Overview
- Self-containing mathematical textbook, no previous knowledge in algebra or in logic required
- Contains 134 exercises with complete answers
Part of the book series: Advances in Intelligent and Soft Computing (AINSC, volume 1)
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Keywords
- Algebra
- Equivalence
- Fuzziness
- Fuzzy Logic
- Fuzzy Mathematics
- Fuzzy-Logik
- Fuzzy-Mathematik
- Many Valued Logic
- Mathematik
- Maxima
- Soft Computing
About this book
Chapter 1 starts from such basic concepts as order, lattice, equivalence and residuated lattice. It contains a full section on BL-algebras. Chapter 2 concerns MV-algebra and its basic properties. Chapter 3 applies these mathematical results on Lukasiewicz-Pavelka style fuzzy logic, which is studied in details; besides semantics, syntax and completeness of this logic, a lot of examples are given. Chapter 4 shows the connection between fuzzy relations, approximate reasoning and fuzzy IF-THEN rules to residuated lattices.
Bibliographic Information
Book Title: Mathematics Behind Fuzzy Logic
Authors: Esko Turunen
Series Title: Advances in Intelligent and Soft Computing
Publisher: Physica Heidelberg
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Physica-Verlag Heidelberg 1999
eBook ISBN: 978-3-7908-1871-0
Series ISSN: 1867-5662
Series E-ISSN: 1867-5670
Edition Number: 1
Number of Pages: X, 191