Extension Dependent Degree Method with Mapping Transformation for Three-Parameter Interval Number Decision Making. (12th September 2018)

• Record Type: Journal Article
• Authors: Xu, Li-Bo; Li, Xing-Sen; Shao, Jun-kai; Wang, Kai-jie
• Other Names: Llopis-Albert Carlos Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2018(2018)
• Publication Date: 2018-09-12
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2018/1831086
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : In view of the multiattribute decision making problem that the attribute values and weights are both three-parameter interval numbers, a new decision making approach and framework based on extension simple dependent degree are proposed. According to traditional extension simple dependent function, the new approach proposes a new extension dependent function for three-parameter interval number. Then through an interval mapping transformation method, the process for obtaining dependent degree for the interval with its optimal value not being the endpoint is transformed to the monotonous process for the interval with its optimal value being the endpoint. The method can not only perform uncertain analysis of decision results by different settings of attitude coefficients, but also take dynamic analysis and rule finding by some extension transformation. At last, an example is presented to examine the effectiveness and stability of our method.