Zadeh, Lotfi A
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Lotfi Aliasker Zadeh (; az, Lütfi Rəhim oğlu Ələsgərzadə; fa, لطفی علی‌عسکرزاده; 4 February 1921 – 6 September 2017) was a mathematician, computer scientist, electrical engineer, artificial intelligence researcher, and professor of computer science at the University of California, Berkeley. Zadeh is best known for proposing
fuzzy mathematics Fuzzy mathematics is the branch of mathematics including fuzzy set theory and fuzzy logic that deals with partial inclusion of elements in a set on a spectrum, as opposed to simple binary "yes" or "no" (0 or 1) inclusion. It started in 1965 ...
, consisting of several ''fuzzy''-related concepts: fuzzy sets,
fuzzy logic Fuzzy logic is a form of many-valued logic in which the truth value of variables may be any real number between 0 and 1. It is employed to handle the concept of partial truth, where the truth value may range between completely true and completely ...
, fuzzy algorithms, fuzzy semantics, fuzzy languages, fuzzy control,
fuzzy systems A fuzzy control system is a control system based on fuzzy logic—a mathematical system that analyzes analog input values in terms of logical variables that take on continuous values between 0 and 1, in contrast to classical or digital logic, ...
, fuzzy probabilities, fuzzy events, and fuzzy information. Zadeh was a founding member of the Eurasian Academy.


Early life and career


Azerbaijan

Zadeh was born in
Baku Baku (, ; az, Bakı ) is the capital and largest city of Azerbaijan, as well as the largest city on the Caspian Sea and of the Caucasus region. Baku is located below sea level, which makes it the lowest lying national capital in the world a ...
,
Azerbaijan SSR Azerbaijan ( az, Азәрбајҹан, Azərbaycan, italics=no), officially the Azerbaijan Soviet Socialist Republic (Azerbaijan SSR; az, Азәрбајҹан Совет Сосиалист Республикасы, Azərbaycan Sovet Sosialist R ...
, as Lotfi Aliaskerzadeh. McNeil & Freiberger, p. 17 His father was Rahim Aleskerzade, an Iranian Muslim Azerbaijani journalist from Ardabil on assignment from Iran, and his mother was Fanya (Feyga) Korenman, a Jewish
pediatrician Pediatrics ( also spelled ''paediatrics'' or ''pædiatrics'') is the branch of medicine that involves the medical care of infants, children, adolescents, and young adults. In the United Kingdom, paediatrics covers many of their youth until the ...
from Odessa, Ukraine, who was an Iranian citizen.Gale, Thomson
Lotfi Asker Zadeh Biography
''World of Computer Science''
The Soviet government at this time courted foreign correspondents, and the family lived well while in Baku. McNeil & Freiberger, p. 18 Zadeh attended elementary school for three years there, which he said "had a significant and long-lasting influence on my thinking and my way of looking at things."Blair, Betty. Interview with Lotfi Zadeh (December 1999) i
"Famous People: Then and Now Lotfi Zadeh, Creator of Fuzzy Logic (1921– )"
''Azerbaijan International'' (7.4) (Winter 1999)


Iran

In 1931, when Stalin began agricultural collectivization, and Zadeh was ten, his father moved his family back to Tehran, Iran. Zadeh was enrolled in Alborz High School, a missionary school, where he was educated for the next eight years, and where he met his future wife, Fay (Faina) Zadeh, who said that he was "deeply influenced" by the "extremely decent, fine, honest and helpful" Presbyterian missionaries from the United States who ran the college. "To me they represented the best that you could find in the United States – people from the Midwest with strong roots. They were really 'Good Samaritans' – willing to give of themselves for the benefit of others. So this kind of attitude influenced me deeply. It also instilled in me a deep desire to live in the United States." During this time, Zadeh was awarded several
patents A patent is a type of intellectual property that gives its owner the legal right to exclude others from making, using, or selling an invention for a limited period of time in exchange for publishing an enabling disclosure of the invention."A p ...
. Zadeh sat for the Iran national university exams and placed third in the nation. As a student, he ranked first in his class in his first two years. In 1942, he graduated from the University of Tehran with a degree in
electrical engineering Electrical engineering is an engineering discipline concerned with the study, design, and application of equipment, devices, and systems which use electricity, electronics, and electromagnetism. It emerged as an identifiable occupation in the l ...
, one of only three students in that field to graduate that year, due to the turmoil created by World War II, when the United States, Britain and the Soviet Union invaded Iran. Over 30,000 American soldiers were based there, and Zadeh worked with his father, who did business with them as a contractor for hardware and building materials. McNeil & Freiberger, p. 19


United States

In 1943, Zadeh decided to leave for the United States to continue his education. He travelled to Philadelphia by way of Cairo after months of delay waiting first for the proper papers and later for the right ship to appear. He arrived in mid-1944, lived in New York and worked for an electronic association, and entered the Massachusetts Institute of Technology (MIT) as a graduate student in September that year. While in the United States, he shortened his family name, creating a new middle name from the part he removed, and was thenceforth known as Lotfi Aliasker Zadeh. He received an
MS degree MS, ms, Ms, M.S., etc. may refer to: Arts and entertainment * ''Ms.'' (magazine), an American feminist magazine * Metal Storm (webzine), a heavy metal website based in Estonia Businesses and organizations * MS-13, criminal gang * Missionaries ...
in electrical engineering from MIT in 1946. In 1947, as his parents had settled in New York City, Zadeh went to work as an engineer at Columbia University. Zadeh then applied to Columbia University. Columbia admitted him as a doctoral student and offered him an instructorship as well. He received his
PhD PHD or PhD may refer to: * Doctor of Philosophy (PhD), an academic qualification Entertainment * '' PhD: Phantasy Degree'', a Korean comic series * ''Piled Higher and Deeper'', a web comic * Ph.D. (band), a 1980s British group ** Ph.D. (Ph.D. albu ...
in electrical engineering from Columbia in 1949 and became an assistant professor the next year. Zadeh taught for ten years at Columbia and was promoted to full professor in 1957. The chairman of the electronic engineering department at the University of California, wrote and offered him work. In 1959, Zadeh joined the Electrical Engineering faculty at the University of California, Berkeley. During his lengthy research career, Zadeh made important scientific contributions in two distinct areas: (1) linear system theory and classical control systems, and (2) fuzzy sets, fuzzy logic, and related science and technology. Zadeh was awarded a Guggenheim Fellowship in 1967 for Natural Sciences in Applied Mathematics. Zadeh's first important research contribution, well known among scholars of his generation in the electrical engineering community, was in the area of classical control systems. His pioneer work, co-authored with
Charles Desoer Charles is a masculine given name predominantly found in English and French speaking countries. It is from the French form ''Charles'' of the Proto-Germanic name (in runic alphabet) or ''*karilaz'' (in Latin alphabet), whose meaning was "f ...
, ''Linear System Theory: The State Space Approach,'' laid a critical foundation for all modern approaches to system analysis and control. The second and more well-known contribution of Zadeh's research is his lifelong dedication to the creation, enhancement and the real-world impacts of a broad collection of science and technology based on fuzzy sets and fuzzy logic. He published his seminal work on fuzzy sets in 1965, in which he described the motivation of replicating human-like reasoning and detailed the mathematics of fuzzy set theory. In 1973 he proposed his theory of
fuzzy logic Fuzzy logic is a form of many-valued logic in which the truth value of variables may be any real number between 0 and 1. It is employed to handle the concept of partial truth, where the truth value may range between completely true and completely ...
. Together, fuzzy sets and fuzzy logic provide the necessary foundations for a broad class of related innovations, including (but not limited to): * fuzzy control – a practical approach to non-linear control using fuzzy if-then rules in fuzzy logic * fuzzy pattern recognition – a generalization of conventional pattern recognition techniques using fuzzy sets (e.g., fuzzy k-means generalizes k-means clustering) * fuzzy database – generalizes classical database query language using fuzzy sets and fuzzy logic * fuzzy mathematics – generalizes conventional mathematics using fuzzy sets and fuzzy logic *
neuro-fuzzy In the field of artificial intelligence, neuro-fuzzy refers to combinations of artificial neural networks and fuzzy logic. Overview Neuro-fuzzy hybridization results in a hybrid intelligent system that these two techniques by combining the human ...
systems – a synergistic combination of fuzzy logic and neural networks, providing the first interpretable AI system based on neural network learning He was also on the Board of Governors for International Neural Network Society (INNIS) in 2003.


Impacts to higher education

Zadeh became the Chair of Department of Electrical Engineering at the University of California, Berkeley, in 1963. One of the lasting impacts of his leadership in this role is the expansion and the integration of computer science. He initiated and completed (in 1968) the transformation of the Electrical Engineering department at UC Berkeley to the Department of Electrical Engineering and Computer Science (EECS). This strategic move not only led UC Berkeley's advancement into the top ranks of computer science education and research, but also led other research universities globally to add computer science to their electrical engineering departments. In 1973, Lotfi Zadeh received the prestigious (Institute of Electronic and Electrical Engineers) IEEE Education Award, largely in recognition of his performance as chair of EE and then EECS. Other important services to UC Berkeley include his Academic Senate committee memberships: Academic Planning & Resource Allocation (1992–95); Committees (1969–70; 1980–81); Courses of Instruction (1975–80); and Faculty Awards (1990–92). Professor Zadeh graduated more than 50 PhD students, many of whom went on to become leaders in various areas of engineering, management and information sciences.


Personal life and beliefs

Zadeh photographed people around him. Zadeh was called "quick to shrug off nationalism, insisting there are much deeper issues in life", and was quoted as saying in an interview: "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." He noted in the same interview: "Obstinacy and tenacity, not being afraid to get embroiled in controversy – that's very much a Turkish tradition. That's part of my character, too. I can be very stubborn. That has probably been beneficial for the development of fuzzy logic." He described himself as "an American, mathematically oriented, electrical engineer of Iranian descent, born in Russia." He and his wife Fay Zadeh had two children, Stella and
Norman Zada Norman Zada (born Norman Askar Zadeh) is a former adjunct mathematics professor and an entrepreneur. He is the founder of '' Perfect 10'', an adult magazine focusing on women without cosmetic surgery, and runs the United States Investing Competition ...
. His wife wrote a book, ''My Life and Travels with the Father of Fuzzy Logic'' about their travels and experiences together, visiting "exotic places" and meeting interesting people around the world. Zadeh died in his home in Berkeley, California, on 6 September 2017, at the age of 96. He was buried at the First Alley of Honors, on 29 September 2017 in Baku, Azerbaijan, the city in which he was born. His funeral was well attended by "highly respected people." A month prior to his death, the University of Tehran had released an erroneous report that Zadeh had died, but withdrew it several days later.


Work

According to Google Scholar, as of November 2021, Zadeh's work has been cited at least 269,091 times in scholarly works, with the 1965 ''Fuzzy sets'' paper receiving at least 122,743 citations.


Fuzzy sets and systems

Zadeh, in his theory of fuzzy sets, proposed using a
membership function In mathematics, an indicator function or a characteristic function of a subset of a set is a function that maps elements of the subset to one, and all other elements to zero. That is, if is a subset of some set , one has \mathbf_(x)=1 if x ...
(with a
range Range may refer to: Geography * Range (geographic), a chain of hills or mountains; a somewhat linear, complex mountainous or hilly area (cordillera, sierra) ** Mountain range, a group of mountains bordered by lowlands * Range, a term used to i ...
covering the interval ,1 operating on the
domain Domain may refer to: Mathematics *Domain of a function, the set of input values for which the (total) function is defined **Domain of definition of a partial function **Natural domain of a partial function **Domain of holomorphy of a function * Do ...
of all possible values. He proposed new operations for the calculus of logic and showed that
fuzzy logic Fuzzy logic is a form of many-valued logic in which the truth value of variables may be any real number between 0 and 1. It is employed to handle the concept of partial truth, where the truth value may range between completely true and completely ...
was a generalisation of classical and Boolean logic. He also proposed
fuzzy number A fuzzy number is a generalization of a regular real number in the sense that it does not refer to one single value but rather to a connected set of possible values, where each possible value has its own weight between 0 and 1. This weight is call ...
s as a special case of fuzzy sets, as well as the corresponding rules for consistent mathematical operations (fuzzy arithmetic).


Fuzzy logic and artificial intelligence

Zadeh's research career has had a lasting impact on artificial intelligence (AI). Fuzzy sets and fuzzy logic are both motivated by our understanding of human cognition: that we are comfortable with concepts that have vague boundaries. This is well aligned with the
Physical symbol system A physical symbol system (also called a formal system) takes physical patterns (symbols), combining them into structures (expressions) and manipulating them (using processes) to produce new expressions. The physical symbol system hypothesis (PSSH ...
assumption in AI (by
Allen Newell Allen Newell (March 19, 1927 – July 19, 1992) was a researcher in computer science and cognitive psychology at the RAND Corporation and at Carnegie Mellon University’s School of Computer Science, Tepper School of Business, and Department ...
and Herbert A. Simon), inspired by another aspect of human cognition: that humans are comfortable with concepts that are described by symbols. The concept of a linguistic variable in fuzzy logic connects a symbol that is typically a predicate in classical logic (e.g., "John is Bold", or in predicate logic – Bold(John)) – to linguistic values (e.g., "John is somewhat bold." or in fuzzy logic – Bold(John)=Somewhat ) – which generalizes the binary value of predicate logic in two ways. First, the two possible values (True or False) in predicate logic are generalized to a continuum (typically from 0, which corresponds to False, to 1, which corresponds to True). This allows the expression of Bold(John)= 0.5, which indicates that John is midway between being devoid of boldness and being entirely bold. The second generalization enabled by fuzzy logic is to use a fuzzy set such as "somewhat bold" to describe a person's boldness level in a way that is more natural to human understanding and communication. Without this generalization, we can only describe the value of a person's boldness as a number (e.g., 0.5) or as an interval (e.g., .25, 0.75. With this generalization, one can express the semantic meaning of "somewhat bold" as a fuzzy set in the domain of 0 and 1. Zadeh was also an active contributor to the AI community, including at the
Dartmouth Workshop The Dartmouth Summer Research Project on Artificial Intelligence was a 1956 summer workshop widely consideredKline, Ronald R., Cybernetics, Automata Studies and the Dartmouth Conference on Artificial Intelligence, IEEE Annals of the History of ...
that coined the term "artificial intelligence". He was subsequently a frequent contributor to leading AI conferences such as AAAI and IJCAI, as well as other top venues such as AI Magazine.


Other contributions

Zadeh is credited, along with
John R. Ragazzini John Ralph Ragazzini (January 3, 1912 – November 22, 1988) was an American electrical engineer and a professor of Electrical Engineering. Biography Ragazzini was born in Manhattan, New York City from Italian immigrants Luigi Ragazzini an ...
, in 1952, with having 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 signal processing (DSP) is the use of digital processing, such as by computers or more specialized digital signal processors, to perform a wide variety of signal processing operations. The digital signals processed in this manner are ...
, digital control, and other discrete-time systems used in industry and research. He was an editor of the ''International Journal of Computational Cognition''. Zadeh's work also included
computing with words and perceptions In computing with words and perceptions (CWP), the objects of computation are words, perceptions, and propositions drawn from a natural language In neuropsychology, linguistics, and philosophy of language, a natural language or ordinary lang ...
. His later papers include "From Search Engines to Question-Answering Systems" and "Toward a Generalized Theory of Uncertainty (GTU)—An Outline".


Selected publications

A complete list of publications is available. * * * * * * * * * * * *


Awards and honors

Zadeh was a Fellow of the
Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers (IEEE) is a 501(c)(3) professional association for electronic engineering and electrical engineering (and associated disciplines) with its corporate office in New York City and its operation ...
, the American Academy of Arts and Sciences, the
Association for Computing Machinery The Association for Computing Machinery (ACM) is a US-based international learned society for computing. It was founded in 1947 and is the world's largest scientific and educational computing society. The ACM is a non-profit professional member ...
, the Association for the Advancement of Artificial Intelligence and the
International Fuzzy Systems Association International is an adjective (also used as a noun) meaning "between nations". International may also refer to: Music Albums * ''International'' (Kevin Michael album), 2011 * ''International'' (New Order album), 2002 * ''International'' (The T ...
, and a
member Member may refer to: * Military jury, referred to as "Members" in military jargon * Element (mathematics), an object that belongs to a mathematical set * In object-oriented programming, a member of a class ** Field (computer science), entries in ...
of the National Academy of Engineering. He was also a member of the Academies of Science of Azerbaijan, Bulgaria, Finland, Korea and Poland, and of the International Academy of Systems Studies in Moscow. He received 24 honorary doctorates. Awards received by Zadeh include, among many others: *
IEEE Education Medal The Institute of Electrical and Electronics Engineers (IEEE) is a 501(c)(3) professional association for electronic engineering and electrical engineering (and associated disciplines) with its corporate office in New York City and its operati ...
; 1973 * Eringen Medal; 1976 *
IEEE Richard W. Hamming Medal The IEEE Richard W. Hamming Medal is presented annually to up to three persons, for outstanding achievements in information sciences, information systems and information technology. The recipients receive a gold medal, together with a replica in ...
, for "seminal contributions to information science and systems, including the conceptualization of fuzzy sets"; 1992 *
American Society of Mechanical Engineers The American Society of Mechanical Engineers (ASME) is an American professional association that, in its own words, "promotes the art, science, and practice of multidisciplinary engineering and allied sciences around the globe" via "continuing ...
Rufus Oldenburger Medal; 1993. * Honorary Professorship from the Azerbaijan State Oil Academy; 1993 *
IEEE Medal of Honor The IEEE Medal of Honor is the highest recognition of the Institute of Electrical and Electronics Engineers (IEEE). It has been awarded since 1917, when its first recipient was Major Edwin H. Armstrong. It is given for an exceptional contribution ...
, for "pioneering development of fuzzy logic and its many diverse applications"; 1995 * American Automatic Control Council's Richard E. Bellman Control Heritage Award; 1998. *
ACM ACM or A.C.M. may refer to: Aviation * AGM-129 ACM, 1990–2012 USAF cruise missile * Air chief marshal * Air combat manoeuvring or dogfighting * Air cycle machine * Arica Airport (Colombia) (IATA: ACM), in Arica, Amazonas, Colombia Computing * ...
Allen Newell Award; 2001 * Outstanding Contribution Award, Web Intelligence Consortium (WIC), Halifax, Canada, 2003. * Wall of Fame, Heinz Nixdorf MuseumsForum (HNF), Paderborn, Germany, 2004. * V. Kaufmann Prize and Gold Medal, International Association for Fuzzy-Set Management and Economy (SIGEF), Barcelona, Spain, Nov. 15, 2004. * J. Keith Brimacombe IPMM Award in recognition of his development of fuzzy set theory and fuzzy logic, 2005. * Benjamin Franklin Medal in Electrical Engineering from The Franklin Institute in Philadelphia, for inventing and developing the field of "fuzzy logic"; 2009 * Induction into the IEEE Intelligent Systems' AI's Hall of Fame, 2011, "for his work on
soft computing Soft computing is a set of algorithms, including neural networks, fuzzy logic, and evolutionary algorithms. These algorithms are tolerant of imprecision, uncertainty, partial truth and approximation. It is contrasted with hard computing: al ...
, fuzzy logic, and neural-net theory". * BBVA Foundation Frontiers of Knowledge Award in the category of Information and Communication Technologies (ICT), Spain, 2012. * Honorary Doctor of the Óbuda University ( Budapest, Hungary) 2011 * Golden Goose Award, for Fuzzy Logic; 2017


Legacy

In 2014, the IEEE Systems, Man, and Cybernetics Society established the "Lotfi A. Zadeh Pioneer Award", which is given to honour a person or persons with "outstanding and pioneering contributions to academic and/or industrial research in systems science and engineering, human-machine systems, and/or cybernetics." The award is funded from a $100,000 donation from Zadeh's son, Norm Zadeh, and is administered by the IEEE. Nominees must have "pioneered and developed innovative research, executed in either academe or industry," that has resulted in major scientific advances in "systems science and engineering, human-machine systems, and/or cybernetics." Contributions must have been made at least 15 years prior to the award date. In February 2019,
ADA University ADA University (ADA) () is a university established under the Ministry of Foreign Affairs of Azerbaijan in March 2006 by Hafiz Pashayev. By the decree of President, ADA was transformed into university in 2014. When founded as the Azerbaijan Dip ...
in Baku, Azerbaijan presented the first "Lotfi Zadeh Scholarships", which honour the academic success of undergraduate students in the university's School of IT and Engineering. Winners of the scholarship receive a complete tuition waiver for the semester or semester-equivalent in which they achieved a 4.0 average. On 4 February 2021, the
IEEE Computational Intelligence Society The Institute of Electrical and Electronics Engineers (IEEE) is a 501(c)(3) professional association for electronic engineering and electrical engineering (and associated disciplines) with its corporate office in New York City and its operati ...
and the International Fuzzy Systems Association (IFSA) jointly celebrated the centenary of Zadeh's birth. On 30 November 2021, Google honored Zadeh with a Google Doodle. His seminal paper ''Fuzzy sets'' was submitted for publication on this day in 1964.


See also

* Concept of Stratification


References


Citations


General bibliography

*


Further reading

* * Zadeh, Fay. "My Life and Travels with the Father of Fuzzy Logic". 1998, TSI Press, Albuquerque, NM. * Zadeh, Lofti A. "Lotfi Visions", two-part interview with Jack J. Woehr, ''Dr. Dobb's Journal''
July 1994 (part 1)
an
August 1994 (part 2)
* * * Trillas, Enric
In Memory of L.A. Zadeh
Mathware & soft computing, ISSN-e 1134–5632, Vol. 24, Nº. 2, 2017, págs. 16-18 * I. Dzitac, F.G. Filip, M.J. Manolescu
Fuzzy Logic Is Not Fuzzy: World-renowned Computer Scientist Lotfi A. Zadeh
International Journal of Computers Communications & Control (December), Vol 12 No 6 (2017), 748–789. *


External links



, Academic profile, College of Engineering, Electrical Engineering and Computer Science, University of California, Berkeley * * Dubois, Didier; Prade, Henri. * Azerbaijan International: ** Lotfi Zadeh (interview)
Reflections on the Beginnings of "Fuzzy Logic"
in Azerbaijan International, Vol. 2:4 (1994), pp. 46–47. ** Lotfi Zadeh, Berkeley Commencement Speech

in Azerbaijan International, Vol. 6:1 (Spring 1998), p. 65. **

(reflecting on his childhood) in Azerbaijan International, Vol. 7:4 (Winter 1999), pp. 28–29. ** Lotfi Zadeh:

. Azerbaijan International, Vol. 2:4 (Winter 1994), p. 49. * Lotfi Zadeh, Honorary Chair and Keynote Speaker
ICCCC 2008
Agora University of Oradea The agora (; grc, ἀγορά, romanized: ', meaning "market" in Modern Greek) was a central public space in ancient Ancient Greece, Greek polis, city-states. It is the best representation of a city-state's response to accommodate the social a ...
* {{DEFAULTSORT:Zadeh, Lotfali 1921 births 2017 deaths Artificial intelligence researchers Alborz High School alumni Columbia School of Engineering and Applied Science alumni Control theorists Fellows of the Association for Computing Machinery IEEE Medal of Honor recipients Fellow Members of the IEEE Azerbaijani logicians American logicians American computer scientists Iranian scientists Scientists from Baku Richard E. Bellman Control Heritage Award recipients Systems scientists UC Berkeley College of Engineering faculty Columbia University faculty MIT School of Engineering alumni University of Tehran alumni Iranian electrical engineers Members of the United States National Academy of Engineering Iranian expatriate academics American people of Azerbaijani-Jewish descent Soviet emigrants to Iran Iranian emigrants to the United States Soviet Azerbaijani people Burials at Alley of Honor Iranian logicians American people of Russian-Jewish descent Azerbaijani people of Iranian descent Azerbaijani people of Jewish descent