Gene

Usability

Fuzzy classification

Engineering

Aerospace engineering

Fuzzy set operations

Theoretical computer science

Complement (music)

Set (abstract data type)

Biochemistry

Computer science

Fuzzy set

Complementation

Mathematics

Fuzzy logic

Mathematical analysis

Artificial intelligence

Soft set

Chemistry

Programming language

Intersection (aeronautics)

Generalization

Human–computer interaction

Phenotype

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.

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