Pseudo Fuzzy Set

TL;DR

This paper introduces Pseudo fuzzy sets, a new way to model imprecise information using two membership functions representing positive and negative aspects, along with their properties and related numbers.

Contribution

It proposes the concept of Pseudo fuzzy sets with dual membership functions, a novel approach to handle vagueness and negative senses in fuzzy set theory.

Findings

Development of Pseudo fuzzy set and its properties

Introduction of Pseudo fuzzy numbers

Discussion on positive and negative membership functions

Abstract

Here a novel idea to handle imprecise or vague set viz. Pseudo fuzzy set has been proposed. Pseudo fuzzy set is a triplet of element and its two membership functions. Both the membership functions may or may not be dependent. The hypothesis is that every positive sense has some negative sense. So, one membership function has been considered as positive and another as negative. Considering this concept, here the development of Pseudo fuzzy set and its property along with Pseudo fuzzy numbers has been discussed.