Some Types of Subsemigroups Characterized in Terms of Inequalities of Generalized Bipolar Fuzzy Subsemigroups

Pannawit Khamrot and Manoj Siripitukdet
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Pannawit Khamrot: Departament of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand
Manoj Siripitukdet: Departament of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand

Mathematics, 2017, vol. 5, issue 4, 1-14

Abstract: In this paper, we introduce a generalization of a bipolar fuzzy (BF) subsemigroup, namely, a ( ? 1 , ? 2 ; ? 1 , ? 2 ) -BF subsemigroup. The notions of ( ? 1 , ? 2 ; ? 1 , ? 2 ) -BF quasi(generalized bi-, bi-) ideals are discussed. Some inequalities of ( ? 1 , ? 2 ; ? 1 , ? 2 ) -BF quasi(generalized bi-, bi-) ideals are obtained. Furthermore, any regular semigroup is characterized in terms of generalized BF semigroups.

Keywords: generalized bipolar fuzzy (BF) semigroup; ( ? 1 , ? 2; ? 1 , ? 2 )-bipolar fuzzy subsemigroup; fuzzy quasi(generalized bi-, bi-) ideal; regular semigroup (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2017
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