A robust additive consistency-based method for decision making with triangular fuzzy reciprocal preference relations

Fanyong Meng () and Xiaohong Chen ()
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Fanyong Meng: Nanjing Audit University
Xiaohong Chen: Central South University

Fuzzy Optimization and Decision Making, 2018, vol. 17, issue 1, No 3, 49-73

Abstract: Abstract To express uncertain information in decision making, triangular fuzzy reciprocal preference relations (TFRPRs) might be adopted by decision makers. Considering consistency of this type of preference relations, this paper defines a new additive consistency concept, which can be seen as an extension of that for reciprocal preference relations. Then, a simple method to calculate the triangular fuzzy priority weight vector is introduced. When TFRPRs are inconsistent, a linear goal programming framework to derive the completely additive consistent TFRPRs is provided. Meanwhile, an improved linear goal programming model is constructed to estimate the missing values in an incomplete TFRPR that can address the situation where ignored objects exist. After that, an algorithm for decision making with TFRPRs is presented. Finally, numerical examples and comparison analysis are offered.

Keywords: Decision making; Triangular fuzzy reciprocal preference relation; Additive consistency; Goal programming model (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10700-016-9262-8

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