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Fuzzy Mathematics - ENG

An Introduction For Engineers And Scientists
$2,980.00
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ISBN: 9783790818086
Formato: Page Fidelity
Idioma: Inglés
Editorial: Springer Nature
Tema: Matemáticas
Subtema: Lógica
Año de publicación: 2012-11-08

In the mid-1960s 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. Lotfis algebra of fuzzy subsets of a set struck me as very nice; in fact, as a graduate student in the mid-1950s, I had suggested similar ideas about continuous-truth-valued propositional calculus (inffor "and", sup for "or") to my advisor, but he didnt 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 Lotfis discussion of fuzzy convexity; I remember talking to him about possible ways of extending this work, but I didnt pursue this at the time. I have elsewhere told the story of how, when I saw C. L. Changs 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.

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