An Approach Toward Pattern Recognition and Decision-Making Using the Concept of Bipolar T-Spherical Fuzzy Sets

The basic aim of this study is to introduce an innovative concept of bipolar T-spherical fuzzy set (BTSFS) which is a hybrid structure of bipolar fuzzy set (BFS) and T-spherical fuzzy Set (TSFS). BTSFS is a unique type of fuzzy set that works with bipolarity of all membership grades (MGs), that is, truth MG, abstained MG and non-membership grade (NMG). This paper scrutinizes a few basic characteristics and essential operations of BTSFSs. The proposed results are compared with the existing fuzzy structures and also the importance of the proposed work is discussed. Further, the idea of new distance measures of BTSFSs has been presented to investigate the geometrical properties of BPFSs. An example related to pattern recognition (PR) based on new distance measures have been examined in the article. Furthermore, some new similarity measures (SMs) based on BTSFSs such as Dice SM and weighted Dice SM have been initiated. We have also studied the propositions related to proposed SMs. A multi-criteria decision-making (MCDM) method based on proposed SMs for BSTSFSs has also been presented in this article. Then, in the end, to check capability and viability, a practical demonstration of the planned approach has also been explained.