This book discusses the theory of triangular norms and surveys several applied fields in which triangular norms play a significant part: probabilistic metric spaces, aggregation operators, many-valued logics, fuzzy logics, sets and control, and non-additive measures together with their corresponding integrals. It includes many graphical illustrations and gives a well-balanced picture of theory and applications. It is for mathematicians, computer scientists, applied computer scientists and engineers.
Triangular Norms (TRENDS IN LOGIC Volume 8)
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Editorial Reviews
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"The book is very well written and constitutes a valuable addition to the literature on t-norms and, in general fuzzy reasoning. It presents almost all of the most important developments of fuzzy sets and fuzzy logic by focusing on the central concept of triangular norm. It is divided into two parts and an appendix, which gives a summary of the existing families of t-norms." (Mathematical Reviews, 2002a)
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Inside This Book
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Key Phrases - Statistically Improbable Phrases (SIPs):
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deduction theorem, Kampé de Fériet, compactness theorem, conditional cancellation law, linear fuzzy numbers, strictly decreasing bijection, completely maxitive measure, trivial idempotent elements, additive generator, strictly increasing bijection, pairwise disjoint open subintervals, ordinal sum representation, multiplicative generator, ordinal sums, ordered commutative semigroup, probabilistic metric spaces, diagonal sections, compensatory operators, open unit square, fuzzy reals, increasing bijections, crisp subsets, fuzzy quantities, fuzzy points, triangular conorms Key Phrases - Capitalized Phrases (CAPs): (learn more)
Lukasiewicz R-fuzzy, S-faithful S-measure, Lukasiewicz S-fuzzy, Liapounoff Theorem, Gödel R-fuzzy, Archimedean I-semigroup, Karl Menger, The Godel R-fuzzy, Sklar's Theorem Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
deduction theorem, Kampé de Fériet, compactness theorem, conditional cancellation law, linear fuzzy numbers, strictly decreasing bijection, completely maxitive measure, trivial idempotent elements, additive generator, strictly increasing bijection, pairwise disjoint open subintervals, ordinal sum representation, multiplicative generator, ordinal sums, ordered commutative semigroup, probabilistic metric spaces, diagonal sections, compensatory operators, open unit square, fuzzy reals, increasing bijections, crisp subsets, fuzzy quantities, fuzzy points, triangular conorms Key Phrases - Capitalized Phrases (CAPs): (learn more)
Lukasiewicz R-fuzzy, S-faithful S-measure, Lukasiewicz S-fuzzy, Liapounoff Theorem, Gödel R-fuzzy, Archimedean I-semigroup, Karl Menger, The Godel R-fuzzy, Sklar's Theorem Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
62
books
cite this book:
See all 62 books citing this book
- Logical, Algebraic, Analytic and Probabilistic Aspects of Triangular Norms by Erich Peter Klement on 18 pages
- Associative Functions: Triangular Norms And Copulas by Claudi Alsina on 8 pages
- Topological and Algebraic Structures in Fuzzy Sets: A Handbook of Recent Developments in the Mathematics of Fuzzy Sets (Trends in Logic) by S.E. Rodabaugh on 6 pages
- Soft Methodology and Random Information Systems (Advances in Intelligent and Soft Computing) by Miguel Concepcion Lopez-Diaz on 6 pages
- Aggregation Operators: New Trends and Applications (Studies in Fuzziness and Soft Computing) by Tomasa Calvo on 5 pages
See all 62 books citing this book
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