Discovering the World with Fuzzy Logic
Published on 18. October 2000
Book
Hardback
XII, 555 pages
978-3-7908-1330-2 (ISBN)
Description
The book presents the state-of-the-art of the mathematics in fuzzy logic and some related topics as seen by prominent researchers in this area. It covers the most important areas such as the structure of truth values, consequence operation, fuzzy relations, functional representation, extensions to other areas of logic, as well as some critical expositions on the essence of membership degrees or fuzzy measures and t-norms. The book contains many new results which are published for the first time.
More details
Series
Language
English
Place of publication
Heidelberg
Germany
Target group
Professional and scholarly
Illustrations
13
36 s/w Abbildungen, 13 s/w Tabellen
36 black & white illustrations, 13 black & white tables, biography
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Weight
938 gr
ISBN-13
978-3-7908-1330-2 (9783790813302)
Schweitzer Classification
Content
Fuzzy Logic Approaches to Human-Consistent Systems: Toward aa Logic of Perceptions Based on Fuzzy Logic; Uncertainty-Based Information: A Critical Review.- Structure of Truth Values: Triangular Norms - Basic Properties and Representation Theorems; Semantic for Fuzzy Logic Supporting Truth Functionality; States on Perfect MV-Algebras; A Glance at Implication and T-Conditional Functions.- Metamathematical Aspects of Fuzzy Logic: On the Metamathematics of Fuzzy Logic; Fuzzy Metalogic for Crisp Logics; Degrees of Truth and Degrees of Validity.- Formal Systems of Fuzzy Logic: Fuzzy Propositional Logic; Some Consequences of Herbrand and McNaughton Theorems in Fuzzy Logic.- Fuzzy Quantifiers: Many; On T-Quantifiers and S-Quantifiers.- Reasoning in Impreciseness: Reasoning on Imprecisely Defined Functions; Similarity-Based Reasoning.- Relational Systems in Fuzzy Logic:Generalized Solvability Behaviour for Systems of Fuzzy Equations; Fuzzy Points; Fuzzy Relations and Fuzzy Functions.- Extensions and Departures from Fuzzy Logic: Fuzzy Galois Connections and Fuzzy Concept Lattices; A Unified Compilation Style Labelled Deductive System for Modal, Substructural and Fuzzy Logics.