In this paper, the concepts of μSp-open sets, μSp-interior and μSp-closure of a set in the generalized topological spaces are introduced. This also investigates related concepts such as μSp-continuous, μSp-open and μSp-closed functions. Mathematics Subject Classification: 54A05

We study interior operators and interior structures in a fuzzy setting.We investigate systems of “almost open” fuzzy sets and the relationshipsto fuzzy interior operators and fuzzy interior systems.

in this paper, we introduce and study the concept of $r$-fuzzy regular semi open (closed) sets in smooth topological spaces. by using $r$-fuzzy regular semi open (closed) sets, we define a new fuzzy closure operator namely $r$-fuzzy regular semi interior (closure) operator. also, we introduce fuzzy regular semi continuous and fuzzy regular semi irresolute mappings. moreover, we investigate the ...

Copyright q 2012 K. Kannan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Many investigations are undergoing of the relationship between topological spaces and graph theory. The aim of this short communication is to study the na...