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

1
School of Mechanical, Aerospace and Civil Engineering, The University of Manchester, Sackville Street, Manchester M13 9PL, UK
2
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)
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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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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