Journal
MATHEMATICAL AND COMPUTER MODELLING
Volume 53, Issue 5-6, Pages 1182-1196Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mcm.2010.11.088
Keywords
Multiattribute decision making; Fuzzy set; Intuitionistic fuzzy set; Generalized ordered weighted averaging operator; Uncertainty modelling; Algorithm
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Funding
- Natural Science Foundation of China [70871117, 70902041]
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The aim of this paper is to develop a methodology for solving multiattribute decision making (MADM) problems in which weights of attributes and ratings of alternatives on qualitative and quantitative attributes are expressed with intuitionistic fuzzy sets (IFSs). In this methodology, relative membership/satisfaction and non-membership/non-satisfaction degrees are formulated to construct IFSs for numerical values of alternatives on quantitative attributes. Alternatives on qualitative attributes are evaluated using linguistic variables and semantics which are parameterized by IFSs. Hereby, weights and ratings of alternatives on both qualitative attributes and quantitative attributes may be expressed with IFSs in a unified way. The generalized ordered weighted averaging (GOWA) operator is further extended to the situations in which the argument values are IFSs and thus a methodology is developed to solve MADM problems using IFSs. Validity and applicability of the proposed methodology in this paper are illustrated with a real numerical example. (C) 2010 Elsevier Ltd. All rights reserved.
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