Grey Situation Group Decision-Making Method Based on Prospect Theory

This paper puts forward a grey situation group decision-making method on the basis of prospect theory, in view of the grey situation group decision-making problems that decisions are often made by multiple decision experts and those experts have risk preferences. The method takes the positive and ne...

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Main Authors: Na Zhang, Zhigeng Fang, Xiaqing Liu
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/703597
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author Na Zhang
Zhigeng Fang
Xiaqing Liu
author_facet Na Zhang
Zhigeng Fang
Xiaqing Liu
author_sort Na Zhang
collection DOAJ
description This paper puts forward a grey situation group decision-making method on the basis of prospect theory, in view of the grey situation group decision-making problems that decisions are often made by multiple decision experts and those experts have risk preferences. The method takes the positive and negative ideal situation distance as reference points, defines positive and negative prospect value function, and introduces decision experts’ risk preference into grey situation decision-making to make the final decision be more in line with decision experts’ psychological behavior. Based on TOPSIS method, this paper determines the weight of each decision expert, sets up comprehensive prospect value matrix for decision experts’ evaluation, and finally determines the optimal situation. At last, this paper verifies the effectiveness and feasibility of the method by means of a specific example.
format Article
id doaj-art-8515789226b7402b8ec9222ee9f2599d
institution Kabale University
issn 2356-6140
1537-744X
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series The Scientific World Journal
spelling doaj-art-8515789226b7402b8ec9222ee9f2599d2025-02-03T01:22:14ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/703597703597Grey Situation Group Decision-Making Method Based on Prospect TheoryNa Zhang0Zhigeng Fang1Xiaqing Liu2Corps Financial Development Research Center, Shihezi University, Wujiaqu 831300, ChinaCollege of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaCollege of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaThis paper puts forward a grey situation group decision-making method on the basis of prospect theory, in view of the grey situation group decision-making problems that decisions are often made by multiple decision experts and those experts have risk preferences. The method takes the positive and negative ideal situation distance as reference points, defines positive and negative prospect value function, and introduces decision experts’ risk preference into grey situation decision-making to make the final decision be more in line with decision experts’ psychological behavior. Based on TOPSIS method, this paper determines the weight of each decision expert, sets up comprehensive prospect value matrix for decision experts’ evaluation, and finally determines the optimal situation. At last, this paper verifies the effectiveness and feasibility of the method by means of a specific example.http://dx.doi.org/10.1155/2014/703597
spellingShingle Na Zhang
Zhigeng Fang
Xiaqing Liu
Grey Situation Group Decision-Making Method Based on Prospect Theory
The Scientific World Journal
title Grey Situation Group Decision-Making Method Based on Prospect Theory
title_full Grey Situation Group Decision-Making Method Based on Prospect Theory
title_fullStr Grey Situation Group Decision-Making Method Based on Prospect Theory
title_full_unstemmed Grey Situation Group Decision-Making Method Based on Prospect Theory
title_short Grey Situation Group Decision-Making Method Based on Prospect Theory
title_sort grey situation group decision making method based on prospect theory
url http://dx.doi.org/10.1155/2014/703597
work_keys_str_mv AT nazhang greysituationgroupdecisionmakingmethodbasedonprospecttheory
AT zhigengfang greysituationgroupdecisionmakingmethodbasedonprospecttheory
AT xiaqingliu greysituationgroupdecisionmakingmethodbasedonprospecttheory