In this paper, a presented definition of type-2 fuzzy sets and type-2 fuzzy set operation on it was given. The aim of this work was to introduce the concept of general topological spaces were extended in type-2 fuzzy ...In this paper, a presented definition of type-2 fuzzy sets and type-2 fuzzy set operation on it was given. The aim of this work was to introduce the concept of general topological spaces were extended in type-2 fuzzy sets with the structural properties such as open sets, closed sets, interior, closure and neighborhoods in topological spaces were extended to general type-2 fuzzy topological spaces and many related theorems are proved.展开更多
In the area of fuzzy topology, researches have been carried out in China and abroad in recent years. But the theory of the fuzzy function space, which is apparently important in fuzzy topology, has not been establishe...In the area of fuzzy topology, researches have been carried out in China and abroad in recent years. But the theory of the fuzzy function space, which is apparently important in fuzzy topology, has not been established yet. The important theories of compactness, separation and uniformities on a fuzzy topological space, related closely to the discussion of topological structure of the fuzzy function space, are so complicated that the research on the subject is rather difficult.展开更多
文摘In this paper, a presented definition of type-2 fuzzy sets and type-2 fuzzy set operation on it was given. The aim of this work was to introduce the concept of general topological spaces were extended in type-2 fuzzy sets with the structural properties such as open sets, closed sets, interior, closure and neighborhoods in topological spaces were extended to general type-2 fuzzy topological spaces and many related theorems are proved.
文摘In the area of fuzzy topology, researches have been carried out in China and abroad in recent years. But the theory of the fuzzy function space, which is apparently important in fuzzy topology, has not been established yet. The important theories of compactness, separation and uniformities on a fuzzy topological space, related closely to the discussion of topological structure of the fuzzy function space, are so complicated that the research on the subject is rather difficult.
