A new linguistic variable in interval type-2 fuzzy entropy weight of a decision making method

Fuzzy linguistic variable has been used extensively in many applications of decision making. However, most of the fuzzy linguistic is defined only on one side which is in positive fuzzy number. This paper aims to propose a new linguistics variable which considers both sides which are positive and negative fuzzy numbers. This new linguistic variable is developed in terms of interval type-2 fuzzy set for solving unknown interval type-2 entropy weight of interval type-2 fuzzy TOPSIS method. Moreover, a modified distance measure is performed in tandem with the new fuzzy linguistic variable. An example is used to illustrate the proposed method. The results show that the new method is almost consistent with the other method thereby would offers a new dimension to type-2 fuzzy group decision-making environment. (C) 2013 The Authors. Published by Elsevier B.V.