Multi-criteria decision making problem for evaluating ERP system using entropy weighting approach and q-rung orthopair fuzzy TODIM

The q-rung orthopair fuzzy set theory is a flexible tool for dealing with the ambiguity of human judgements information as compared to the fuzzy, Atanassov intuitionistic fuzzy and Pythagorean fuzzy models. However, there is very few investigation for the entropy measure of q-rung orthopair fuzzy sets. Therefore, this paper firstly proposed a new entropy measure for q-rung orthopair fuzzy set along with their elegant properties. By changing the parameter q, \(q\ge 1\), q-rung orthopair fuzzy set can adjust the range of indication of decision information. Based on the proposed entropy measure, we proposed a new method to deal with MCDM problems under the q-rung orthopair fuzzy environment where the information about criteria weights is are partially known. We extend the TODIM (an Acronym in Portuguese of interactive and multicriteria decision making) approach for solving the multi-criteria decision-making problems (MCDM) where the behaviour of specialists are taken into account and elements of a set are interdependent. In addition, a numerical example is provided in solving real-life problems to illustrate the highlight of this study. The experimental and comparative results show the effectiveness and flexibility of the developed approach in solving real-life problems.