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-Fuzzy Ideals in Ordered Semigroups

Asghar Khan, Young Bae Jun and Muhammad Shabir

International Journal of Mathematics and Mathematical Sciences, 2009, vol. 2009, 1-14

Abstract:

We introduce the concept of -fuzzy left (right) ideals in ordered semigroups and characterize ordered semigroups in terms of -fuzzy left (right) ideals. We characterize left regular (right regular) and left simple (right simple) ordered semigroups in terms of -fuzzy left ( -fuzzy right) ideals. The semilattice of left (right) simple semigroups in terms of -fuzzy left (right) ideals is discussed.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:814861

DOI: 10.1155/2009/814861

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