Mathematics Behind Fuzzy Logic

Many results in fuzzy logic depend on the mathematical structure the truth value set obeys. In this textbook the algebraic foundations of many-valued and fuzzy reasoning are introduced. The book is self-contained, thus no previous knowledge in algebra or in logic is required. It contains 134 exercises with complete answers, and can therefore be used as teaching material at universities for both undergraduated and post-graduated courses.

Sommario

Summary:
Residuated Lattices: Lattices and Equivalence Relations; Lattice Filters; Residuated Lattices ; BL-Algebras; Exercises.- MV-Algebras: MV-Algebras and Wajsberg Algebras; Complete MV-Algebras; Pseudo-Boolean Algebras; Exercises.- Fuzzy Propositional Logic: Semantics of Fuzzy Propositional Logic; Exercises.- Fuzzy Relations: Solvability of Fuzzy Relation Equations; On Fuzzy Similiarity Relations; Fuzzy Similiarity and Approximate Reasoning; Maximal Similiarity and Fuzzy Reasoning; Exercises.- Solutions to Exercises.

Dettagli sul prodotto

• Autori: Esko Turunen
• Editore: Physica-Verlag
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 01.01.1999
• EAN: 9783790812213
• ISBN: 978-3-7908-1221-3
• Pagine: 191
• Peso: 276 g
• Illustrazioni: w. figs.
• Serie: Advances in Soft Computing; Advances in Soft Computing
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Aritmetica, algebra