Vikor method based on the entropy measure for generalized trapezoidal hesitant fuzzy numbers and its application

There are many vague and uncertain issues in real-life. To address these problems, many models and theories have been developed. Entropy is used to express the mathematical values of the fuzziness of generalized hesitant trapezoidal fuzzy numbers (GHTF-numbers) and so it is a measure of the fuzziness of the GHTF-numbers. However, the entropy measures have not been applied to GHTF-numbers. Therefore, in the paper, we introduce the concept of entropy measures for GHTF-number and discuss its desirable properties. Then, we develop a VIKOR method based on the entropy measure for novel multi-criteria decision-making (MCDM) method. In the decision-making framework, the proposed method is not only a way to solve the problem of MCDM, but also contains an important mathematical idea as a different solution approach. We solve an illustrative example of the MCDM method and compare the obtained results with the results of other existing methods. The proposed VIKOR decision-making process is more suitable than the existing ones to deal with uncertain and imprecise information and offers numerous choices to the decision-maker for accessing the infinite alternatives. Furthermore, the result is more significant because the difference between any two values of alternatives is greater.