Journal
INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS
Volume 8, Issue 3, Pages 591-605Publisher
ATLANTIS PRESS
DOI: 10.1080/18756891.2015.1036224
Keywords
prospect theory; Atanassov's interval-valued intuitionistic fuzzy prospect value; multi-attribute decision making; Atanassov's interval-valued intuitionistic fuzzy set
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Funding
- State Key Program of National Natural Science of China [71431006]
- Funds for Creative Research Groups of China [71221061]
- Projects of Major International Cooperation NSFC [71210003]
- National Natural Science Foundation of China [71201089, 71271217, 71201110, 71271029]
- National Science Foundation for Post-doctoral Scientists of China [2014M560655]
- Program for New Century Excellent Talents in University of China [NCET-12-0541]
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Prospect theory is a very effective method to express behavioral decision making under uncertainty. This paper attempts to develop a method to multi-attribute decision making with Atanassov's interval-valued intuitionistic fuzzy information using prospect theory. This method first transforms Atanassov's interval-valued intuitionistic fuzzy variables into the prospect values using the value function in prospect theory. Based on the aspiration levels, Atanassov's intuitionistic fuzzy prospect gain and loss matrices are obtained. Then, using the Atanassov's interval-valued intuitionistic hybrid weight averaging (IVIHWA) operator or the Atanassov's interval-valued intuitionistic hybrid Shapley weight averaging (IVIHSWA) operator, the comprehensive Atanassov's interval-valued intuitionistic fuzzy prospect value of each alternative is calculated. According to the comprehensive Atanassov's interval-valued intuitionistic fuzzy prospect values, a ranking method of alternatives is presented. Finally, two illustrative examples are selected to show the feasibility and availability of the proposed method.
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