Uncertain Linguistic Multi-Attribute Group Decision Making Method with Multi-Granularity Based on Projection and Dominance Degree

Abstract:

In order to solve multiple attribute group decision making problems with multi-granularity uncertain linguistic assessment information, where the information of attribute weights are incomplete, a group decision making method based on projection and dominance degree is proposed. Firstly, the uncertain linguistic evaluation matrices with multi-granularity are transformed to two-tuple decision matrices according to the continuous interval two-tuple ordered weighted harmonic (ITC-OWH) operator. By using projection method, a goal programming model is set up to determine the attribute weights vector of individual decision maker. Then, integrative attribute dominance degree between pairwise comparisons of arbitrary alternatives are computed, a group integrative dominance degree matrix is obtained based on integrative dominance degree matrices and expert weight vector. The priority-time matrix is given to calculate the general priority time of alternatives, consequently, the rank result of alternatives can be determined.

• Periodical: Applied Mechanics and Materials (Volume 722)
• Pages: 386-389
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.722.386
• Online since: December 2014
• Authors: Er Dong Han*, Peng Guo
• Keywords: Dominance Degree, Multi-Granularity, Multiple Attribute Group Decision Making, Projection, Uncertain Linguistic Variable

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