Intuitionistic Fuzzy Congruence Relations on Intuitionistic Fuzzy Abstract Algebras
Abstract
In this study, the intuitionistic fuzzy congruence relations on intuitionistic fuzzy abstract algebras were examined using Zadeh extension principle. Some basic properties of intuitionistic fuzzy congruence relations on n-ary operations were obtained.
Keywords
References
- [1] Atanassov K.T., Intuitionistic Fuzzy Sets, VII ITKR.s Session, SoÖa, June 1983.
- [2] K. T. Atanassov, Studies in fuzziness and soft computing-on intuitionistic fuzzy sets theory, ISBN 978-3-642-29126-5, Springer 2012.
- [3] Birkho§ G., LatticeTheory, American Mathematical Society, United States of America, 418 p., (1940).
- [4] Burillo P., Bustince H., Intuitionistic fuzzy relations (Part I) Mathware Soft Comput., 2 (1995), 5-38.
- [5] Bustince H., Burillo P., Structures on intuitionistic fuzzy relations, Fuzzy Sets and Systems, 78 (1996), 293-303.
- [6] Cohn P.M., Universal Algebra, D. Reidel Publishing Company, Dordrecht: Holland/ Boston: U.S.A/ London: England, 412 p., (1981).
- [7] Çuvalcıoglu, G.; Yılmaz, S. Some properties of intuitionistic Fuzzy equivalence relations º and class trees w.r.t. intuitionistic Fuzzy equivalence relations. ADV. STUDIES CONTEMP. · MATH, 2014, 1(24), 1-9.
- [8] Çuvalcıoglu G., Tarsuslu(Yılmaz) S., Universal Algebra in Intuitionistic Fuzzy Set Theory, º Notes on Intuitionistic Fuzzy Sets, 23 (1), 2017, 1-5.
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Authors
Sinem Tarsuslu Yılmaz
Mersin University
Türkiye
Mehmet Cıtıl
Kahramanmaraş Sütçü İmam University
Türkiye
Publication Date
June 1, 2019
Submission Date
October 2, 2017
Acceptance Date
October 16, 2018
Published in Issue
Year 2019 Volume: 32 Number: 2