Uncertain Multiattribute Decision-Making Based on Interval Number with Extension-Dependent Degree and Regret Aversion. (27th August 2018)

• Record Type: Journal Article
• Authors: Xu, Libo; Li, Xingsen; Pang, Chaoyi
• Other Names: Lefevre Eric Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2018(2018)
• Publication Date: 2018-08-27
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2018/6508636
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : In view of the uncertainty multiattribute decision-making problem with attribute values and weights both being interval number, a new solution based on regret theory and extension-dependent degree is proposed. It can define pass value of each attribute, which means decision-maker's acceptance for the scheme under the pass value will decline quickly. Then according to traditional regret theory, the method defines an extension-dependent function based on pass value which can improve the flexibility of the traditional utility function and the ability to describe the risk aversion actions from decision-makers. Then the extension-dependent function for interval number is built, and the perceived utility value of each scheme is obtained based on the interval's optimal value. The method can also reflect the decision-maker's reference to high or low evaluation score by setting attitude coefficients. At last, an example is presented to examine the feasibility, effectiveness, and stability of our method.