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.
Highlights
The fuzzy sets [29] were extended by Atanassov [4] to develop the intuitionistic fuzzy sets by including nonmembership function which is useful to express vagueness more accurately as compared to fuzzy sets
Ranking of triangular intuitionistic fuzzy numbers (TIFNs) on the basis of value index to ambiguity index is proposed by Li [9] and solved a multiattribute decision-making problem
A ranking function based on score function was proposed and the same used to solve IFLP, in which the data parameters are TIFNs
Summary
A new approach for ranking of intuitionistic fuzzy numbers using a centroid concept. Received: 19 August 2015 / Accepted: 21 September 2016 / Published online: 30 September 2016 Ó The Author(s) 2016. This article is published with open access at Springerlink.com
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