Mathematics of fuzzy sets : logic, topology, and measure theory

Title
  1. Mathematics of fuzzy sets : logic, topology, and measure theory / edited by Ulrich Höhle and Stephen Ernest Rodabaugh.
Published by
  1. Boston : Kluwer Academic Publishers, ©1999.

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StatusFormatTextAccessUse in libraryCall numberQA248.5 .M37 1999Item locationOff-site

Details

Additional authors
  1. Höhle, Ulrich
  2. Rodabaugh, Stephen Ernest
Description
  1. 716 pages : illustrations; 25 cm.
Series statement
  1. The handbooks of fuzzy sets series ; 3
Uniform title
  1. Handbooks of fuzzy sets series ; FSHS 3.
Subject
  1. Fuzzy sets
  2. Fuzzy mathematics
  3. Fuzzy-Topologie
  4. Fuzzy-Mass
  5. Fuzzy-Logik
Contents
  1. 1. Many-valued logic and fuzzy set theory / S. Gottwald -- 2. Powerset operator foundations for poslat fuzzy set theories and topologies / S.E. Rodabaugh -- Introductory notes to Chapter 3 / U. Hohle -- 3. Axiomatic foundations of fixed-basis fuzzy topology / U. Hohle and A.P. Sostak -- 4. Categorical foundations of variable-basis fuzzy topology / S.E. Rodabaugh -- 5. Characterization of L-topologies by L-valued neighborhoods / U. Hohle -- 6. Separation axioms: Extension of mappings and embedding of spaces / T. Kubiak -- 7. Separation axioms: Representation theorems, compactness, and compactifications / S.E. Rodabaugh -- 8. Uniform spaces / W. Kotze -- 9. Extensions of uniform space notions / M.H. Burton and J. Gutierrez Garcia -- 10. Fuzzy real lines and dual real lines as poslat topological, uniform, and metric ordered semirings with unity / S.E. Rodabaugh -- 11. Fundamentals of generalized measure theory / E.P. Klement and S. Weber -- 12. On conditioning operators / U. Hohle and S. Weber -- 13. Applications of decomposable measures / E. Pap -- 14. Fuzzy random variables revisited / D.A. Ralescu.
Owning institution
  1. Princeton University Library
Bibliography (note)
  1. Includes bibliographical references and index.