Filters topology in light of fuzzy logic

Abstract EN

This paper is a try to promote the principles of filters on a classical sets into a fuzzy sets under definitions of mathematical operations such intersections(disjunctions) and union(conjunction),…,etc .Some definitions on classical sets is traditionally true on the fuzzy sets , also some theorems and remarks were executed .Several examples occurred to demonstrate these views.

Eventually this work is represent a restricts to the general view for fuzzy into some points (members).

Fuzzy filter base is an other term edited under several definitions supported by some theorems holds for the crisp sets under these principles .This research is one from a series of researches try to prove and then improve a vision to combine a view (s) of fuzzy logic for many directions for subjects from mathematics, geometry and sciences computers and calculations, this work one for topology.