This book offers a comprehensive review of bipolar complex fuzzy sets theory. It investigates the algebraic structures such as lattices, semigroup, groups, semirings and rings. In turn, it discusses distance measures, similarity measures, correlation coefficient and entropy measures, together with the associated properties for bipolar complex fuzzy sets. Further, it describes the aggregation operators such as Hamy mean operators and power generalized Heronian mean operators in the environment of bipolar complex fuzzy set. Last but not least, it shows an application in supply chain management. The book addresses mathematicians and computer science working with imprecise, unclear information, and set the basis for new applications of fuzzy sets in the field of Intelligent Data-Driven Systems and Artificial Intelligence.