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Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 2874954, 13 pages
https://doi.org/10.1155/2017/2874954
Research Article

An Intuitionistic Fuzzy Stochastic Decision-Making Method Based on Case-Based Reasoning and Prospect Theory

1College of Economics and Management, Jiangsu University of Science and Technology, Zhenjiang, Jiangsu 212003, China
2School of Computer Science and Informatics, De Montfort University, The Gateway, Leicester LE1 9BH, UK
3College of Mathematic Sciences, Yangzhou University, Jiangsu 225002, China

Correspondence should be addressed to Cuiping Wei

Received 23 January 2017; Revised 23 March 2017; Accepted 30 March 2017; Published 24 April 2017

Academic Editor: Franck Massa

Copyright © 2017 Peng Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.