Abstract
In this study, some definitions and features related to fuzzy continuity, fuzzy membership functions and fuzzy continuous functions are examined. Using these definitions and properties, some theorems about fuzzy continuous functions have been proved. Key words: Fuzzy continuity, fuzzy function, fuzzy set.
Highlights
In 1965, Zadeh's fuzzy set concept was the basis of mathematical testing of the fuzzy concept that exists in our real world and the formation of new branches in mathematics
After publishing the fuzzy clusters of Zadeh in 1965 and defining Chang's fuzzy topological space in 1968, many concepts in general topology have been moved to fuzzy topological spaces and original studies have begun to be obtained
Many researchers have extended fuzzy topology to such studies.Various concepts such as fuzzy topological spaces, fuzzy uniform spaces, fuzzy groups, fuzzy vector spaces, fuzzy measures and fuzzy integrals have been investigated by using fuzzy set concept
Summary
Tatvan Vocational School, Bitlis Eren University, Bitlis, Turkey. In this study, some definitions and features related to fuzzy continuity, fuzzy membership functions and fuzzy continuous functions are examined. A lot of research has been done on this subject since 1965 It has been investigated whether or not the concepts and the theorems in the classical theory of mathematics can be applied to the fuzzy theory. Fuzzy minimal functions are defined and some continuity types are given to investigate the relation between them. Like many concepts in general topology, the notion of continuity has moved to fuzzy topological spaces and many original works have begun to be obtained. Concepts of fuzzy set and fuzzy continuity are given and some basic features of them are examined. Some of the features of fuzzy set and fuzzy continuous functions have been proved by taking advantage of these basic features examined
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