This book investigates the properties of bitopological spaces generated by non-symmetric functions, specifically probabilistic quasi-pseudo-metrics and fuzzy quasi-pseudo-metrics. These functions are generalizations of classical quasi-pseudo metrics, and their application to bitopological spaces forms the core of the study. The authors provide foundational notions and results from deterministic and symmetric theory for context and comparison. The work aims to extend understanding of topological and probabilistic structures by exploring these generalized metric spaces.

The book presents a specialized exploration of advanced mathematical concepts, focusing on the intersection of topology and probability theory. Its content is likely to appeal to researchers and advanced students in these fields who are interested in generalized metric spaces and their properties. The inclusion of foundational material suggests an effort to make the advanced topics accessible to a broader mathematical audience within these disciplines. The work contributes to the ongoing development of non-symmetric topological and probabilistic structures.