An approach to multiattribute decision making with interval-valued intuitionistic fuzzy assessments and incomplete weights

  • Authors:

  • Zhoujing Wang;Kevin W. Li;Weize Wang

  • Affiliations:

  • Department of Automation, Xiamen University, Xiamen, Fujian 361005, China;Odette School of Business, University of Windsor, Windsor, Ontario, Canada N9B 3P4;Department of Automation, Xiamen University, Xiamen, Fujian 361005, China

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2009

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Abstract

This article proposes an approach to multiattribute decision making with incomplete attribute weight information where individual assessments are provided as interval-valued intuitionistic fuzzy numbers (IVIFNs). By employing a series of optimization models, the proposed approach derives a linear program for determining attribute weights. The weights are subsequently used to synthesize individual IVIFN assessments into an aggregated IVIFN value for each alternative. In order to rank alternatives based on their aggregated IVIFN values, a novel method is developed for comparing two IVIFNs by introducing two new functions: the membership uncertainty index and the hesitation uncertainty index. An illustrative investment decision problem is employed to demonstrate how to apply the proposed procedure and comparative studies are conducted to show its overall consistency with existing approaches.