Some Studies On L-fuzzy Semi-topological Linear Spaces And Intuitionistic Fuzzy Supra R-continuous Mappings

L-Fuzzy topological linear spaces is a kind of topological linear spaces which takes fuzziness as the background and combines topological structure with linear structure organically,which has a broad application prospect.As a generalization of supra topological structure in the context of intuitionistic fuzzy,intuitionistic fuzzy supra topological space has penetrated into many fields such as Artificial Intelligence,Decision Analysis and so on.This paper mainly studies two parts through literature analysis and analogical reasoning,the one is the L-fuzzy semi-topological linear spaces defined by L-fuzzy semi-continuous mappings in linear spaces,the other is the introduction of intuitionistic fuzzy supra R-open sets in intuitionistic fuzzy supra topological spaces,and the intuitionistic fuzzy supra R-continuous mappings defined by the intuitionistic fuzzy supra R-open set is studied,the main contents are as follows:In the first part,we first define the L-fuzzy semi-continuous mappings by using the concept of semi-remote domain in L-fuzzy topological spaces,study the basic properties of the mappings,and give the equivalent characterization of L-fuzzy semi-continuous mappings on semi-closed sets,semi-interior and semi-closure.Secondly,the concept of L-fuzzy semi-topological linear spaces is given by L-fuzzy semi-continuous mappings on linear spaces,and the properties of this space are studied.Finally,with the help of semi-remote base of?_?,a characterization of fuzzy semi-topological linear space is given.In the second part,intuitionistic fuzzy supra R-open sets are introduced into intuitionistic fuzzy supra topological spaces,and the definitions of intuitionistic fuzzy supra R-open(closed)sets,intuitionistic fuzzy supra-closures and intuitionistic fuzzy supra-interior are given,and their basic properties are studied.Then intuitionistic fuzzy supra R-continuous mappings and intuitionistic fuzzy supra R-open(closed)mappings are defined by intuitionistic fuzzy supra R-open(closed)sets,and the properties of the above three mappings are discussed.the equivalent characterizations of intuitionistic fuzzy supra R-closure and intuitionistic fuzzy supra R-interior are obtained.