Fuzzy $\bigwedge_{e}$ Sets and Continuity in Fuzzy Topological spaces

Journal of Linear and Topological Algebra

مقاله 3، دوره 06، شماره 02، تیر 2017، صفحه 125-134   

نوع مقاله: Research Paper

نویسندگان

A. Vadivel؛ B. Vijayalakshmi^*

Department of Mathematics, Annamalai University, Annamalai Nagar, Tamil Nadu 608 002, India

چکیده

We introduce a new class of fuzzy open sets called fuzzy $\bigwedge_e$ sets which includes the class of fuzzy $e$-open sets. We also define a weaker form of fuzzy $\bigwedge_e$ sets termed as fuzzy locally $\bigwedge_e$ sets. By means of these new sets, we present the notions of fuzzy $\bigwedge_e$ continuity and fuzzy locally $\bigwedge_e$ continuity which are weaker than fuzzy $e$-continuity and furthermore we investigate the relationships between these new types of continuity and some others.

کلیدواژه‌ها

fuzzy $bigwedge_e$ set؛ fuzzy $bigvee_e$ set؛ fuzzy locally $bigwedge_e$ set؛ fuzzy $bigwedge_e$ continuity؛ fuzzy locally $bigwedge_e$ continuity

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