Fuzzy Topology

Fuzzy set theory provides us with a framework which is wider than that of classical set theory. Various mathematical structures, whose features emphasize the effects of ordered structure, can be developed on the theory. Fuzzy topology is one such branch, combining ordered structure with topological structure. This branch of mathematics, emerged from the background — processing fuzziness, and locale theory, proposed from the angle of pure mathematics by the great French mathematician Ehresmann, comprise the two most active aspects of topology on lattice, which affect each other.

This book is the first monograph to systematically reflect the up-to-date state of fuzzy topology. It emphasizes the so-called "pointed approach" and the effects of stratification structure appearing in fuzzy sets.

The monograph can serve as a reference book for mathematicians, researchers, and graduate students working in this branch of mathematics. After an appropriate rearrangements of the chapters and sections, it can also be used as a text for undergraduates.

Table des matières

Lattices and operations on lattices; fuzzy topological spaces; operations on fuzzy topological spaces; convergence theory; connectedness; some properties related to gardinals; separation (I); separation (II); compactness; compactification; paracompactness; metrizability; uniformity; proximity; function spaces; relation between fuzzy topological spaces and locales.

Détails du produit

• Auteurs: Liu, Ying-ming Liu, Liu Ying-Ming & Luo Mao-Kang, Mao-kang Luo
• Edition: Ingram Publishers Services
• Langues: Anglais
• Format d'édition: Livre Relié
• Sortie: 28.02.1998
• EAN: 9789810228620
• ISBN: 978-981-02-2862-0
• Thèmes: Series on Neutron Techniques a; Advances in Fuzzy Systems-Appl; Advances In Fuzzy Systems-applications And Theory
• Catégories: Sciences naturelles, médecine, informatique, technique > Mathématiques > Général, dictionnaires; MATHEMATICS / Set Theory, Set theory, Fuzzy set theory