Ranking of Intuitionistic Fuzzy Numbers by New Distance Measure
Debaroti Das, P.K.De
TL;DR
This paper introduces a novel distance-based ranking method for intuitionistic fuzzy numbers, enhancing decision-making processes by providing a new quantitative comparison tool.
Contribution
It proposes a new distance measure for ranking intuitionistic fuzzy numbers using Lp metric, generalizing interval number concepts with value and ambiguity indices.
Findings
New distance measure for intuitionistic fuzzy numbers
Comparison results demonstrating effectiveness
Generalization of interval number distance concept
Abstract
Ranking of intuitionsitic fuzzy number plays a vital role in decision making and other intuitionistic fuzzy applications. In this paper, we propose a new ranking method of intuitionistic fuzzy number based on distance measure. We first define a distance measure for interval numbers based on Lp metric and further generalize the idea for intuitionistic fuzzy number by forming interval with their respective value and ambiguity indices. Finally, some comparative results are given in tabular form.
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Taxonomy
TopicsMulti-Criteria Decision Making · Fuzzy Systems and Optimization · Optimization and Mathematical Programming