Sequential definitions of fuzzy continuity in fuzzy spaces

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2019

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Maltepe Üniversitesi

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Abstract

Çakalli extended the concept of G-sequential compactness to a fuzzy topological group and introduced the notion of G-fuzzy sequential compactness, where G is a function from a suitable subset of the set of all sequences of fuzzy points in a fuzzy first countable topological space X. The aim of this paper is to investigate whether an idea like the G-fuzzy continuity can be introduced and consequently can be extended to a more general approach to fuzzy continuity in fuzzy topological spaces. In this article, we introduce the concepts of G-fuzzy sequential continuity and G-fuzzy sequential closedness in a fuzzy topological space and give some characterization theorems.

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Third International Conference of Mathematical Sciences

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Citation

Yaying, T., Acikgoz, A. ve Çakallı, H. (2019). Sequential definitions of fuzzy continuity in fuzzy spaces. Third International Conference of Mathematical Sciences, Maltepe Üniversitesi. s. 1-4.