Description

• Tytuł:
  An (α,β)-Hesitant Fuzzy Set Approach to Ideal Theory in Semigroups
• Twórca:
  Yiarayong, Pairote
• Współtwórca:
  Pibulsongkram Rajabhat University, Department of Mathematics, Faculty of Science and Technology, Phitsanulok 65000, Thailand;
  pairote0027@hotmail.com
• Opis:
  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.
• Dostępność obiektu:
  free access
• Prawa: https://creativecommons.org/licenses/by-nc-nd/4.0
• Data:
  2022.11.07;
  2022.09.14
• Typ:
  Other
• Język:
  English
• Format:
  application/pdf
• Wydawca:
  Wydawnictwo Uniwersytetu Łódzkiego
• Relacja:
  Bulletin of the Section of Logic;3;
  51
• Temat i słowa kluczowe:
  \({}^\alpha\)-hesitant (\({}_\alpha\)-hesitant) fuzzy set;
  \((\alpha,\beta)\)-hesitant fuzzy semigroup;
  \((\alpha,\beta)\)-hesitant fuzzy ideal;
  \((\alpha,\beta)\)-hesitant fuzzy semiprime set;
  regular semigroup
• Identyfikator:
  0138-0680;
  http://hdl.handle.net/11089/44040 ;
  2449-836X;
  10.18778/0138-0680.2022.13
• Dostawca danych:
  Repozytorium Uniwersytetu Łódzkiego
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  check license
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