Computer Science and Information Technology Vol. 3(6), pp. 227 - 232
DOI: 10.13189/csit.2015.030601
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A Grey Stochastic Multi-criteria Decision-making Method Based on Hausdorff Distance

Sha Fu ^*
Department of Information Management, Hunan University of Finance and Economics, China

ABSTRACT

Aiming at stochastic multi-criteria decision problems brought by criterion value with extended grey number, a grey stochastic multi-criteria decision-making method based on Hausdorff distance is proposed. Firstly, definitions, calculation rules and distance formulas of expanded grey number random variables and expectations are given. Then based on grey decision matrix and natural state probability, expectation decision matrix of the extended grey number is obtained. Combined with the weight vector calculation of each criterion, positive and negative ideal solution distance for each program is then obtained. Ultimately, the relative nearness is determined and the programs are sorted depending on the size of value. Through case study, it verifies the feasibility and effectiveness of the proposed method.

KEYWORDS
Extended Grey Number, Grey Stochastic, Hausdorff Distance, Multi-criteria Decision-making, Interval Grey Number

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Sha Fu , "A Grey Stochastic Multi-criteria Decision-making Method Based on Hausdorff Distance," Computer Science and Information Technology, Vol. 3, No. 6, pp. 227 - 232, 2015. DOI: 10.13189/csit.2015.030601.

(b). APA Format:
Sha Fu (2015). A Grey Stochastic Multi-criteria Decision-making Method Based on Hausdorff Distance. Computer Science and Information Technology, 3(6), 227 - 232. DOI: 10.13189/csit.2015.030601.