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Axioms 2018, 7(1), 1; doi:10.3390/axioms7010001

A Fuzzy Trade-Off Ranking Method for Multi-Criteria Decision-Making

School of Mechanical, Aerospace and Civil Engineering, The University of Manchester, Sackville Street, Manchester M13 9PL, UK
Moscow Institute of Physics and Technology, 141700 Dolgoprudny, Russia
Author to whom correspondence should be addressed.
Received: 9 November 2017 / Revised: 16 December 2017 / Accepted: 18 December 2017 / Published: 26 December 2017
(This article belongs to the Special Issue Multi-Criteria Decisions)
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The aim of this paper is to present a trade-off ranking method in a fuzzy multi-criteria decision-making environment. The triangular fuzzy numbers are used to represent the imprecise numerical quantities in the criteria values of each alternative and the weight of each criterion. A fuzzy trade-off ranking method is developed to rank alternatives in the fuzzy multi-criteria decision-making problem with conflicting criteria. The trade-off ranking method tackles this type of multi-criteria problems by giving the least compromise solution as the best option. The proposed method for the fuzzy decision-making problems is compared against two other fuzzy decision-making approaches, fuzzy Technique for Order Preference by Similarity to the Ideal Solution (TOPSIS) and fuzzy VlseKriterijuska Optimizacija I Komoromisno Resenje (VIKOR), used for ranking alternatives. View Full-Text
Keywords: fuzzy trade-off; fuzzy TOPSIS; fuzzy VIKOR; ranking; multi-criteria decision-making; triangular fuzzy number; Pareto solution fuzzy trade-off; fuzzy TOPSIS; fuzzy VIKOR; ranking; multi-criteria decision-making; triangular fuzzy number; Pareto solution

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Jaini, N.I.; Utyuzhnikov, S.V. A Fuzzy Trade-Off Ranking Method for Multi-Criteria Decision-Making. Axioms 2018, 7, 1.

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