Opis

• Title:
  Inf-Hesitant Fuzzy Ideals in BCK/BCI-Algebras
• Creator:
  Jun, Young Bae;
  Song, Seok-Zun
• Contributor:
  Jun, Young Bae - Gyeongsang National University, Department of Mathematics Education;
  Song, Seok-Zun - Jeju National, University, Department of Mathematics;
  Jun, Young Bae - skywine@gmail.com;
  Song, Seok-Zun - szsong@jejunu.ac.kr
• Description:
  Based on the hesitant fuzzy set theory which is introduced by Torra in the paper [12], the notions of Inf-hesitant fuzzy subalgebras, Inf-hesitant fuzzy ideals and Inf-hesitant fuzzy p-ideals in BCK/BCI-algebras are introduced, and their relations and properties are investigated. Characterizations of an Inf-hesitant fuzzy subalgebras, an Inf-hesitant fuzzy ideals and an Inf-hesitant fuzzy p-ideal are considered. Using the notion of BCK-parts, an Inf-hesitant fuzzy ideal is constructed. Conditions for an Inf-hesitant fuzzy ideal to be an Inf-hesitant fuzzy p-ideal are discussed. Using the notion of Inf-hesitant fuzzy (p-) ideals, a characterization of a p-semisimple BCI-algebra is provided. Extension properties for an Inf-hesitant fuzzy p-ideal is established.
• Object availability:
  Dostęp otwarty
• Rights: http://creativecommons.org/licenses/by-nc-nd/4.0
• Date:
  2021.05.05;
  2020.03.30
• Type:
  Other
• Language:
  angielski
• Format:
  application/pdf
• Publisher:
  Wydawnictwo Uniwersytetu Łódzkiego
• Relation:
  Bulletin of the Section of Logic;1;
  49
• Subject:
  p-semisimple BCI-algebra;
  Inf-hesitant fuzzy subalgebra;
  Inf-hesitant fuzzy ideal;
  Inf-hesitant fuzzy p-ideal
• Identifier:
  0138-0680;
  http://hdl.handle.net/11089/35371 ;
  2449-836X;
  10.18778/0138-0680.2020.03
• Data provider:
  Repozytorium Uniwersytetu Łódzkiego
• Can I use it?:
  sprawdź warunki licencji
• Type:
  pozostałe