Fuzzy Topology

Fuzzy Topology

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  • 製本 Hardcover:ハードカバー版
  • 言語 ENG
  • 商品コード 9780849324161
  • DDC分類 514

Full Description


Designed for graduate students and research scholars, Fuzzy Topology imparts the concepts and recent developments related to the various properties of fuzzy topology. The author first addresses fundamental problems, then studies the connection between fuzzy topological spaces and topological spaces and introduces fuzzy continuity and product induced spaces. Other topics include fuzzy nets, fuzzy upper and lower limits, fuzzy convergence, and fuzzy metric spaces. The treatment introduces the concept of fuzzy compactness before moving to initial and final topologies and the fuzzy Tychnoff theorem. The final sections cover connectedness, complements, separation axioms, and uniform spaces.

Contents

Preface. Acknowledgements. Fuzzy Topological Spaces. Fuzzy Product Induced Spaces. Fuzzy Nets and Fuzzy Convergence. Fuzzy Metric Spaces. Fuzzy Compact Spaces. Initial and Final Fuzzy Topologies and the Fuzzy Tychonoff Theorem. Connectedness in Fuzzy Topological Spaces. Fuzzy Separation. Product Spaces. Fuzzy Uniform Spaces. Index. References.