Weighted hesitant bipolar-valued fuzzy soft set in decision-making

Abstract

In this research work, we have introduced a new notion of weighted hesitant bipolar-valued fuzzy soft set (WHBFSS) as a generalization of hesitant bipolar-valued fuzzy soft set (HBFSS), and we examine some of its fundamental properties in detail. We’ve also defined some novel notions of the root mean square difference operator (RMSDO), root mean square difference score matrix (RMSDSM), and weighted score, and using these novel notations, we have proposed an advanced and adjustable decision-making method (DMM) for solving real-life decision-making problems (DMPs) based on both HBFSS and WHBFSS. A real-life example is provided to demonstrate the validity of our suggested method. Finally, a comparative analysis of our approach with an existing method is provided.

Keywords

• decision-making
• soft set
• fuzzy set
• hesitant fuzzy set
• bipolar fuzzy set