Fuzzy logic and mathematics: a historical perspective
The main part of the book is a comprehensive overview of the development of fuzzy logic and its applications in various areas of human affair since its genesis in the mid 1960s. This overview is then employed for assessing the significance of fuzzy logic and mathematics based on fuzzy logic.
Read More ↓Title Statements
- Full title :Fuzzy logic and mathematics : a historical perspective / Radim Belohlávek, Joseph W. Dauben, George J. Klir.
Summary
The main part of the book is a comprehensive overview of the development of fuzzy logic and its applications in various areas of human affair since its genesis in the mid 1960s. This overview is then employed for assessing the significance of fuzzy logic and mathematics based on fuzzy logic.
Read More ↓Edition Statements
- Publication Date:2017
Publication Statements
- Publisher(s):Oxford University Press
- Place of Publication:Oxford
- Language:eng
- Publication Date:2017
The Physical Object
- Description:1 online resource
Edition Identifiers
- ISBN:9780190200022, 0190200022, 9780190200039, 0190200030
- oclc:ocn984692747
- LC Classification:QA9.64
- Dewey Decimal:511.3/13
Table of Contents
Cover; Half title; Title ; Copyright; Contents; Preface; Notes for the Reader; Chapter 1 Aims and Scope of This Book; Chapter 2 Prehistory, Emergence, and Evolution of Fuzzy Logic; 2.1 Prehistory of fuzzy logic; 2.2 Emergence of fuzzy logic; 2.3 Evolving attitudes toward fuzzy logic; 2.4 Documented debates; 2.5 Evolution of supporting infrastructure for fuzzy logic; Chapter 3 Fuzzy Logic in the Broad Sense; 3.1 Introduction; 3.2 Basic concepts of fuzzy sets; 3.3 Operations on fuzzy sets; 3.4 Fuzzy intervals, fuzzy numbers, and fuzzy arithmetic; 3.5 Fuzzy relations; 3.6 Approximate reasoning
3.7 Possibility theory3.8 Fuzzy clustering; 3.9 Methods for constructing fuzzy sets; 3.10 Nonstandard fuzzy sets; Chapter 4 Fuzzy Logic in the Narrow Sense; 4.1 From classical to fuzzy logic: Principal issues; 4.2 Many-valued logics until the 1960s; 4.2.1 Łukasiewicz finitely- and infinitely-valued logics; 4.2.2 Gödel finitely- and infinitely-valued logics; 4.2.3 Other propositional logics; 4.2.4 Predicate logics; 4.2.5 Further developments; 4.2.6 The mid-1960s and Zadeh's idea of fuzzy sets; 4.3 Fuzzy logics with graded consequence; 4.3.1 Goguen's logic of inexact concepts
4.3.2 Pavelka-styl…
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