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Intuitionistic Fuzzy γ-Continuity

Published online by Cambridge University Press:  20 November 2018

I. M. Hanafy
I. M. Hanafy*
Affiliation:
Department of Mathematics, Faculty of Education, Suez Canal University, El-Arish, Egypt e-mail: ihanafy@hotmail.com
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Abstract

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This paper introduces the concepts of fuzzy $\gamma$-open sets and fuzzy $\gamma$-continuity in intuitionistic fuzzy topological spaces. After defining the fundamental concepts of intuitionistic fuzzy sets and intuitionistic fuzzy topological spaces, we present intuitionistic fuzzy $\gamma$-open sets and intuitionistic fuzzy $\gamma$-continuity and other results related topological concepts.

Keywords

54A4054A2054F99intuitionistic fuzzy setintuitionistic fuzzy pointintuitionistic fuzzy topological spaceintuitionistic fuzzy γ-open setintuitionistic fuzzy γ-continuityintuitionistic fuzzy γ-closure (γ-interior)
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 52 , Issue 4 , 01 December 2009 , pp. 544 - 554
Copyright
Copyright © Canadian Mathematical Society 2009

References

[1] Atanassov, K., Intuitionistic fuzzy sets VII. ITKR's Session, Sofia, Bulgaria, 1983.Google Scholar
[2] Atanassov, K., Intuitionistic fuzzy sets. Fuzzy Sets and Systems 20(1986), no. 1, 87–96.Google Scholar
[3] Coker, D. , An introduction to intuitionistic fuzzy topological spaces. Fuzzy Sets and Systems 88(1997), no. 1, 81–89.Google Scholar
[4] Coker, D. and Demirci, M., On intuitionistic fuzzy points. Notes IFS 1(1995), no. 2, 79–84.Google Scholar
[5] Gurcay, H., Coker, D., and Es, A. H., On fuzzy continuity in intuitionistic fuzzy topological spaces. J. Fuzzy Math. 5(1997), no. 2, 365–378.Google Scholar
[6] Hanafy, I. M., Fuzzy -open sets and fuzzy-continuity. J. Fuzzy Math. 7(1999), no. 2, 419–430.Google Scholar
[7] Zadeh, L. A., Fuzzy sets. Information and Control 8(1965), 338–353.Google Scholar