On a Generalization of Fuzzy Filters of Ordered Semigroups

dc.contributor.author	Al Tahan, Madeleine
dc.contributor.author	N. M. Khan
dc.contributor.author	ETAL..
dc.date.accessioned	2024-02-29T05:30:17Z
dc.date.available	2024-02-29T05:30:17Z
dc.date.issued	2023
dc.description.abstract	The aim of this paper is to generalize the results related to fuzzy filters of ordered semigroups. In this regard, the concept of fuzzy (m,n) -filters of ordered semigroups is initiated, nontrivial examples are presented, and its properties are investigated. It is known that a fuzzy set of an ordered semigroup is a fuzzy filter if and only its complement is a fuzzy prime ideal. As a generalization of the latter result, it is proved that a fuzzy set of an ordered semigroup is a fuzzy (m,n) -filter if and only if its complement is a prime generalized fuzzy (m,n)-ideal. Furthermore, it is shown that in an (m,n)-regular semigroup, fuzzy (m,n)-filters and fuzzy bi-filters coincide. Keywords: Ordered semigroupfuzzy (m,n), filtergeneralized fuzzy (m,n), idealfuzzy prime subset
dc.identifier.citation	Al Tahan, M., Davvaz, B., Mahboob, A., & Khan, N. M. (2023). On a Generalization of Fuzzy Filters of Ordered Semigroups. New Mathematics and Natural Computation, 1-14.
dc.identifier.doi	https://doi.org/10.1142/S1793005723500187
dc.identifier.uri	https://dspace.adu.ac.ae/handle/1/1503
dc.language.iso	en
dc.publisher	World Scientific
dc.title	On a Generalization of Fuzzy Filters of Ordered Semigroups
dc.type	Article

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