Bipolar Complex Fuzzy Soft Sets and Their Applications in Decision-Making

This article introduces the notion of bipolar complex fuzzy soft set as a generalization of bipolar complex fuzzy set and soft set. Furthermore, this article contains elementary operations for bipolar complex fuzzy soft sets such as complement, union, intersection, extended intersection, and related properties. The OR and AND operations for bipolar complex fuzzy soft set are also initiated in this study. Moreover, this study contains the decision-making algorithm and real-life examples to display the success and usability of bipolar complex fuzzy soft sets. Finally, the comparative study of initiated notions with some prevailing ideas are also interpreted in this study.

Automated summary

This article introduces the concept of bipolar complex fuzzy soft set as a generalization of bipolar complex fuzzy set and soft set, and explores its basic operations, properties, decision-making algorithm, and real-life examples, as well as its comparative study with other related concepts.