Multi-attribute grey target decision method with three-parameter interval grey number. Issue 2 (1st August 2016)

• Record Type: Journal Article
• Authors: Li, Ye; Zhu, Shanli; Guo, San-dang
• Is Part Of: Grey systems. Volume 6:Issue 2(2016)
• Page Start: 270
• Page End: 280
• Publication Date: 2016-08-01
• Subjects: Comprehensive bull's-eye distance -- Grey target -- Multi-attribute decision -- Three-parameter interval grey number; Cybernetics -- Periodicals; Systems engineering -- Periodicals; 003.5
• DOI: 10.1108/GS-05-2016-0010
• Languages: English
• ISSNs: 2043-9377

Abstract

Abstract : Purpose: – The purpose of this paper is to propose the grey target decision method based on three-parameter interval grey number for dealing with multi-attribute decision-making problems under uncertain environment. Design/methodology/approach: – First, the kernel and ranking method of three-parameter interval grey number are defined, which is the basis of determining the positive and negative bull's-eye. Next, a new distance measure of three-parameter interval grey number is defined in view of the importance of the "center of gravity" point. Furthermore, a new comprehensive bull's-eye distance is proposed based on the kernel which integrates the distance between different attributes to the positive and negative bull's-eye. Then attribute weights are obtained by comprehensive bull's-eye distance minimum and grey entropy maximization. Findings: – The paper provides a grey target decision method based on three-parameter interval grey number and example analysis shows that the method proposed in this paper is more reasonable and effective. Research limitations/implications: – If we have a better understanding of the distribution characteristics of three-parameter interval grey number, it is possible to have a more reasonable measure of the distance of three-parameter interval grey number. Practical implications: – The paper provides a grey target decision method, which can help decision maker deal with multi-attribute decision-making problems under uncertain environment. Originality/value: – This paper proposed the kernel and ranking method of three-parameter interval grey number, and defined a new distance measure of three-parameter interval grey number and proposed a new comprehensive bull's-eye distance, Furthermore, this paper structured a grey target decision method based on three-parameter interval grey number.