An extension of the TOPSIS for multi-attribute group decision making under neutrosophic environment

Neutrosophic set as a generalization of the classical fuzzy sets and intuitionistic fuzzy sets is an effective tool to deal with inconsistent, imprecise and vague information. TOPSIS is a multiple attribute method to identify solutions from a finite set of alternatives based upon simultaneous minimization of distance from an ideal point and maximization of distance from a nadir point. In this paper, we first develop a new Hamming distance between single-valued neutrosophic numbers and then present an extension of the TOPSIS method for multi-attribute group decision-making (MAGDM) based on single-valued neutrosophic sets, where the information about attribute values and attribute weights are expressed by decision-makers based on neutrosophic numbers. 2010 Mathematics Subject Classification: 90B50; 35M10

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