A Novel Method of Linguistic Topsis for DMSS Technique

This paper extends the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) for solving multi-attribute group decision making (MAGDM) problems under trapezoidal fuzzy linguistic variables. In situations where the information or the data is of the form of trapezoidal fuzzy linguistic numbers (TFLNs), some arithmetic aggregation operators have to be defined, namely the Trapezoid Fuzzy Linguistic Weighted Harmonic Averaging (TFLWHA)operator, Trapezoid Fuzzy Linguistic Ordered Weighted Harmonic Averaging (TFLOWHA) operator and Trapezoid Fuzzy Linguistic Hybrid Harmonic Averaging(TFLHHA) operator. A new method for determining decision maker?s weights is also proposed in the paper, which is used to determine the best alternative. An extended TOPSIS model is developed to solve the MAGDM problems using a new algorithm and an illustration is given