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Lotfi A. Zadeh

18 quotes

“A fuzzy set is a class of objects with a continuum of grades of membership. Such a set is characterized by a membership (characteristic) function which assigns to each object a grade of membership ranging between zero and one. The notions of inclusion, union, intersection, complement, relation, convexity, etc., are extended to such sets, and various properties of these notions in the context of fuzzy sets are established. In particular, a separation theorem for convex fuzzy sets is proved without requiring that the fuzzy sets be disjoint.”
Lotfi A. Zadeh (1921–2017) said by 2017 at the latest wikiquote, CC BY-SA 4.0 source
“More often than not, the classes of objects encountered in the real physical world do not have precisely deﬁned criteria of membership. For example, the class of animals clearly includes dogs, horses, birds, etc. as its members, and clearly excludes such objects as rocks, ﬂuids, plants, etc. However, such objects as starfish, bacteria, etc. have an ambiguous status with respect to the class of animals. The same kind of ambiguity arises in the case of a number such as 10 in relation to the “class” of all real numbers which are much greater than 1.”
Lotfi A. Zadeh (1921–2017) said by 2017 at the latest wikiquote, CC BY-SA 4.0 source
“In general, complexity and precision bear an inverse relation to one another in the sense that, as the complexity of a problem increases, the possibility of analysing it in precise terms diminishes. Thus 'fuzzy thinking' may not be deplorable, after all, if it makes possible the solution of problems which are much too complex for precise analysis.”
Lotfi A. Zadeh (1921–2017) first seen 1972 wikiquote, CC BY-SA 4.0 source
Recorded in: Zadeh (1972) "Fuzzy languages and their relation to human intelligence". in: Proceedings of the International Conference Man and Computer, Bordeaux, France. Basel: S. Karger, pp. 130-165. cited in Gaines (1976) "Foundat…
“[ Fuzzy logic is ] a logic whose distinguishing features are (i) fuzzy truth-values expressed in linguistic terms, e.g., true, very true, more or less true, or somewhat true, false, nor very true and not very false, etc2.; (2) imprecise truth tables; and (3) rules of inference whose validity is relative to a context rather than exact.”
Lotfi A. Zadeh (1921–2017) first seen 1975 wikiquote, CC BY-SA 4.0 source
Recorded in: Zadeh (1975) "Fuzzy logic and approximate reasoning". Synthese 30: p. 407
“A linguistic variable is defined as a variable whose values are sentences in a natural or artificial language.”
Lotfi A. Zadeh (1921–2017) said by 2017 at the latest wikiquote, CC BY-SA 4.0 source
“[T]he successes of modern control theory in the design of highly accurate space navigation systems have stimulated its use in the theoretical analyses of economic and biological systems. Similarly, the effectiveness of computer simulation techniques in the macroscopic analyses of physical systems has brought into vogue the use of computer-based econometric models for purposes of forecasting, economic planning, arid management.”
Lotfi A. Zadeh (1921–2017) said by 2017 at the latest wikiquote, CC BY-SA 4.0 source
“A linguistic variable is a variable whose values are words or sentences in a natural or synthetic language.”
Lotfi A. Zadeh (1921–2017) said by 2017 at the latest wikiquote, CC BY-SA 4.0 source
“Essentially, a fuzzy algorithm is an ordered sequence of instructions (like a computer program) in which some of the instructions may contain labels or fuzzy sets, e.g.: Reduce x slightly if y is very large Increase x very slightly if y is not very large and not very small If x is small then stop; otherwise increase x by 2.”
Lotfi A. Zadeh (1921–2017) said by 2017 at the latest wikiquote, CC BY-SA 4.0 source
“The question really isn't whether I'm American, Russian, Iranian, Azerbaijani, or anything else. I've been shaped by all these people and cultures and I feel quite comfortable among all of them.”
Lotfi A. Zadeh (1921–2017) first seen 1994 wikiquote, CC BY-SA 4.0 source
Recorded in: Zadeh (1994) in: Betty Blair. "Short Biographical Sketch". Azerbaijan International, Vol. 2:4 (Winter 1994), p. 49.
“To what degree is something true or false?”
Lotfi A. Zadeh (1921–2017) first seen 1994 wikiquote, CC BY-SA 4.0 source
Recorded in: Attributed to Zadeh in: "What is Fuzzy Logic?" in: Azerbaijan international Vol 2.4 (Winter 1994). p. 47
“The term fuzzy logic is used in this paper to describe an imprecise logical system, FL, in which the truth-values are fuzzy subsets of the unit interval with linguistic labels such as true, false, not true, very true, quite true, not very true and not very fake, etc.... As a consequence, the truth tables and the rules of inference in fuzzy logic are (i) inexact and (ii) dependent on the meaning associated with the primary truth-value true as well as the modifiers very quite.”
Lotfi A. Zadeh (1921–2017) first seen 1996 wikiquote, CC BY-SA 4.0 source
Recorded in: Lotfi Asker Zadeh, George Jiri Klir, Bo Yuan (1996) Fuzzy Sets, Fuzzy Logic, and Fuzzy Systems: Selected Papers. p. 238
Also quoted by: George Klir
“Well, I knew it was going to be important. That much I knew. In fact, I had thought about sealing it in a dated envelope with my predictions and then opening it 20-30 years later to see if my intuitions were right. I realized this paper marked a new direction. I used to think about it this way-that one day Fuzzy Logic would turn out to be one of the most important things to come out of our Electrical Engineering Computer Systems Division at Berkeley. I never dreamed it would become a worldwide phenomenon. My expectations were much more modest.”
Lotfi A. Zadeh (1921–2017) first seen 1965 wikiquote, CC BY-SA 4.0 source
Recorded in: Answer to the question: "Back in 1965 when you published your initial paper on Fuzzy Logic, how did you think it would be accepted?
“I can't say that anything has been "exciting". Rather, I would choose the word "interesting". Not too long ago, the Chinese University of Hong Kong conducted a survey to determine which consumer products were using Fuzzy Logic. The result was a thick report, some 150-200 pages long-washing machines, camcorders, microwave ovens, etc. What interested me wasn't the particular applications so much as the breadth of applications-so many products were incorporating Fuzzy Logic.”
Lotfi A. Zadeh (1921–2017) said by 2017 at the latest wikiquote, CC BY-SA 4.0 source
“More often than not, the classes of objects encountered in the real physical world do not have precisely deﬁned criteria of membership. For example, the class of animals clearly includes dogs, horses, birds, etc. as its members, and clearly excludes such objects as rocks, ﬂuids, plants, etc. However, such objects as starfish, bacteria, etc. have an ambiguous status with respect to the class of animals. The same kind of ambiguity arises in the case of a number such as 10 in relation to the “class” of all real numbers which are much greater than 1.”
Lotfi A. Zadeh (1921–2017) said by 2017 at the latest wikiquote, CC BY-SA 4.0 source
“It was a biologist — Ludwig von Bertalanffy — who long ago perceived the essential unity of system concepts and techniques in the various fields of science and who in writings and lectures sought to attain recognition for “general systems theory” as a distinct scientific discipline. It is pertinent to note, however, that the work of Bertalannfy and his school, being motivated primarily by problems arising in the study of biological systems, is much more empirical and qualitative in spirit than the work of those system theorists who received their training in exact sciences. In fact, there is a fairly wide gap between what might be regarded as “animate” system theorists and “inanimate” system theorists at the present time, and it is not at all certain that this gap will be narrowed, much less closed, in the near future. There are some who feel this gap reflects the fundamental inadequacy of the conventional mathematics—the mathematics of precisely defined points, functions, sets, probability measures, etc.—for coping with the analysis of biological systems, and that to deal effectively with such systems, we need a radically different kind of mathematics, the mathematics of fuzzy or cloudy quantities which are not describable in terms of probability distributions. Indeed the need for such mathematics is becoming increasingly apparent even in the realms of inanimate systems”
Lotfi A. Zadeh (1921–2017) first seen 1962 wikiquote, CC BY-SA 4.0 source
Recorded in: Zadeh (1962) "From circuit theory to system theory", Proceedings I.R.E., 1962, 50, 856-865. cited in: Brian R. Gaines (1979) "General systems research: quo vadis?", General Systems, Vol. 24 (1979), p. 12
“The advent of the Computer age has stimulated a rapid expansion in the use of quantitative techniques for the analysis of economic, urban, social, biological and other types of systems in which it is the animate rather than in dominant role. At present, most of the techniques employed for the analysis of humanistic, i.e., human centred systems are adaptations of the methods that have been developed over a long period of time for dealing with mechanistic systems, i.e., physical systems governed in the main by-the laws of mechanics, electromagnetism, and thermodynamics. The remarkable successes of these methods in unraveling the secrets of nature and enabling us to build better and better machines have inspired a widely held belief that the same or similar techniques can be applied with comparable effectiveness to the analysis of humanistic systems.”
Lotfi A. Zadeh (1921–2017) said by 2017 at the latest wikiquote, CC BY-SA 4.0 source
“A frequent source of misunderstanding has to do with the interpretation of fuzzy logic. The problem is that the term fuzzy logic has two different meanings. More specifically, in a narrow sense, fuzzy logic, FLn, is a logical system which may be viewed as an extension and generalization of classical multivalued logics. But in a wider sense, fuzzy logic, FLw is almost synonymous with the theory of fuzzy sets. In this context, what is important to recognize is that: (a) FLw is much broader than FLn and subsumes FLn as one of its branches; (b) the agenda of FLn is very different from the agendas of classical multivalued logics; and (c) at this juncture, the term fuzzy logic is usually used in its wide rather than narrow sense, effectively equating fuzzy logic with FLw”
Lotfi A. Zadeh (1921–2017) first seen 1995 wikiquote, CC BY-SA 4.0 source
Recorded in: Zadeh (1995) in Foreword of George J. Klir Fuzzy sets and fuzzy logic: theory and applications.
“In many, many fields. I expected people in the social sciences-economics, psychology, philosophy, linguistics, politics, sociology, religion and numerous other areas to pick up on it. It's been somewhat of a mystery to me why even to this day, so few social scientists have discovered how useful it could be. Instead, Fuzzy Logic was first embraced by engineers and used in industrial process controls and in "smart" consumer products such as hand-held camcorders that cancel out jittering and microwaves that cook your food perfectly at the touch of a single button. I didn't expect it to play out this way back in 1965.”
Lotfi A. Zadeh (1921–2017) said by 2017 at the latest wikiquote, CC BY-SA 4.0 source