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

  • Authors:

  • Zhou-Jing Wang;Kevin W. Li

  • Affiliations:

  • School of Information, Zhejiang University of Finance & Economics, Hangzhou, Zhejiang 310018, China and School of Computer Science and Engineering, Beihang University, Beijing 100083, China;Odette School of Business, University of Windsor, Windsor, Ontario, Canada N9B 3P4

  • Venue:
  • Expert Systems with Applications: An International Journal
  • Year:
  • 2012

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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.