Journal
EXPERT SYSTEMS WITH APPLICATIONS
Volume 38, Issue 10, Pages 12462-12469Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.eswa.2011.04.027
Keywords
Multi-attribute decision making (MADM); Interval-valued intuitionistic fuzzy numbers (IVIFNs); Fractional programming; Quadratic programming
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Funding
- Natural Science Foundation of Fujian Province of China [2010J01362]
- Natural Sciences and Engineering Research Council of Canada (NSERC)
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This article proposes an approach to handle multi-attribute decision making (MADM) problems under the interval-valued intuitionistic fuzzy environment, in which both assessments of alternatives on attributes (hereafter, referred to as attribute values) and attribute weights are provided as interval-valued intuitionistic fuzzy numbers (IVIFNs). The notion of relative closeness is extended to interval values to accommodate IVIFN decision data, and fractional programming models are developed based on the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) method to determine a relative closeness interval where attribute weights are independently determined for each alternative. By employing a series of optimization models, a quadratic program is established for obtaining a unified attribute weight vector, whereby the individual IVIFN attribute values are aggregated into relative closeness intervals to the ideal solution for final ranking. An illustrative supplier selection problem is employed to demonstrate how to apply the proposed procedure. (C) 2011 Elsevier Ltd. All rights reserved.
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