Journal
APPLIED MATHEMATICAL MODELLING
Volume 38, Issue 7-8, Pages 2101-2117Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2013.10.017
Keywords
Interval-valued intuitionistic fuzzy set; Multiple criteria decision analysis; Extended linear assignment model; Weighted-rank frequency matrix
Funding
- Taiwan National Science Council [NSC 102-2410-H-182-013-MY3]
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The theory of interval-valued intuitionistic fuzzy sets is useful and beneficial for handling uncertainty and imprecision in multiple criteria decision analysis. In addition, the theory allows for convenient quantification of the equivocal nature of human subjective assessments. In this paper, by extending the traditional linear assignment method, we propose a useful method for solving multiple Criteria evaluation problems in the interval-valued intuitionistic fuzzy context. A ranking procedure consisting of score functions, accuracy functions, membership uncertainty indices, and hesitation uncertainty indices is presented to determine a criterion-wise preference of the alternatives. An extended linear assignment model is then constructed using a modified weighted-rank frequency matrix to determine the priority order of various alternatives. The feasibility and applicability of the proposed method are illustrated with a multiple criteria decision-making problem involving the selection of a bridge construction method. Additionally, a comparative analysis with other methods, including the approach with weighted aggregation operators, the closeness coefficient-based method, and the auxiliary nonlinear programming models, has been conducted for solving the investment company selection problem to validate the effectiveness of the extended linear assignment method. (C) 2013 Elsevier Inc. All rights reserved.
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