Double Fuzzy Ideal Multifunctions

Abstract

In this paper, we introduce the notion of p,q-fuzzy local function and DF-ideal topological space. Also, we introduce the concepts DFU-ð-continuous and DFL-ð-continuous, almost ð-continuous, weakly ð-continuous and almost weakly ð-continuous multifunctions. Several properties and characterizations of the introduced multifunctions and types of continuity are established. Some examples are given to explain the correct implications between these notions.

Keywords

• DF-ideal topological space
• (<i>p</i>,<i>q</i>)-fuzzy local function
• DF-multifunction
• DFU-(DFL-) ð-continuous
• almost ð-continuous
• weakly ð-continuous