Technical gazette, Vol. 27 No. 5, 2020.
Original scientific paper
https://doi.org/10.17559/TV-20200601165833
Method of Group Decision Making with Interval Grey Numbers based on Grey Correlation and Relative Close Degree
Dan Liu
; 1) School of Economics and Management, Chang'an University, Xi'an 710064, China; 2) Freight Mobility Research Institute, Department of Civil, Environmental, and Geomatics Engineering, Florida Atlantic University, Boca Raton, FL, 33431, USA
Bin Hu
; School of Automation, Northwestern Polytechnical University, Xi'an 710064, China
Zhuo Ding
; School of Automation, Northwestern Polytechnical University, Xi'an 710064, China
Evangelos I. Kaisarb
; Freight Mobility Research Institute, Department of Civil, Environmental, and Geomatics Engineering, Florida Atlantic University, Boca Raton, FL, 33431, USA
Abstract
With the development of society, big data's concept is mentioned more and more. However, in the numerous and complex mass data, the effective information is often very limited, and the data often show the complex characteristics of "close and orderly short-term correlation and large long-term disturbance", which is difficult to be expressed by a long sequence composed of a single real value. This paper takes the interval grey number as the research object for the uncertain system of "less data and poor information". According to the multi-attribute group decisions problem with attribute’s values of interval grey number and the weights of decision-makers and attributes that are completely unknown, a method of group decision making with interval grey numbers based on grey correlation and relative close degree is proposed. For the purpose of making effective decisions, the weights of decision-makers and attributes are calculated by correlation degree of decision information which is measured by the model of grey correlation analysis based on interval grey number deviation degree. On this basis, the correlation degree between the scheme and the positive and negative ideal schemes are computed, and then the grey correlation and relative close degree of the scheme is calculated. Finally, the scheme is sorted according to the value of the grey correlation and relative close degree. The rationality and feasibility of the proposed method are verified by numerical examples.
Keywords
grey decision making; group decision making; interval grey number; weight analysis
Hrčak ID:
244777
URI
Publication date:
17.10.2020.
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