An Intuitionistic Fuzzy Stochastic Decision-Making Method Based on Case-Based Reasoning and Prospect Theory. (24th April 2017)

• Record Type: Journal Article
• Authors: Li, Peng; Yang, Yingjie; Wei, Cuiping
• Other Names: Massa Franck Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2017(2017)
• Publication Date: 2017-04-24
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2017/2874954
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : 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.