Some T-Spherical Hesitant Fuzzy Shapley Bonferroni Mean Operators and Their Applications

Abstract

In this paper, some T-spherical hesitant fuzzy Bonferroni mean aggregation operators have been developed by extending the Bonferroni mean to the T-spherical hesitant fuzzy environment. The attribute weights are calculated by using the Shapley function to model interaction by considering the contribution of single attribute to the group attributes. The T-spherical hesitant fuzzy Shapley Bonferroni mean operator and the T-spherical hesitant fuzzy Shapley Dombi Bonferroni mean operator have been developed. Some properties of the new developed T-spherical hesitant fuzzy aggregation operators have been studied and some special cases of the new operators have been proposed. The new multiple attribute decision making method based on the new T-spherical hesitant fuzzy aggregation operators has been presented. The new method is more flexible since the T-spherical hesitant fuzzy values are used in evaluating process and interaction of information has been considered by using the Shapley function. The selection of the shared project investment is given to illustrate the new method.

Keywords

• Multiple attribute decision making
• T-spherical hesitant fuzzy set
• Bonferroni mean
• Shapley value
• Dombi