Extension of VIKOR Method for Multi-Attribute Group Decision Making with Interval-Valued Intuitionistic Fuzzy Assessments and Incomplete Weights

Abstract:

In this paper, we investigate the multi-attribute group decision making (MAGDM) problems in which all the information provided by the decision makers is presented as interval-valued intuitionistic fuzzy decision matrices where each of the elements is characterized by interval-valued intuitionistic fuzzy number (IVIFN), and the information about attribute weights is partially known. First, we utilize the induced interval-valued intuitionistic fuzzy hybrid averaging (I-IIFHA) operator to aggregate all individual interval-valued intuitionistic fuzzy decision matrices provided by the decision makers into a collective interval-valued intuitionistic fuzzy decision matrix. Based on the basic ideal of traditional VIKOR method, we establish an optimization model to determine the weights of attributes. Then, calculation steps based on the collective interval-valued intuitionistic fuzzy decision matrix and traditional VIKOR method for solving the MAGDM problems with interval-valued intuitionistic fuzzy assessments and partially known weight information are given. Finally, a numerical example is used to illustrate the applicability of the proposed approach.

• Periodical: Applied Mechanics and Materials (Volumes 513-517)
• Pages: 725-728
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.513-517.725
• Online since: February 2014
• Authors: Chen Guang Xu*
• Keywords: Induced Interval-Valued Intuitionistic Fuzzy Hybrid Averaging (I-IIFHA) Operator, Interval-Valued Intuitionistic Fuzzy Decision Matrix, Interval-Valued Intuitionistic Fuzzy Numbers (IVIFNs), Multi-Attribute Group Decision Making (MAGDM), VIKOR

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