John N. Mordeson Premchand S. Nair Mordeson Fuzzy Mathematics

Fuzzy Mathematics

von John N. Mordeson Premchand S. Nair

An Introduction for Engineers and Scientists

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Beschreibung

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.
With numerous examples Presentation of concepts of fuzzy mathematics with applications to engineering, computer science, and mathematics Includes supplementary material: sn.pub/extras

Autor*in

John N. Mordeson

Themen in »Fuzzy Mathematics«

Analysis Pattern Recognition Transformation automata automata theory coding theory computer computer science database fuzzy modeling optimization

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Details

ISBN: 9783790824940
Verlag: Physica
Erscheinung: 21.10.2010

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