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

Author

Listed:
  • 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
    Research Center for Academic Excellence in Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand)

Abstract

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

Suggested Citation

  • Pannawit Khamrot & Manoj Siripitukdet, 2017. "Some Types of Subsemigroups Characterized in Terms of Inequalities of Generalized Bipolar Fuzzy Subsemigroups," Mathematics, MDPI, vol. 5(4), pages 1-14, November.
    • Handle: RePEc:gam:jmathe:v:5:y:2017:i:4:p:71-:d:120495
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