A New Multi Attribute Decision Making Method Based on the T-Spherical Hesitant Fuzzy Sets

Abstract

In this paper, we first introduce the concept of T-spherical hesitant fuzzy set (T-SHFS) on the basis of the combination of T-spherical fuzzy sets (T-SFSs) and hesitant fuzzy sets (HFSs). This model can provide more accuracy in expressing fuzzy and indeterminate data. Then, we develop the basic operational laws of T-SHFSs and study their properties. Also, we propose the T-spherical hesitant fuzzy weighted averaging (T-SHFWA) operator and the T-spherical hesitant fuzzy weighted geometric (T-SHFWG) operator and investigate their properties. Furthermore, two newly approaches to multi attribute decision making within the framework of T-SHFS are developed on the basis of the proposed aggregation operators. An illustrative example is given to demonstrate the effectiveness of the developed approaches in dealing with uncertain and indeterminate decision making problems. Finally, the proposed models’ performance is evaluated to the existing models. Results from this comparison analysis reveal a great similarity and consistency while using other models.

Keywords

• Aggregation operators
• hesitant fuzzy set
• MADM
• spherical fuzzy set
• T-spherical fuzzy set