Grey Multi-attribute Risk Decision-Making Method and Its Application

ZHANG Jin-bo; SHI Ming-hua; LI Xiao-ran

doi:10.12152/j.issn.1672-2868.2019.03.005

Journal of Chaohu University >

2019 , Vol. 21 >Issue 3: 28 - 33

DOI: https://doi.org/10.12152/j.issn.1672-2868.2019.03.005

Grey Multi-attribute Risk Decision-Making Method and Its Application

ZHANG Jin-bo ,
SHI Ming-hua ,
LI Xiao-ran

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College of Finance and Mathematics, West Anhui University, Lu'an Anhui 237012

Received date: 2018-10-29

Online published: 2019-05-25

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Abstract

Abstract: In order to solve the problem of grey multi-criteria risk decision -making, a grey random variable ordering method based on expectation theory is presented. This method can reduce the loss of decision making information and improve the decision accuracy. On this basis, this paper gives a method to solve the grey multicriteria risk decision-making problems, where the criteria weights are completely unknown and the criteria values of alternatives are in the form of grey stochastic variables. In this approach, the complementary judgment matrix is obtained by using the proposed ordering method. Through the solution of the non-linear programming model, which is constructed by using the fuzzy complementary matrix method, the order of the alternatives is obtained. The feasibility and validity of this approach are illustrated by an example.

Key words： Key words: grey number; risk decision-making; expectancy theory; grey stochastic variable

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ZHANG Jin-bo , SHI Ming-hua , LI Xiao-ran . Grey Multi-attribute Risk Decision-Making Method and Its Application[J]. Journal of Chaohu University, 2019 , 21(3) : 28 -33 . DOI: 10.12152/j.issn.1672-2868.2019.03.005

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