Weak In L-fuzzy Topological Space Is Semi-open Sets And Some Of Its Properties Discussed

The concept of fuzzy topological space was introduced by C.L.Chang in 1968 under' the theory of fuzzy sets. At the same time the open sets, the closed sets, the neighborhoods, the Compactness, the convergence theory and the connectedness were introduced. After that same researches extended the properties to the general L-fuzzy topological spaces. In this paper we have introduced a kind of new open sets and had discussed a kand of nearly continuous order-homomorphism,WS-irresolute mappings,WS-irresolute-open and WS-irresolute closed mappings,III-type of strong connectivity,and WS-convergence theory, it preserves many good properties.The first chapter we lay out some basic knowledge including some results which will be used later. In the second chapter, we introduce a kind of nearly continuous order-homomorphism in L-fts, discuss its basic properties. In the third chapter, we shall systematically discuss WS-irresolute mappings.,WS-irresolute-open and WS-irresolute closed mappings properties. In the forth chapter, we shall introduce a new type of connectedness, introduceⅢ-type of strong connectedness, discuss its properties, and study its relation with other type of connectedness. In the fifth chapter, we also introduced the concept of WS-convergence theory in fuzzy topological spaces, establish some of its fundamental good properties.