Research Article

Intuitionistic Fuzzy Congruence Relations on Intuitionistic Fuzzy Abstract Algebras

Volume: 32 Number: 2 June 1, 2019
EN

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. [1] Atanassov K.T., Intuitionistic Fuzzy Sets, VII ITKR.s Session, SoÖa, June 1983.
  2. [2] K. T. Atanassov, Studies in fuzziness and soft computing-on intuitionistic fuzzy sets theory, ISBN 978-3-642-29126-5, Springer 2012.
  3. [3] Birkho§ G., LatticeTheory, American Mathematical Society, United States of America, 418 p., (1940).
  4. [4] Burillo P., Bustince H., Intuitionistic fuzzy relations (Part I) Mathware Soft Comput., 2 (1995), 5-38.
  5. [5] Bustince H., Burillo P., Structures on intuitionistic fuzzy relations, Fuzzy Sets and Systems, 78 (1996), 293-303.
  6. [6] Cohn P.M., Universal Algebra, D. Reidel Publishing Company, Dordrecht: Holland/ Boston: U.S.A/ London: England, 412 p., (1981).
  7. [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. [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

APA
Tarsuslu Yılmaz, S., & Cıtıl, M. (2019). Intuitionistic Fuzzy Congruence Relations on Intuitionistic Fuzzy Abstract Algebras. Gazi University Journal of Science, 32(2), 649-658. https://izlik.org/JA97JB45ZY
AMA
1.Tarsuslu Yılmaz S, Cıtıl M. Intuitionistic Fuzzy Congruence Relations on Intuitionistic Fuzzy Abstract Algebras. Gazi University Journal of Science. 2019;32(2):649-658. https://izlik.org/JA97JB45ZY
Chicago
Tarsuslu Yılmaz, Sinem, and Mehmet Cıtıl. 2019. “Intuitionistic Fuzzy Congruence Relations on Intuitionistic Fuzzy Abstract Algebras”. Gazi University Journal of Science 32 (2): 649-58. https://izlik.org/JA97JB45ZY.
EndNote
Tarsuslu Yılmaz S, Cıtıl M (June 1, 2019) Intuitionistic Fuzzy Congruence Relations on Intuitionistic Fuzzy Abstract Algebras. Gazi University Journal of Science 32 2 649–658.
IEEE
[1]S. Tarsuslu Yılmaz and M. Cıtıl, “Intuitionistic Fuzzy Congruence Relations on Intuitionistic Fuzzy Abstract Algebras”, Gazi University Journal of Science, vol. 32, no. 2, pp. 649–658, June 2019, [Online]. Available: https://izlik.org/JA97JB45ZY
ISNAD
Tarsuslu Yılmaz, Sinem - Cıtıl, Mehmet. “Intuitionistic Fuzzy Congruence Relations on Intuitionistic Fuzzy Abstract Algebras”. Gazi University Journal of Science 32/2 (June 1, 2019): 649-658. https://izlik.org/JA97JB45ZY.
JAMA
1.Tarsuslu Yılmaz S, Cıtıl M. Intuitionistic Fuzzy Congruence Relations on Intuitionistic Fuzzy Abstract Algebras. Gazi University Journal of Science. 2019;32:649–658.
MLA
Tarsuslu Yılmaz, Sinem, and Mehmet Cıtıl. “Intuitionistic Fuzzy Congruence Relations on Intuitionistic Fuzzy Abstract Algebras”. Gazi University Journal of Science, vol. 32, no. 2, June 2019, pp. 649-58, https://izlik.org/JA97JB45ZY.
Vancouver
1.Sinem Tarsuslu Yılmaz, Mehmet Cıtıl. Intuitionistic Fuzzy Congruence Relations on Intuitionistic Fuzzy Abstract Algebras. Gazi University Journal of Science [Internet]. 2019 Jun. 1;32(2):649-58. Available from: https://izlik.org/JA97JB45ZY