An extended GRA method for MCDM with interval-valued triangular fuzzy assessments and unknown weights

Authors:
Shi-fang Zhang;San-yang Liu;Ren-he Zhai
Affiliations:
School of Computer Science and Technology, Xidian University, Xi'an, Shaanxi 710071, China and Department of Management, Shaanxi University of Technology, Hanzhong, Shaanxi 723000, China;Department of Mathematics, Xidian University, Xi'an, Shaanxi 710071, China;School of Mechanical Engineering, Shaanxi University of Technology, Hanzhong, Shaanxi 723000, China
Venue:
Computers and Industrial Engineering
Year:
2011

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Abstract

Multiple criteria decision making (MCDM) is the process of ranking the feasible alternatives and selecting the best one by considering multiple criteria. Owing to the complexity, fuzziness and uncertainties of the objective things, the criterion values often take the form of linguistic variables, which can be expressed in interval-valued triangular fuzzy numbers. The purpose of this paper is to develop an extended grey relational analysis (GRA) method for solving MCDM problems with interval-valued triangular fuzzy numbers and unknown information on criterion weights. In order to determine the criterion weights, some optimization models based on the basic idea of traditional GRA method are established. Then, calculation steps of extended GRA method for MCDM are given. Finally, a numerical example is shown to verify the developed method and to demonstrate its practicality and feasibility.