Research On Their Related Properties Of Fuzzifying Scp-topological Space And Intuitionistic Fuzzifying Topological Space

Fuzzifying scp-topological space is based on Fuzzifying topological space,and a new topological space is constructed by using scp-open set,which has great research value.Intuitionistic fuzzy topological space is popularized under the background of intuitionistic Fuzzifying topological space,and now it has been involved in many neighborhoods such as pattern recognition and big data processing.This master’s dissertation mainly studies two parts analogy reasoning and other research methods.One is to give the Fuzzifying scp-topological space in the Fuzzifying topological space by using scp-open set,and the other is to study the intuitionistic Fuzzifying topological space based on L*-lattice valued logic semantics method.The main contents are as follows:In the first part,the Fuzzifying scp-topological space is discussed,the separation axioms of scp-Ti-(i=0,1,2,3,4)are given from the concepts of scp-open set,scpclosed set and scp-neighborhood,by using the method of continuous valued logical semantics in the Fuzzifying scp-topological space,both the relations of these five kinds of separation are discussed and its topological invariance is proved.Finally,the relationship between Fuzzifying scp-continuous mapping and other continuous mappings is studied.In the second part,the concept of closure operator in the intuitionistic Fuzzifying topological space is first given,and its related properties are discussed with the help of the tool Lukasiewicz implication operator on L*-lattice value in the intuitionistic Fuzzifying topological space.Secondly,the concept of intuitionistic Fuzzifying continuous function is given and the definition of continuous function is given by using closed set,neighborhood,closure and interior.Finally,using the concept of intuitionistic Fuzzifying closure,the definition of intuitionistic Fuzzifying connectivity is given,and their equivalent characterizations are studied,and the judgment theorem,arbitrary summability and topological invariance of its connectivity are discussed.