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In this paper we propose an efficient approach for group multi-criteria decision making (MCDM) based on intuitionistic multi-fuzzy set (IMFS). First we construct intuitionistic multi-fuzzy matrices for decision makers with respect to the criteria (attributes) of the alternatives. Based on intuitionistic multi-fuzzy matrices, we construct the aggregated intuitionistic multi-fuzzy matrix using the proposed intuitionistic multi-fuzzy weighted averaging (IMFWA) operator. Then we use Hamming distance and Euclidean distance measurements in the context of IMFS between the aggregated matrix and the specified sample matrix to reach the optimal decision. This paper also presents score function and accuracy function of IMFS with an application to MCDM. Finally, a real-life case study related to heart disease diagnosis problem is provided to illustrate the advantage of the proposed approach.

Outsourcing is a common trend in information system field in recent decade. Selection of appropriate outsourcing partners is an important goal for multi-national organizations. This study propose a Hybrid algorithm based on the Intuitionistic fuzzy-VIKOR method to evaluate five potential supplier alternatives using five criteria and four decision makers illustrated by a case study. The advantages of the proposed method are highlighted by comparing the result with IF-SIR and IF-TOPSIS methods. The ranking based result provides a reference that assists organizations to improve the efficiency of IS-outsourcing process.

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