Fuzzy-TISM: A Fuzzy Extension of TISM for Group Decision Making

This paper proposes Fuzzy-TISM, approach for group decision making process. The proposed approach is a fuzzy extension of TISM, which is a multi-criteria decision making technique. TISM is an effective technique and is applied widely to identify relationships among different criteria by creating a comprehensive systematic model of directly and indirectly related criteria. The proposed Fuzzy-TISM approach consolidates the process of group preference aggregation in the fuzzy environment, which can be easily applied to any real world group decision making problem. The proposed approach is a novel attempt to integrate TISM approach with the fuzzy sets. The integration of TISM with fuzzy sets provides flexibility to decision makers to further understand the level of influences of one criteria over another, which was earlier present only in the form of binary (0,1) numbers. 0 represents no influence and 1 represents influence. Due to this, the decision maker is left with only the option of saying 0 or 1 irrespective of the level of influence whether it is low, high, or very high. The proposed Fuzzy-TISM approach take care of this issue and gives a wider flexibility to express the level of influence using fuzzy numbers. The working methodology of proposed Fuzzy-TISM is demonstrated through an illustrative example based on vendor selection.

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