Description

• Title:
  An (α,β)-Hesitant Fuzzy Set Approach to Ideal Theory in Semigroups
• Creator:
  Yiarayong, Pairote
• Contributor:
  Pibulsongkram Rajabhat University, Department of Mathematics, Faculty of Science and Technology, Phitsanulok 65000, Thailand;
  pairote0027@hotmail.com
• Description:
  The aim of this manuscript is to introduce the \((\alpha,\beta)\)-hesitant fuzzy set and apply it to semigroups. In this paper, as a generalization of the concept of hesitant fuzzy sets to semigroup theory, the concept of \((\alpha,\beta)\)-hesitant fuzzy subsemigroups of semigroups is introduced, and related properties are discussed. Furthermore, we define and study \((\alpha,\beta)\)-hesitant fuzzy ideals on semigroups. In particular, we investigate the structure of \((\alpha,\beta)\)-hesitant fuzzy ideal generated by a hesitant fuzzy ideal in a semigroup. In addition, we also introduce the concepts of \((\alpha,\beta)\)-hesitant fuzzy semiprime sets of semigroups, and characterize regular semigroups in terms of \((\alpha,\beta)\)-hesitant fuzzy left ideals and \((\alpha,\beta)\)-hesitant fuzzy right ideals. Finally, several characterizations of regular and intra-regular semigroups by the properties of \((\alpha,\beta)\)-hesitant ideals are given.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nc-nd/4.0
• Date:
  2022.11.07;
  2022.09.14
• Type:
  Other
• Language:
  English
• Format:
  application/pdf
• Publisher:
  Wydawnictwo Uniwersytetu Łódzkiego
• Relation:
  Bulletin of the Section of Logic;3;
  51
• Subject:
  \({}^\alpha\)-hesitant (\({}_\alpha\)-hesitant) fuzzy set;
  \((\alpha,\beta)\)-hesitant fuzzy semigroup;
  \((\alpha,\beta)\)-hesitant fuzzy ideal;
  \((\alpha,\beta)\)-hesitant fuzzy semiprime set;
  regular semigroup
• Identifier:
  0138-0680;
  http://hdl.handle.net/11089/44040 ;
  2449-836X;
  10.18778/0138-0680.2022.13
• Data provider:
  Repozytorium Uniwersytetu Łódzkiego
• Can I use it?:
  check license
• Type:
  other