Fuzzy Mathematics - Mordeson, John N.;Nair, Premchand S.
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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…mehr

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Produktbeschreibung
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 pointof 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.
Autorenporträt
Dr. John N. Mordeson is 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 19 books and over 200 journal articles, and is on the editorial board of numerous journals. He has served as an external examiner for Ph.D. candidates from India, South Africa, Bulgaria and Pakistan, and has also served as a referee for numerous journals and grant agencies. He is particularly interested in applying mathematics of uncertainty to combat the problem of human träcking. Dr. Sunil Mathew is a faculty member at the Department of Mathematics, NIT Calicut, India. He has holds a master's degree from St. Josephs College, Calicut, and a Ph.D. in Fuzzy Graph Theory from the National Institute of Technology Calicut. He has 20 years of teaching and research experience, and his current research focuses on fuzzy graph theory, bio-computational modeling, graph theory, fractal geometry, and chaos. He has published more than 100 research papers and written ¿ve books, and is an editor and reviewer for several international journals. He is a member of numerous academic bodies and associations.