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

Mordeson, John N. N.; Nair, Premchand S.

Softcover

ISBN 10: 3790824941 ISBN 13: 9783790824940

Verlag: Physica, 2010

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

Dr. John N Mordeson is a professor emeritus of Mathematics at Creighton University. He received his B.S., M.S., and Ph.D. from Iowa State University. He is a member of Phi Kappa Phi. He has published 20 books and over 200 journal articles. He is on the editorial board of numerous journals. He has served as an external examiner of Ph.D. candidates from India, South Africa, Bulgaria, and Pakistan. He has refereed for numerous journals and granting agencies. He is particularly interested in applying mathematics of uncertainty to combat the problem of human trafficking.

Dr. Sunil Mathew is a faculty member in the Department of Mathematics, NIT Calicut, India. He has acquired his masters from St. Joseph's College Devagiri, Calicut, and Ph.D. from National Institute of Technology Calicut in the area of fuzzy graph theory. He has published more than 120 research papers and written 10 books. He is a member of several academic bodies and associations. He is an editor and reviewer of several international journals. He has an experience of 20 years in teaching and research. His current research topics include fuzzy graph theory, bio-computational modeling, graph theory, fractal geometry, and chaos.

Ms. Gayathri G is currently pursuing research in the Department of Mathematics, National Institute of Technology Calicut, India. She took her master's degree in Mathematics from Government College Kasaragod, Kasaragod. She has got several publications in prestigious journals.

Details zur Ausgabe

• Verlag: Physica
• Erscheinungsdatum: 2010
• Sprache: Englisch
• ISBN 10: 3790824941
• ISBN 13: 9783790824940
• Einband: Taschenbuch
• Auflage: 2
• Anzahl der Seiten: 328
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