Authors : Z. Nurnadiah and A. Lazim
Abstract: An extension of Interval Type-2 Fuzzy Sets (IT2FS), to a group decision environment which is fuzzy TOPSIS is investigated where the new weighting part of this method is developed. The objective of this study is to develop a new weighting method based on the idea of IT2FS in fuzzy TOPSIS with the Rasch Model. Rasch Model is one of the simplest methods in Item Response Theory (IRT). The Rating Scale Model (RSM) devised by Andrich in 1978 apples Rasch’s Model to polytomous rating scale instruments which include the five-point Likert scale. Thus, ranking of the highest causes of road accidents are adapted to demonstrate the feasibility of the new method. Results show that this method provides us with a useful way to handle the fuzzy multiple attribute group decision-making problems in a more flexible and more intelligent manner due to the fact that it uses interval type-2 fuzzy sets rather than traditional type-1 fuzzy sets to represent the evaluating values and the weights of attributes.
Z. Nurnadiah and A. Lazim , 2012. Weight of Interval Type-2 Fuzzy Rasch Model in Decision Making Approach: Ranking Causes Lead of Road Accident Occurrence. International Journal of Soft Computing, 7: 1-11.