On Nonsymmetric Topological And Probabilistic Structures

Download or read book On Nonsymmetric Topological and Probabilistic Structures written by Yeol Je Cho and published by Nova Publishers. This book was released on 2006 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, generally speaking, some properties of bitopological spaces generated by certain non-symmetric functions are studied. These functions, called "probabilistic quasi-pseudo-metrics" and "fuzzy quasi-pseudo-metrics", are generalisations of classical quasi-pseudo metrics. For the sake of completeness as well as for convenience and easy comparison, most of the introductory paragraphs are mainly devoted to fundamental notions and results from the classical -- deterministic or symmetric -- theory.