Opis

• Title:
  On Homomorphism and Cartesian Products of Intuitionistic Fuzzy PMS-subalgebra of a PMS-algebra
• Creator:
  Derseh, Beza Lamesgin;
  Alaba, Berhanu Assaye;
  Wondifraw, Yohannes Gedamu
• Contributor:
  Derseh, Beza Lamesgin - Bahir Dar University, College of Science, Department of Mathematics Bahir Dar, Ethiopia;
  Alaba, Berhanu Assaye - Bahir Dar University, College of Science, Department of Mathematics, Bahir Dar, Ethiopia;
  Wondifraw, Yohannes Gedamu - Bahir Dar University, College of Science, Department of Mathematics, Bahir Dar, Ethiopia;
  Derseh, Beza Lamesgin - dbezalem@gmail.com;
  Alaba, Berhanu Assaye - birhanu.assaye290113@gmail.com;
  Wondifraw, Yohannes Gedamu - yohannesg27@gmail.com
• Description:
  In this paper, we introduce the notion of intuitionistic fuzzy PMS-subalgebras under homomorphism and Cartesian product and investigate several properties. We study the homomorphic image and inverse image of the intuitionistic fuzzy PMS-subalgebras of a PMS-algebra, which are also intuitionistic fuzzy PMS-subalgebras of a PMS-algebra, and find some other interesting results. Furthermore, we also prove that the Cartesian product of intuitionistic fuzzy PMS-subalgebras is again an intuitionistic fuzzy PMS-subalgebra and characterize it in terms of its level sets. Finally, we consider the strongest intuitionistic fuzzy PMS-relations on an intuitionistic fuzzy set in a PMS-algebra and demonstrate that an intuitionistic fuzzy PMS-relation on an intuitionistic fuzzy set in a PMS-algebra is an intuitionistic fuzzy PMS-subalgebra if and only if the corresponding intuitionistic fuzzy set in a PMS-algebra is an intuitionistic fuzzy PMS-subalgebra of a PMS-algebra.
• Object availability:
  Dostęp otwarty
• Rights: https://creativecommons.org/licenses/by-nc-nd/4.0
• Date:
  2023.06.07;
  2023.04.21
• Type:
  Other
• Language:
  angielski
• Format:
  application/pdf
• Publisher:
  Wydawnictwo Uniwersytetu Łódzkiego
• Relation:
  Bulletin of the Section of Logic;1;
  52
• Subject:
  PMS-algebra;
  intuitionistic fuzzy PMS-subalgebra;
  homomorphism;
  cartesian product and strongest intuitionistic fuzzy relation
• Identifier:
  0138-0680;
  http://hdl.handle.net/11089/47235 ;
  2449-836X;
  10.18778/0138-0680.2023.08
• Data provider:
  Repozytorium Uniwersytetu Łódzkiego
• Can I use it?:
  sprawdź warunki licencji
• Type:
  pozostałe