Abstract
AbstractProspect 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 il...
Highlights
Because of the highly complex social and economic environment, the decision information of alternatives is usual incompletely known
Atanassov's interval-valued intuitionistic fuzzy sets (IVIFSs) [8], as an important extending form of Zadeh’s fuzzy sets, have received considerable attentions, which are characterized by an interval membership function and an interval non-membership function
As Beliakov et al [16] pointed for Atanassov's intuitionistic fuzzy numbers (IFNs), there are some undesirable properties of the opera
Summary
Because of the highly complex social and economic environment, the decision information of alternatives is usual incompletely known. Besides the aggregation operators on IVIFSs, many researchers devoted themselves to decision making with Atanassov's interval-valued intuitionistic fuzzy information [19,20,21,22,23] and applied the Atanassov's interval-valued intuitionistic fuzzy theory in many fields [24,25,26,27,28]. There are few researches about the application of prospect theory to Atanassov's interval-valued intuitionistic fuzzy multi-attribute decision making problems. The purpose of this paper is to analyze a method to multi-attribute decision making with Atanassov's interval-valued intuitionistic fuzzy information problems using prospect theory, which considers the decision makers’ attitudes for gains and losses. A method to multi-attribute decision making with Atanassov's interval-valued intuitionistic fuzzy information based on prospect theory is developed.
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