A Unified TOPSIS Approach to MADM Problems in Interval-Valued Intuitionistic Fuzzy Environment

Abstract

In this paper, TOPSIS is extended in interval-valued intuitionistic fuzzy settings using mathematical programming and normalized hamming distance between two intuitionistic fuzzy sets with three parameter characterizations. The two formulae giving lower and upper bounds of intervals for relative closeness coefficients of alternatives are generated on solving two linear fractional programming models. A fuzzy preference relation as possibility degree matrix is formed using pairwise comparisons of intervals of closeness coefficients and used to estimate the optimal degrees for ultimate ordering of alternatives. A numerical example with two distinct forms demonstrates the validity and effectiveness of the presented approach.