Implementation of Vague-Fuzzification using Vague Sets

Abstract

A mathematical procedure used to convert an element in the universe of discourse into the membership value of the fuzzy set is termed as fuzzification. In this paper we propose a new technique Vague-Fuzzification to implement fuzzification using vague sets. The proposed technique is designed that is using two methods to implement the same. First method includes a positive ordered transforming formula (POTF) that transforms a non-negative single value data to vague data. The second method takes as input the output of first method and converts the vague data to fuzzified membership values. The technique is implemented using MATLAB and the results of two different data sets are summarized in the form of tables.