On Fuzzy $e$-open Sets, Fuzzy $e$-continuity and Fuzzy $e$-compactness in Intuitionistic Fuzzy Topological Spaces

Publish Year: 1397
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_SCMA-12-1_010

تاریخ نمایه سازی: 18 تیر 1398

Abstract:

The purpose of this paper is to introduce and study the concepts of fuzzy $e$-open set, fuzzy $e$-continuity and fuzzy $e$-compactness in intuitionistic fuzzy topological spaces. After giving the fundamental concepts of intuitionistic fuzzy sets and intuitionistic fuzzy topological spaces, we present intuitionistic fuzzy $e$-open sets and intuitionistic fuzzy $e$-continuity and other results related topological concepts. Several preservation properties and some characterizations concerning intuitionistic fuzzy $e$-compactness have been obtained.

Keywords:

Intuitionistic fuzzy set , Intuitionistic fuzzy point , Intuitionistic fuzzy topological space , Intuitionistic fuzzy $e$-open set , Intuitionistic fuzzy $e$-continuity , Intuitionistic fuzzy $e$-closure , Intuitionistic fuzzy $e$-interior , Intuitionistic fuzzy $e$-compact spaces

Authors

Veerappan Chandrasekar

Department of Mathematics, Kandaswami Kandar s College, P-velur-۶۳۸ ۱۸۲, Tamil Nadu, India.

Durairaj Sobana

Department of Mathematics, Kandaswami Kandar s College, P-velur-۶۳۸ ۱۸۲, Tamil Nadu, India.

Appachi Vadivel

Department of Mathematics, Annamalai University, Annamalainagar, Tamil Nadu-۶۰۸ ۰۰۲.

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  • K. Atanassov, Intuitionistic fuzzy sets, VII ITKR s Session, Sofia, ...
  • K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 ...
  • C.L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl., 24 ...
  • D. Coker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy ...
  • D. Coker and M. Demirci, On intuitionistic fuzzy points NIFS, ...
  • E. Ekici, New forms of contra-continuity, Carpathian J. Math., 24 ...
  • E. Ekici, On $e$-open sets, $DP^*$-sets and $DPepsilon^*$-sets and decompositions ...
  • E. Ekici, On $a$-open sets $A^*$-sets and decompositions of continuity ...
  • E. Ekici, Some generalizations of almost contra-super-continuity, Filomat, 21 (2007), ...
  • E. Ekici, On $e^*$-open sets and $(D,S)^*$-sets, Mathematica Moravica, 13 ...
  • H. Gurcay, D. Coker, and A.H. Es, On fuzzy continuity ...
  • V. Seenivasan and K. Kamala, Fuzzy $e$-continuity and fuzzy $e$-open ...
  • P. Smets, The degree of belief in a fuzzy event, ...
  • M. Sugeno, An introductory survey of fuzzy control, Information Science, ...
  • S.S. Thakur and S. Singh, On fuzzy semi-pre open sets ...
  • L.A. Zadeh, Fuzzy Sets, Inform. and Control, 8 (1965), pp. ...
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