Lotfi A. Zadeh (2004)

Lotfi Asker Zadeh (in Persian:لطفی علی‌عسکرزاده), (born February 4, 1921) is a mathematician and computer scientist, and a professor of computer science at the University of California at Berkeley. Image File history File links Lotfi_A._Zadeh(2004). ... Image File history File links Lotfi_A._Zadeh(2004). ... Persian may refer to more than one article: the Western name for Iranian (see Iran/Persia naming controversy) Persian, an Iranian language the Persians, an ethnic group a Persian, a breed of cat Persian, a Pokémon character Etymology English Persian < Old English, < Latin *Persianus, < Latin Persia, < ancient Greek Persis... February 4 is the 35th day of the year in the Gregorian Calendar. ... 1921 (MCMXXI) was a common year starting on Saturday (see link for calendar). ... Computer science is the study of the theoretical foundations of information and computation and their implementation and application in computer systems. ... The University of California, Berkeley (also known as Cal, UC Berkeley, UCB, or simply Berkeley) is a prestigious, public, coeducational university situated in the foothills of Berkeley, California to the east of San Francisco Bay, overlooking the Golden Gate and its bridge. ...

He was born in Azerbaijan as Lotfi Aliaskerzadeh (or Askar Zadeh), to a Russian mother and Iranian Azeri father of , grew up in Iran, studied at Alborz High School and Tehran University, and moved to the United States in 1944. He has taught at Berkeley since 1959. He published his seminal work on fuzzy set in 1965 in which he detailed the mathematics of fuzzy set theory. In 1973 he proposed his theory of fuzzy logic. Alborz High School Alborz High School (in Persian:دبیرستان البرز), is a prestigious high school located in the heart of Tehran, Iran. ... The University of Tehran (دانشگاه تهران in Persian), also known as Tehran University, is the oldest and largest university of Iran. ... 1944 (MCMXLIV) was a leap year starting on Saturday (the link is to a full 1944 calendar). ... University of California, Berkeley The University of California, Berkeley (also known as California, Cal, UCB, UC Berkeley, The University of California, or simply Berkeley) is a public, coeducational university situated east of the San Francisco Bay in Berkeley, California, overlooking the Golden Gate. ... 1959 (MCMLIX) was a common year starting on Thursday of the Gregorian calendar. ... Fuzzy sets are an extension of classical set theory and are used in fuzzy logic. ... Fuzzy logic is derived from fuzzy set theory dealing with reasoning that is approximate rather than precisely deduced from classical predicate logic. ...

Aristotle introduced the laws of thought which consisted of three fundamental laws: Aristotle (Ancient Greek: Aristotelēs 384 BC – March 7, 322 BC) was an ancient Greek philosopher, who studied with Plato and taught Alexander the Great. ... There were four classic laws of thought recognised in European thought of the seventeenth and eighteenth century, which held sway also during nineteenth century (while subject to greater debate). ...

• principle of identity
• law of the excluded middle
• law of contradiction

The law of the excluded middle states that for all propositions p, either p or ~p must be true, there being no middle true proposition between them. In other words, p cannot be both p and not p. This should not be confused with the principle of bivalence, which states that either p must be true or false. The Law of identity in logic, often incorrectly attributed to Aristotle, states that A = A. By the 17th century, reference to the law of identity was common amongst philosophers, but no reference to it exists during or before the time of St. ... The law of excluded middle (tertium non datur in Latin) states that for any proposition P, it is true that (P or ~P). ... In logic, the law of noncontradiction judges as false any proposition P asserting that both proposition Q and its denial, proposition not-Q, are true at the same time and in the same respect. In the words of Aristotle, One cannot say of something that it is and that it... The law of excluded middle (tertium non datur in Latin) states that for any proposition P, it is true that (P or ~P). ... In logic, the principle of bivalence states that for any proposition P, either P is true or P is false. ...

Plato laid the foundation of what is now known as fuzzy logic indicating that there was a third region beyond true and false. Plato Plato (Greek: Πλάτων, Plátōn) (c. ... Fuzzy logic is derived from fuzzy set theory dealing with reasoning that is approximate rather than precisely deduced from classical predicate logic. ...

It was Jan Łukasiewicz who first proposed a systematic alternative to the bi-valued logic of Aristotle and described the 3-valued logic, with the third value being Possible. The title given to this article is incorrect due to technical limitations. ...

Lotfi Zadeh, in his theory of fuzzy logic, proposed the making of the membership function operate over the range of real numbers [0,1]. He proposed new operations for the calculus of logic and showed that fuzzy logic was a generalisation of classical logic. Please refer to Real vs. ... Logic, from Classical Greek λόγος (logos), originally meaning the word, or what is spoken, (but coming to mean thought or reason) is most often said to be the study of criteria for the evaluation of arguments, although the exact definition of logic is a matter of controversy among philosophers. ... Fuzzy logic is derived from fuzzy set theory dealing with reasoning that is approximate rather than precisely deduced from classical predicate logic. ... Logic, from Classical Greek λόγος (logos), originally meaning the word, or what is spoken, (but coming to mean thought or reason) is most often said to be the study of criteria for the evaluation of arguments, although the exact definition of logic is a matter of controversy among philosophers. ...

Lotfi Zadeh is also credited, along with John R. Ragazzini, in 1952, to have pioneered the development of the z-transform method in discrete time signal processing and analysis. These methods are now standard in digital signal processing, digital control, and other discrete-time systems used in industry and research. In mathematics and signal processing, the Z-transform converts a discrete time domain signal, which is a sequence of real numbers, into a complex frequency domain representation. ... Digital signal processing (DSP) is the study of signals in a digital representation and the processing methods of these signals. ... Digital control is a branch of control theory that uses digital computers to act as a system. ...

Lotfi Zadeh has a long list of achievements but since 2003, Lotfi Zadeh has received the following awards -

• Outstanding Contribution Award, Web Intelligence Consortium (WIC), Halifax, Canada, 2003.

• Wall of Fame, Heinz Nixdorf MuseumsForum (HNF), Paderborn, Germany, 2004.

• Civitate Honoris Causa, Budapest Tech (BT) Polytechnical Institution, Budapest, Hungary; Sept. 4, 2004.

• Doctor Honoris Causa, Muroran Institute of Technology, Muroran, Japan; Oct. 29, 2004.

• Doctor Honoris Causa, Hong Kong Baptist University, Hong Kong, China; Nov. 9, 2004.

• V. Kaufmann Prize and Gold Medal, International Association for Fuzzy-Set Management and Economy (SIGEF), Barcelona, Spain, Nov. 15, 2004.

• Foreign member of the Polish Academy of Sciences, 2005.

• Nicolaus Copernicus Medal of the Polish Academy of Sciences, 2005.

• J. Keith Brimacombe IPMM Award in recognition of his development of fuzzy set theory and fuzzy logic, 2005.

Lotfi Zadeh's latest work includes computing with words and perceptions. His recent papers include From Search Engines to Question-Answering Systems—The Role of Fuzzy Logic, Progress in Informatics, No. 1, 1-3, 2005; and Toward a Generalized Theory of Uncertainty (GTU)—An Outline, Information Sciences, Elsevier, Vol. 172, 1-40, 2005. In computing with words and perceptions (CWP), the objects of computation are words, perceptions, and propositions drawn from a natural language. ...

References

• Aristotle : Metaphysics, Chapter 7.

• Lotfi Zadeh : From computing with numbers to computing with words — from manipulation of measurements to manipulation of perceptions in International Journal of Applied Math and Computer Science, pp. 307-324, vol. 12, no. 3, 2002.

Aristotle (Ancient Greek: Aristotelēs 384 BC – March 7, 322 BC) was an ancient Greek philosopher, who studied with Plato and taught Alexander the Great. ...

External links

• Academic profile – Berkeley, University of California
• IEEE: Zadeh

For Zadeh's PhD students see

• Lotfi A. Zadeh on the Mathematics Genealogy Project page.