The multiple attribute decision model of grey targets based on grey potential degree. Issue 3 (6th November 2017)

• Record Type: Journal Article
• Authors: Ruan, Aiqing; Wang, Yinao
• Is Part Of: Grey systems. Volume 7:Issue 3(2017)
• Page Start: 365
• Page End: 375
• Publication Date: 2017-11-06
• Subjects: Grey models for decision making -- Practical applications of grey models -- Grey target -- Grey potential degree -- Multi-attribute; Cybernetics -- Periodicals; Systems engineering -- Periodicals; 003.5
• DOI: 10.1108/GS-07-2017-0021
• Languages: English
• ISSNs: 2043-9377

Abstract

Abstract : Purpose: Grey target decision making is one of the important problems of decision-making theory. It is critical to express uncertain information effectively and depose them in a reasonable and simple way. The purpose of this paper is to solve the grey target problem by the grey potential degree method without whiten value and without distribution function. Furthermore, this new approach has an advantage of realizing both comparing and standardization work during the process of treating the data. Design/methodology/approach: First, this paper makes a brief overview of the existing method for grey target decision. Then, the conception of a grey potential degree system is introduced and the conception of standard grey potential degree is build up, and a new grey potential-based method based on the grey target multiple attribute decision method is proposed. At the same time, the standard grey potential and its application in multiple resource data are studied. Findings: At the same time the standard grey potential and its application in multiple resource data are studied. Standard grey potential is presented by means of three examples together with the comparison with the existing method to demonstrate that the grey potential-based method could be used to solve the problem of grey target decision conveniently and effectively. Originality/value: It is very important to compare grey numbers to obtain scientific and reasonable results for a grey target decision-making problem. However, in the actual application of grey numbers, it is difficult to find out the probability density function or the whiten function of grey numbers. When grey numbers are compared and deposed through the whiten value, much information regarding grey numbers will be lost and, at the same time, the value of grey numbers in uncertainty is partly lost. The method discussed in this paper is reasonable and feasible.