ON GENERALIZED INTERVAL VALUED FUZZY QUASI-IDEALS OF SEMIGROUPS

ON GENERALIZED INTERVAL VALUED FUZZY QUASI-IDEALS OF SEMIGROUPS

T. Gaketem, M. Siripitukdet

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Abstract

In this paper, we give the concepts of generalized interval valued fuzzy sub- semigroups, which are generalizations of the notion of interval valued fuzzy subsemi- groups and of ( ;  )-interval valued fuzzy subsemigroups, where      . Also we prove some of related properties of generalized interval valued fuzzy quasi-ideals on semigroups. In the main results, we characterize regular and intra-regular semigroups in terms of gen- eralized interval valued fuzzy ideal and quasi-ideals.

Keywords

Generalized interval valued fuzzy subsemigroup, intra-regular semigroup regular semigroup.