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An interval-valued intuitionistic fuzzy multiattribute group decision making framework with incomplete preference over alternatives
Abstract:

This article proposes a framework to handle multiattribute group decision making problems with incomplete pairwise comparison preference over decision alternatives where qualitative and quantitative attribute values are furnished as linguistic variables and crisp numbers, respectively. Attribute assessments are then converted to interval-valued intuitionistic fuzzy numbers (IVIFNs) to characterize fuzziness and uncertainty in the evaluation process. Group consistency and inconsistency indices are introduced for incomplete pairwise comparison preference relations on alternatives provided by the decision-makers DMs). By minimizing the group inconsistency index under certain constraints, an auxiliary linear programming model is developed to obtain unified attribute weights and an interval-valued intuitionistic fuzzy positive ideal solution (IVIFPIS). Attribute weights are subsequently employed to calculate distances between alternatives and the IVIFPIS for ranking alternatives. An illustrative example is provided to demonstrate the applicability and effectiveness of this method

Keywords: Multi-attribute group decision making (MAGDM) Interval-valued intuitionistic fuzzy numbers (IVIFNs) Linear programming Group consistency and inconsistency
Author(s): .
Source: Expert Systems with Applications 39 (2012) 13509–13516
Subject: تصمیم گیری
Category: مقاله مجله
Release Date: 2012
No of Pages: 8
Price(Tomans): 0
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