Totally Somewhat Fuzzy Continuous and Totally Somewhat Fuzzy Semicontinuous Mappings

Appachi Vadivel, Ayyarasu Swaminathan

Abstract

The aim of this paper is to introduce some new class of mappings

called totally somewhat fuzzy continuous, totally somewhat fuzzy

semicontinuous, slightly somewhat fuzzy semicontinuous, totally

somewhat generalized fuzzy semicontinuous, almost somewhat fuzzy

continuous and almost somewhat fuzzy semicontinuous. Their

compositions, their relationships with other mappings, preservation of

some fuzzy spaces under these mappings and some examples are studied

and investigated.