A new type of subsemigroups and ideals of semigroups in the framework of hesitant fuzzy set theory

Young Bae Jun, Hee Sik Kim, Seok Zun Song

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The notions of Inf-hesitant fuzzy subsemigroups, Inf-hesitant fuzzy left (right) ideals and Inf-hesitant fuzzy quasi-ideals in semigroups are introduced, and their relations and properties are investigated. Characterizations of an Inf-hesitant fuzzy subsemigroup and an Inf-hesitant fuzzy left (right) ideal are discussed. Characterizations of a quasi-ideal and a regular semigroup are considered.

Original languageEnglish
Pages (from-to)67-81
Number of pages15
JournalJournal of Multiple-Valued Logic and Soft Computing
Volume29
Issue number1-2
StatePublished - 2017 Jan 1

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Fuzzy set theory
Fuzzy Set Theory
Semigroup
Regular Semigroup
Framework

Keywords

  • Inf-hesitant fuzzy left (right) ideal
  • Inf-hesitant fuzzy quasi-ideal
  • Inf-hesitant fuzzy subsemigroup

Cite this

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A new type of subsemigroups and ideals of semigroups in the framework of hesitant fuzzy set theory. / Jun, Young Bae; Kim, Hee Sik; Song, Seok Zun.

In: Journal of Multiple-Valued Logic and Soft Computing, Vol. 29, No. 1-2, 01.01.2017, p. 67-81.

Research output: Contribution to journalArticle

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N2 - The notions of Inf-hesitant fuzzy subsemigroups, Inf-hesitant fuzzy left (right) ideals and Inf-hesitant fuzzy quasi-ideals in semigroups are introduced, and their relations and properties are investigated. Characterizations of an Inf-hesitant fuzzy subsemigroup and an Inf-hesitant fuzzy left (right) ideal are discussed. Characterizations of a quasi-ideal and a regular semigroup are considered.

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KW - Inf-hesitant fuzzy quasi-ideal

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