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ѧÊõÔ¤¸æ-Applications of implication operations in mappings between fuzzy topological spaces
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½²×ùÖ÷Ì⣺Applications of implication operations in mappings between fuzzy topological spaces

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With the development of fuzzy set theory, different types of fuzzy topological spaces have been introduced, including L-topological spaces, M-fuzzifying topological spaces and (L,M)-fuzzy topological spaces.

In this talk, we mainly introduce the development of the theory of fuzzy topological spaces. In particular, we will apply the implication operations to mappings between M-fuzzifying topological spaces. In this sense, we will equip each mapping between M-fuzzifying topological spaces with some degrees to become a continuous mapping, an open mapping and a quotient mapping. Then we will give the degree representations to the basic properties of these concept. In this way, we provide a degree approach to M-fuzzifying topological spaces.

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