A new qualitative evaluation for an integrated interval type-2 fuzzy topsis and mcgp

Abstract

Sometimes, information needed an objectively evaluation. It is hard to determine the value of some parameters because of their uncertain or ambiguous nature. However, most of the study neglected the qualitative evaluation. This paper aims to propose a new qualitative evaluation which considers three different aspects which are linguistic to crisp, the unconvinced decision and in between. This new qualitative evaluation is developed to produce an optimal preference ranking of an integrated fuzzy TOPSIS and multi-choice goal programming MCGP in interval type-2 fuzzy sets (IT2 FSs) aspects. An example is used to illustrate the proposed method. The results show that the qualitative evaluation in the new method is suitable for the integrated interval type-2 fuzzy TOPSIS and MCGP. Results are consistent with the numerical example. This new method offers a new dimension to type-2 fuzzy group decision-making environment.