• Title/Summary/Keyword: Pythagorean fuzzy ideal

Search Result 2, Processing Time 0.016 seconds

REGULARITY OF SEMIGROUPS IN TERMS OF PYTHAGOREAN FUZZY BI-IDEALS

  • WARUD NAKKHASEN
    • Journal of applied mathematics & informatics
    • /
    • v.42 no.2
    • /
    • pp.333-351
    • /
    • 2024
  • In this paper, the concept of Pythagorean fuzzy sets are used to describe in semigroups. Then, some characterizations of regular (resp., intra-regular) semigroups by means of Pythagorean fuzzy left (resp., right) ideals and Pythagorean fuzzy (resp., generalized) bi-ideals of semigroups are investigated. Furthermore, the class of both regular and intra-regular semigroups by the properties of many kinds of their Pythagorean fuzzy ideals also being studied.

(inf,sup)-HESITANT FUZZY BI-IDEALS OF SEMIGROUPS

  • PONGPUN JULATHA;AIYARED IAMPAN
    • Journal of applied mathematics & informatics
    • /
    • v.41 no.2
    • /
    • pp.413-437
    • /
    • 2023
  • 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.