A new approach for ranking of intuitionistic fuzzy numbers using a centroid concept

K. Arun Prakash · M. Suresh · S. Vengataasalam

47 citations0/0 files storedMathematical sciences

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Multi-Criteria Decision Making Fuzzy and Soft Set Theory Fuzzy Systems and Optimization

Abstract

Ranking of intuitionistic fuzzy numbers is a difficult task. Many methods have been proposed for ranking of intuitionistic fuzzy numbers. In this paper we have ranked both trapezoidal intuitionistic fuzzy numbers and triangular intuitionistic fuzzy numbers using the centroid concept. Some of the properties of the ranking function have been studied. Also, comparative examples are given to show the effectiveness of the proposed method.

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References

1965Fuzzy sets 1996Fuzzy sets 1986Intuitionistic fuzzy sets 2001Reasonable properties for the ordering of fuzzy quantities (II)2008A new approach for ranking of trapezoidal fuzzy numbers 2018Notes on Intuitionistic Fuzzy Sets 2010A ratio ranking method of triangular intuitionistic fuzzy numbers and its application to MADM problems 1998On a canonical representation of fuzzy numbers

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2019Arithmetic operations on normal semi elliptic intuitionistic fuzzy numbers and their application in decision-making 2019A novel defuzzification method of SV-trapezoidal neutrosophic numbers and multi-attribute decision making: a comparative analysis 2022Application of Intuitionistic Z-Numbers in Supplier Selection

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