Fuzzy Mathematics: An Introduction for Engineers and Scientists (Studies in Fuzziness and Soft Computing (20))

Mordeson, John N., Nair, Premchand S.

ISBN 10: 3790824941 / ISBN 13: 9783790824940

Published by Physica, 2010

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Bibliographic Details

• Title: Fuzzy Mathematics: An Introduction for Engineers and Scientists (Studies in Fuzziness and Soft Computing (20))
• Publisher: Physica
• Publication Date: 2010
• Language: English
• ISBN 10: 3790824941
• ISBN 13: 9783790824940
• Binding: Paperback
• Edition: 2nd Edition
• Condition: Like New
• Book Type: book

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Synopsis

In the mid-1960's I had the pleasure of attending a talk by Lotfi Zadeh at which he presented some of his basic (and at the time, recent) work on fuzzy sets. Lotfi's algebra of fuzzy subsets of a set struck me as very nice; in fact, as a graduate student in the mid-1950's, I had suggested similar ideas about continuous-truth-valued propositional calculus (inffor "and", sup for "or") to my advisor, but he didn't go for it (and in fact, confused it with the foundations of probability theory), so I ended up writing a thesis in a more conventional area of mathematics (differential algebra). I especially enjoyed Lotfi's discussion of fuzzy convexity; I remember talking to him about possible ways of extending this work, but I didn't pursue this at the time. I have elsewhere told the story of how, when I saw C. L. Chang's 1968 paper on fuzzy topological spaces, I was impelled to try my hand at fuzzi­ fying algebra. This led to my 1971 paper "Fuzzy groups", which became the starting point of an entire literature on fuzzy algebraic structures. In 1974 King-Sun Fu invited me to speak at a U. S. -Japan seminar on Fuzzy Sets and their Applications, which was to be held that summer in Berkeley.