Description: Fuzzy Implications Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Author(s): Michal Baczynski, Balasubramaniam Jayaram Format: Paperback Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Germany Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K ISBN-13: 9783642088612, 978-3642088612 Synopsis Nothing new had been done in Logic since Aristotle! -KurtGodel .. [tel] Fuzzyimplicationsareoneof themain operationsinfuzzy [url] the classical implication, which takes values in {0,1}, to fuzzy logic, where the truth values belong to the unit interval [0,1]. In classical logic the implication canbede?nedindi?[url] assumegreatert- oreticalimportance,viz. the usual materialimplication from the Kleene algebra, the implication obtained as the residuum of the conjunction in Heyting algebra (also called pseudo-Boolean algebra) in the intuitionistic logic framework and the implication (also called as 'Sasaki arrow') in the setting of quantum logic. Interestingly, despite their di?ering de?nitions, their truth tables are identical in classical case. However, the natural generalizations of the above de?nitions in the fuzzy logic framework are not identical. This diversity is more a boon than a bane and has led to some intensive research on fuzzy implications for close to three decades. It will be our endeavor to cover the various works churned out in this period to su?cient depth and allowable breadth in this treatise. In the forewordto Klir andYuan's book[147],ProfessorLot?A. Zadehstates the following: "The problem is that the term 'fuzzy logic' has two di?erent meanings.
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Book Title: Fuzzy Implications
Number of Pages: 310 Pages
Language: English
Publication Name: Fuzzy Implications
Publisher: Springer-Verlag Berlin AND Heidelberg Gmbh & Co. KG
Publication Year: 2010
Subject: Engineering & Technology, Computer Science, Mathematics
Item Height: 235 mm
Item Weight: 504 g
Type: Textbook
Author: Michal Baczynski, Balasubramaniam Jayaram
Series: Studies in Fuzziness and Soft Computing
Item Width: 155 mm
Format: Paperback