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Algorithms 2018, 11(11), 182; https://doi.org/10.3390/a11110182

An Algorithm for Interval-Valued Intuitionistic Fuzzy Preference Relations in Group Decision Making Based on Acceptability Measurement and Priority Weight Determination

1
School of Management, Xiamen University, Xiamen 361005, China
2
School of Economics & Management, Fuzhou University, Fuzhou 350116, China
*
Author to whom correspondence should be addressed.
Received: 13 October 2018 / Revised: 2 November 2018 / Accepted: 2 November 2018 / Published: 6 November 2018
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Abstract

Group decision making with intuitionistic fuzzy preference information contains two key issues: acceptability measurement and priority weight determination. In this paper, we investigate the above two issues with respect to multiplicative interval-valued intuitionistic fuzzy preference relation (IVIFPR). Firstly, a consistency index is defined to measure the multiplicative consistency degree of IVIFPR and an optimization model is established to improve the consistency degree of IVIFPR to an acceptable one. Next, in terms of priority weight determination, an error-analysis-based extension method is proposed to obtain priority weight vector from the acceptable IVIFPR. For GDM problems, decision makers’ weights are derived by the proposed multiplicative consistency index. Subsequently, the collective IVIFPR is obtained by using an interval-valued intuitionistic fuzzy (IVIF) weighted averaging operator. Finally, a step-by step algorithm for GDM with IVIFPRs is given, and an example of enterprise innovation partner selection is analyzed, and comparative analyses with existing approaches are performed to demonstrate that the proposed algorithm is both effective and practical in dealing with GDM problems. View Full-Text
Keywords: interval-valued intuitionistic fuzzy preference relations; multiplicative consistency index; group decision making; acceptability measurement; priority weight determination interval-valued intuitionistic fuzzy preference relations; multiplicative consistency index; group decision making; acceptability measurement; priority weight determination
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Zhuang, H.; Tang, Y.; Li, M. An Algorithm for Interval-Valued Intuitionistic Fuzzy Preference Relations in Group Decision Making Based on Acceptability Measurement and Priority Weight Determination. Algorithms 2018, 11, 182.

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