Fuzzy Mathematics

丛 书 名：Studies in Fuzziness and Soft Computing

版本说明：2

作     者：John N. Mordeson Premchand S. Nair 

I S B N：(纸本) 9783790814200;9783790824940 

出 版 社：Physica Heidelberg 

出 版 年：1000年

页      数：XIII, 314页

主 题 词：Mathematical Logic and Foundations Mathematics of Computing Mathematics, general Math Applications in Computer Science Computational Intelligence Economic Theory/Quantitative Economics/Mathematical Methods 

摘      要：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.