TY  - JOUR
T1  - Intuitionistic Fuzzy Congruence Relations on Intuitionistic Fuzzy Abstract Algebras
AU  - Tarsuslu Yılmaz, Sinem
AU  - Cıtıl, Mehmet
PY  - 2019
DA  - June
JF  - Gazi University Journal of Science
PB  - Gazi University
WT  - DergiPark
SN  - 2147-1762
SP  - 649
EP  - 658
VL  - 32
IS  - 2
LA  - en
AB  - Inthis study, the intuitionistic fuzzy congruence relations on intuitionisticfuzzy abstract algebras were examined using Zadeh extension principle. Somebasic properties of intuitionistic fuzzy congruence relations on n-aryoperations were obtained.
KW  - Intuitionistic fuzzy sets
KW  - intuitionistic fuzzy universal algebra
KW  - intuitionistic fuzzy equivalence relations
KW  - intuitionistic fuzzy congruence relations
CR  - [1] Atanassov K.T., Intuitionistic Fuzzy Sets, VII ITKR.s Session, SoÖa, June 1983.
CR  - [2] K. T. Atanassov, Studies in fuzziness and soft computing-on intuitionistic fuzzy sets theory, ISBN
978-3-642-29126-5, Springer 2012.
CR  - [3] Birkho§ G., LatticeTheory, American Mathematical Society, United States of America, 418
p., (1940).
CR  - [4] Burillo P., Bustince H., Intuitionistic fuzzy relations (Part I) Mathware Soft Comput., 2
(1995), 5-38.
CR  - [5] Bustince H., Burillo P., Structures on intuitionistic fuzzy relations, Fuzzy Sets and Systems,
78 (1996), 293-303.
CR  - [6] Cohn P.M., Universal Algebra, D. Reidel Publishing Company, Dordrecht: Holland/ Boston:
U.S.A/ London: England, 412 p., (1981).
CR  - [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.
CR  - [8] Çuvalcıoglu G., Tarsuslu(Yılmaz) S., Universal Algebra in Intuitionistic Fuzzy Set Theory, º
Notes on Intuitionistic Fuzzy Sets, 23 (1), 2017, 1-5.
CR  - [9] Çuvalcıoglu G., Tarsuslu(Yılmaz) S., Isomorphism theorems on Intuitionistic Fuzzy Universal º
Algebras, Hacettepe Journal of Mathematics and Statistics, under review.
CR  - [10] Deschrijver G., Kerre E.E., On the composition of intuitionistic fuzzy relations, Fuzzy Sets
and systems, 2003, 136, 333ñ361.
CR  - [11] Hur K, Su Y. J., Hee W. K., The lattice of intuitionistic fuzzy congruences, Int. Math. Forum,
5(1), 2006, 211-236.
CR  - [12] Hur K., Jang S. Y. and Ahn Y. S., Intuitionistic fuzzy equivalence relations, Honam Math.
J. 27(2), 2005, 163-181.
CR  - [13] Li M., Cut sets of intuitionistic fuzzy sets (in Chinese), Journal of Liaoning Normal university,
30(2) (2007) 152-154.
CR  - [14] Mural¨V., A Study of Universal Algebra in Fuzzy Set Theory, Rhodes University, Department
of Mathematics, PhD. Thesis, 1987, 104p.
CR  - [15] Mural¨V., Fuzzy congruence relations, Fuzzy Sets and Systems, 41(3), 1991, 359-369.
CR  - [16] Palaniappan N., Naganathan S. and Arjunan K., A study on Intuitionistic L-Fuzzy Subgroups,
App. Math. Sciences, 3(53), 2009, 2619-2624.
CR  - [17] Zadeh L.A., Fuzzy Sets, Information and Control, 8, 1965, 338-353.
CR  - [18] Zadeh L.A., The concept of linguistic variable and its application to approximate reasoning.
Inform. Sci., 8 (1975). 133-139.
UR  - https://dergipark.org.tr/en/pub/gujs/issue//341338
L1  - https://dergipark.org.tr/en/download/article-file/726191
ER  -