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Characterizing ordered semigroups by means of intuitionistic fuzzy bi-ideals. (English) Zbl 1132.06304

Summary: We endow a set \(S\) with the structure of an ordered semigroup and define “intuitionistic fuzzy” analogues for several notions that have been proved to be useful in the theory of ordered semigroups and give some equivalent conditions of these definitions. Then we characterize the completely regular and the strongly regular ordered semigroups by means of intuitionistic fuzzy bi-ideals.

MSC:

06F05 Ordered semigroups and monoids
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