Decision-Making Approach with Complex Bipolar Fuzzy N-Soft Sets

Abstract

The primary aim of this article is to extend the bipolar fuzzy $N$ -soft sets with the concern of pursuing the periodicity involved real-world problems and introduce a new multiskilled hybrid model, namely, complex bipolar fuzzy $N$ -soft sets. The novel model possesses the parametric characteristics of the versatile $N$ -soft set and enjoys the distinguished attributes of a complex bipolar fuzzy set to handle the double-sided periodic vague data. We illustrate that the innovative model assists as a proficient mechanism for grading-based parameterized two-dimensional bipolar fuzzy information. We present some elementary operations and results for a complex bipolar fuzzy $N$ -soft environment. Further, we establish the three dexterous algorithms to find the optimal solution to multiattribute decision-making problems. Moreover, the algorithms are supported with the robust assessment of a real-world application. Lastly, a comparison with existent decision-making techniques, such as choice values, weighted choice values, and $\mathcal{D}$ -choice of values of bipolar fuzzy $N$ -soft sets, is also conducted to manifest the phenomenal accountability and authenticity of the presented decision-making approaches.