Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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(inf,sup)-HESITANT FUZZY BI-IDEALS OF SEMIGROUPS

  • PONGPUN JULATHA (Faculty of Science and Technology, Pibulsongkram Rajabhat University) ;
  • AIYARED IAMPAN (Fuzzy Algebras and Decision-Making Problems Research Unit, Department of Mathematics, School of Science, University of Phayao)
  • Received : 2022.09.15
  • Accepted : 2022.10.28
  • Published : 2023.03.30
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Abstract

In this paper, we introduce the concepts of (inf, sup)-hesitant fuzzy subsemigroups and (inf, sup)-hesitant fuzzy (generalized) bi-ideals of semigroups, and investigate their properties. The concepts are established in terms of sets, fuzzy sets, negative fuzzy sets, interval-valued fuzzy sets, Pythagorean fuzzy sets, hesitant fuzzy sets, and bipolar fuzzy sets. Moreover, some characterizations of bi-ideals, fuzzy bi-ideals, anti-fuzzy bi-ideals, negative fuzzy bi-ideals, Pythagorean fuzzy bi-ideals, and bipolar fuzzy bi-ideals of semigroups are given in terms of the (inf, sup)-type of hesitant fuzzy sets. Also, we characterize a semigroup which is completely regular, a group and a semilattice of groups by (inf, sup)-hesitant fuzzy bi-ideals.

Keywords

Acknowledgement

This research project was supported by the Thailand Science Research and Innovation Fund and the University of Phayao (Grant No. FF66-RIM032).

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