Journal
INFORMATION SCIENCES
Volume 179, Issue 17, Pages 3026-3040Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2009.05.001
Keywords
Multiattribute decision making; Interval-valued intuitionistic fuzzy numbers (IVIFNs); Uncertainty index; Linear programming
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Funding
- Natural Sciences and Engineering Research Council-of Canada (NSERC)
- International & Development Research, Education & Training (IDRET)
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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. (C) 2009 Elsevier Inc. All rights reserved.
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