy n-fold positive implicative (pre)filter, fuzzy n-fold implicative (pre)filter
@article{KJM_2024_48_5_a8,
author = {AKbar Paad and Azam Jafari},
title = {Folding {Theory} {Applied} to {Fuzzy} {(Positive)} {Implicative} {(Pre)filters} in {EQ-Algebras}},
journal = {Kragujevac Journal of Mathematics},
pages = {767 },
year = {2024},
volume = {48},
number = {5},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2024_48_5_a8/}
}
AKbar Paad; Azam Jafari. Folding Theory Applied to Fuzzy (Positive) Implicative (Pre)filters in EQ-Algebras. Kragujevac Journal of Mathematics, Tome 48 (2024) no. 5, p. 767 . http://geodesic.mathdoc.fr/item/KJM_2024_48_5_a8/