TOPSIS Method for MADM based on Interval Trapezoidal Neutrosophic Number

TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) is a very common method forMultiple Attribute Decision Making (MADM) problem in crisp as well as uncertain environment. The interval trapezoidal neutrosophic number can handle incomplete, indeterminate and inconsistent information which are generallyoccurred in uncertain environment. In this paper, we propose TOPSIS method for MADM, where the rating valuesof the attributes are interval trapezoidal neutrosophic numbers and the weight information of the attributes are knownor partially known or completely unknown. We develop optimization models to obtain weights of the attributes withthe help of maximum deviation strategy for partially known and completely unknown cases. Finally, we provide anumerical example to illustrate the proposed approach and make a comparative analysis.

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