Journal
MATHEMATICAL PROBLEMS IN ENGINEERING
Volume 2017, Issue -, Pages -Publisher
HINDAWI LTD
DOI: 10.1155/2017/2874954
Keywords
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Funding
- National Natural Science Foundation of China [71401064, 71371107]
- Leverhulme Trust International Network [IN-2014-020]
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According to the case-based reasoning method and prospect theory, this paper mainly focuses on finding a way to obtain decision-makers' preferences and the criterion-weights for stochastic multicriteria decision-making problems and classify alternatives. Firstly, we construct a new score function for an intuitionistic fuzzy number (IFN) considering the decision-making environment. Then, we aggregate the decision-making information in different natural states according to the prospect theory and test decision-making matrices. A mathematical programming model based on a case-based reasoning method is presented to obtain the criterion weights. Moreover, in the original decision-making problem, we integrate all the intuitionistic fuzzy decision-making matrices into an expectation matrix using the expected utility theory and classify or rank the alternatives by the case-based reasoning method. Finally, two illustrative examples are provided to illustrate the implementation process and applicability of the developed method.
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