α-p Connectedness In L-fuzzy Topological And L-fuzzy Bitopological Space

By the basis of p-open sets and p-closed sets are given in paper[1],the concept ofα-p closed sets,α-p open sets are introduced in L-fuzzy topological space.Based on the notions,the new concept of connectedness-α-p connectedness is given in L-fuzzy topological space and L-fuzzy bitopological space.The comprehensive discussion of them are discussed.The achievements of the article are as follows:1.α-p separatedness is introduced by means of p- closed sets.The concept ofα-p connectedness in L-fuzzy topological space is given,the basic properties are discussed.The equivalent characterizations and theorem are introduced,the comparison with p-connectedness are discussed.2.We proved that L-fuzzyα-p connectedness is preserved on p-weakly homeomorphism, finite product and " L-good extension ".Morever,Fan Ji theorem ofα-p connectedness is proved.3.In L - fuzzy bitopological space,α-p connectedness,weakly matchedα-p connectedness,matchedα-p connectedness are introduced.The basic properties of them are discussed systematically.The concept of weakly matchedα-p connected component and matchedα-p connected component are given,the union,the intersection and the pairwise continuous homeomorphism of weakly matchedα-p connectedness and matchedα-p connectedness are preserved.