Fuzzy Implications

Fuzzy Implications (FIs) generalize the classical implication and play a similar important role in Fuzzy Logic (FL), both in FL_n and FL_w in the sense of Zadeh. Their importance in applications of FL, viz., Approximate Reasoning (AR), Decision Support Systems, Fuzzy Control (FC), etc., is hard to e...xaggerate. This treatise is perhaps the first attempt at dealing exclusively with this class of operations. The book begins with an introduction to FIs along with their desirable properties and investigates their inter-relationships. The reminder of the book is divided into 3 parts. Part I is an analytical study of FIs, detailing the different ways of obtaining FIs, generally called as families of FIs, the various properties they satisfy and the overlaps that exist among them. Part II is an algebraic exploration into the structures that exist on the set of all FIs, while the final part highlights the effecting role FIs with their myriad properties play in the inference schemes in AR. This book is intended for any researcher in FL operations and it can serve as an auxiliary textbook for different courses on FL or FC. Parts of this book may also be of interest to practitioners in applications of FL, especially in AR or FC, where FIs play a central role Ausführliche Beschreibung Beschreibung ausblenden

1. Person:	Baczyński, Michał
Weitere Körperschaften:	SpringerLink (Online service)
Weitere Personen:	Jayaram, Balasubramaniam [author]
Format:	E-Buch
Sprache:	English
Veröffentlicht:	Berlin, Heidelberg Springer Berlin Heidelberg 2008, 2008
Beschreibung:	XVIII, 310 p online resource
Ausgabe:	1st ed. 2008
Serien:	Studies in Fuzziness and Soft Computing
Schlagworte:	Mathematical and Computational Engineering Engineering mathematics Artificial Intelligence Operator Theory Algebra Applications of Mathematics Artificial intelligence Operator theory Algebra Mathematics
Online Zugang:	Volltext
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