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International Journal of Algebra and Statistics
Article . 2012 . Peer-reviewed
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International Journal of Algebra
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Generalized Fuzzy Quasi-Ideals in Ordered Semigroups

descriptionPublicationkeyboard_double_arrow_right Article 30 Jul 2012Publisher:Modern Science PublishersJournal:International Journal of Algebra and Statistics, volume 1, page 33 (issn: 2314-4548, eissn: 2314-4556, Copyright policy )
Authors: Raheela Manzoor; Asghar Khan;

doi: 10.20454/ijas.2012.424

Generalized Fuzzy Quasi-Ideals in Ordered Semigroups

Abstract

In this paper, we introduce the concept of an (; )-fuzzy quasiideal in ordered semigroups, which is a generalization of fuzzy quasi-ideals in ordered semigroups. By using this concept, we de�ne semiprime (2; 2 _q)-fuzzy quasi-ideals and some basic results of an ordered semigroup are discussed. The upper/lower parts of (2; 2 _q)-fuzzy quasi-ideals are introduced and some characterizations of regular ordered semigroups are given. Also, we consider the concept of implication-based fuzzy quasi-ideals in an ordered semigroup, in particular, the implication operators in Lukasiewicz system of continuous-valued logic are discussed.

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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