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Information 2018, 9(10), 260; https://doi.org/10.3390/info9100260

Additively Consistent Interval-Valued Intuitionistic Fuzzy Preference Relations and Their Application to Group Decision Making

Department of Business Management, School of Management, Xiamen University, Xiamen 361005, China
Received: 18 September 2018 / Revised: 7 October 2018 / Accepted: 12 October 2018 / Published: 21 October 2018
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Abstract

This paper aims to propose an innovative approach to group decision making (GDM) with interval-valued intuitionistic fuzzy (IVIF) preference relations (IVIFPRs). First, an IVIFPR is proposed based on the additive consistency of an interval-valued fuzzy preference relation (IVFPR). Then, two mathematical or adjusted programming models are established to extract two special consistent IVFPRs. In order to derive the priority weight of an IVIFPR, after taking the two special IVFPRs into consideration, a linear optimization model is constructed by minimizing the deviations between individual judgments and between the width degrees of the interval priority weights. For GDM with IVIFPRs, the decision makers’ weights are generated by combining the adjusted subjective weights with the objective weights. Subsequently, using an IVIF-weighted averaging operator, the collective IVIFPR is obtained and utilized to derive the IVIF priority weights. Finally, a practical example of a supplier selection is analyzed to demonstrate the application of the proposed method. View Full-Text
Keywords: group decision making; interval-valued intuitionistic fuzzy preference relations; linear optimization; additive consistency group decision making; interval-valued intuitionistic fuzzy preference relations; linear optimization; additive consistency
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Zhuang, H. Additively Consistent Interval-Valued Intuitionistic Fuzzy Preference Relations and Their Application to Group Decision Making. Information 2018, 9, 260.

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