| Title:
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FUZZY MATHEMATICS
AN INTRODUCTION FOR ENGINEERS AND SCIENTISTS |
| By: |
John N. Mordeson, Premchand S. Nair |
| Format: |
Hardback |
| List price:
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£119.99 |
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| ISBN 10: |
3790814202 |
| ISBN 13: |
9783790814200 |
| Publisher: |
SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG |
| Pub. date: |
7 September, 2001 |
| Edition: |
2nd ed. 2001 |
| Series: |
Studies in Fuzziness and Soft Computing 20 |
| Pages: |
314 |
| Description: |
This text deals with fuzzy graph theory, fuzzy topology, fuzzy geometry, and fuzzy abstract algebra. It presents the concepts of fuzzy mathematics with its applications to engineering, computer science, and mathematics. |
| 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. |
| Illustrations: |
9 Tables, black and white; XIII, 314 p. |
| Publication: |
Germany |
| Imprint: |
Physica-Verlag GmbH & Co |
| Returns: |
Returnable |