Biography:Lotfi A. Zadeh

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Short description: American electrical engineer and computer scientist (1921–2017)
Lotfi A. Zadeh
Lotfi Zadeh Berkeley c.jpg
(2016)
Born
Lotfi Aliaskerzadeh

(1921-02-04)4 February 1921
Baku, Azerbaijan Soviet Socialist Republic
Died6 September 2017(2017-09-06) (aged 96)[1][2]
Berkeley, California, US[3]
Alma mater
Known forFounder of fuzzy mathematics,
fuzzy set theory, and fuzzy logic, Z numbers, Z-transform
Spouse(s)Fay Zadeh
Children2, including Norman Zada
AwardsEringen Medal (1976)
IEEE Hamming Medal (1992)[1]
Rufus Oldenburger Medal (1993)
IEEE Medal of Honor (1995)[1]
2012 BBVA Foundation Frontiers of Knowledge Award
Honorary Doctorate of Tehran University (2016)[4]
ACM Fellow
IEEE Fellow
AAAS Fellow
AAAI Fellow
Member of the National Academy of Engineering
Founding Member of Eurasian Academy
Scientific career
Fields
InstitutionsUniversity of California, Berkeley
ThesisFrequency analysis of variable networks (1949)
Doctoral advisorJohn R. Ragazzini
Doctoral students

Lotfi Aliasker Zadeh[5] (/ˈzɑːdeɪ/; Azerbaijani: Lütfi Rəhim oğlu Ələsgərzadə;[6] Persian: لطفی علی‌عسکرزاده‎;[4] 4 February 1921 – 6 September 2017)[1][2] was a mathematician, computer scientist, electrical engineer, artificial intelligence researcher, and professor[7] of computer science at the University of California, Berkeley. Zadeh is best known for proposing fuzzy mathematics, consisting of several fuzzy-related concepts: fuzzy sets,[8] fuzzy logic,[9] fuzzy algorithms,[10] fuzzy semantics,[11] fuzzy languages,[12] fuzzy control,[13] fuzzy systems,[14] fuzzy probabilities,[15] fuzzy events,[15] and fuzzy information.[16] Zadeh was a founding member of the Eurasian Academy.[1][17]

Early life and career

Azerbaijan

Zadeh was born in Baku, Azerbaijan SSR,[18] as Lotfi Aliaskerzadeh.[19] His father was Rahim Aleskerzade, an Iranian Muslim Azerbaijani journalist from Ardabil on assignment from Iran,[citation needed] and his mother was Fanya (Feyga[20]) Korenman, a Jewish pediatrician from Odesa, Ukraine, who was an Iranian citizen.[21][22][23][24] The Soviet government at this time courted foreign correspondents, and the family lived well while in Baku.[25] Zadeh attended elementary school for three years there,[25] which he said "had a significant and long-lasting influence on my thinking and my way of looking at things."[26]

Iran

In 1931, when Stalin began agricultural collectivization,[20] and Zadeh was ten, his father moved his family back to Tehran, Iran. Zadeh was enrolled in Alborz High School, a missionary school,[20] where he was educated for the next eight years, and where he met his future wife,[25] Fay (Faina[20]) 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."[26] During this time, Zadeh was awarded several patents.[25]

Zadeh sat for the Iran national university exams and placed third in the nation.[25] 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, 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.[27]

United States

In 1943, Zadeh decided to leave for the United States to continue his education.[20] 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.[citation needed] He arrived in mid-1944, lived in New York and worked for an electronic association,[20] and entered the Massachusetts Institute of Technology (MIT) as a graduate student in September that year.[27][20] 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.[19] He received an MS degree 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.[20] Zadeh then applied to Columbia University.[27][20] Columbia admitted him as a doctoral student and offered him an instructorship as well.[27] He received his PhD in electrical engineering from Columbia in 1949 and became an assistant professor the next year.[24][27] 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.[20] 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.[28]

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, Linear System Theory: The State Space Approach, laid a critical foundation for all modern approaches to system analysis and control.[29] 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. 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 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.[30]

Personal life and beliefs

Photographs
Zadeh, at his office, with camera, 1988[3]
Zadeh, self-portrait[31][32]
Claude Shannon, by Zadeh[31]
Edgar Varese, by Zadeh[31]
Fay Zadeh, by Zadeh[31]
Fay and Lotfi, by Zadeh[31]
Rahim Zadeh, by Zadeh[31]

Zadeh photographed people around him.[31]

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."[33] 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."[34] He described himself as "an American, mathematically oriented, electrical engineer of Iranian descent, born in Russia."[24]

He and his wife Fay Zadeh had two children, Stella and Norman Zada. His wife wrote a book, My Life and Travels with the Father of Fuzzy Logic[35] about their travels and experiences together, visiting "exotic places" and meeting interesting people around the world.

Zadeh died in his home in Berkeley, California,[3] on 6 September 2017, at the age of 96.[1][2][unreliable source?] He was buried at the First Alley of Honors, on 29 September 2017[36] in Baku, Azerbaijan, the city in which he was born.[3] His funeral was well attended by "highly respected people."[37] 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.[38]

Work

Stamp of Azerbaijan dedicated to the 100th anniversary of Lotfi A. Zadeh

According to Google Scholar, as of November 2021, Zadeh's work has been cited at least 269,091 times in scholarly works,[39] with the 1965 Fuzzy sets paper receiving at least 122,743 citations.[40]

Fuzzy sets and systems

Zadeh, in his theory of fuzzy sets, proposed using a membership function (with a range covering the interval [0,1]) operating on the domain of all possible values. He proposed new operations for the calculus of logic and showed that fuzzy logic was a generalisation of classical and Boolean logic. He also proposed fuzzy numbers as a special case of fuzzy sets, as well as the corresponding rules for consistent mathematical operations (fuzzy arithmetic).[41]

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 assumption in AI (by Allen Newell 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., [0.25, 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 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, 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 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. His later papers include "From Search Engines to Question-Answering Systems"[42] and "Toward a Generalized Theory of Uncertainty (GTU)—An Outline".[43]

Selected publications

A complete list of publications is available.[44]

Lectures

  • 1991 - Fuzzy logic: principles, perspectives, and applications Lecture sponsored by the Dept. of Electrical and Computer engineering, University of California, San Diego. Electrical and Computer Engineering Distinguished Lecture Series. Digital Object Made Available by Special Collections & Archives, UC San Diego.

Awards and honors

Grave of Lotfi A. Zadeh in Baku.

Zadeh was a Fellow of the Institute of Electrical and Electronics Engineers, the American Academy of Arts and Sciences, the Association for Computing Machinery, the Association for the Advancement of Artificial Intelligence and the International Fuzzy Systems Association, and a member of the National Academy of Engineering.[5] 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.[7]

Awards received by Zadeh include, among many others:

  • IEEE Education Medal; 1973[45]
  • Eringen Medal; 1976
  • IEEE Richard W. Hamming Medal, for "seminal contributions to information science and systems, including the conceptualization of fuzzy sets"; 1992[1][46]
  • American Society of Mechanical Engineers Rufus Oldenburger Medal; 1993.[47]
  • Honorary Professorship from the Azerbaijan State Oil Academy; 1993
  • IEEE Medal of Honor, for "pioneering development of fuzzy logic and its many diverse applications"; 1995[1][48]
  • American Automatic Control Council's Richard E. Bellman Control Heritage Award; 1998.[49]
  • ACM 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, fuzzy logic, and neural-net theory".[50]
  • 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[51]
  • Golden Goose Award, for Fuzzy Logic; 2017[52]

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.[53]

In February 2019, ADA University 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.[54]

On 4 February 2021, the IEEE Computational Intelligence Society and the International Fuzzy Systems Association (IFSA) jointly celebrated the centenary of Zadeh's birth.[55]

On 30 November 2021, Google honored Zadeh with a Google Doodle.[56][57] His seminal paper Fuzzy sets was submitted for publication on this day in 1964.[8][56]

See also

  • Concept of Stratification

References

Citations

  1. ↑ 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 Crowley, Magdalene L. (2017-09-06). "Lotfi Zadeh has passed away" (in en-us). UC Berkeley College of Engineering. https://eecs.berkeley.edu/news/2017/09/lotfi-zadeh-has-passed-away. "CS Prof. Lotfi Zadeh, known as the Father of Fuzzy Logic, passed away on the morning of September 6, 2017. He was 96. Zadeh touched many lives and had a tremendous impact on many scientific and technological fields. He is best known as the founder of fuzzy mathematics, fuzzy set theory, fuzzy logic, Z numbers and Z-transform. He won many awards including the IEEE Medal of Honor, the Honda Prize, the Okawa Prize, and the IEEE Hamming Medal. He was a founding member of the Eurasian Academy and a member of the Silicon Valley Engineering Hall of Fame. A state funeral will be held in his birth city of Baku, Azerbaijan." 
  2. ↑ 2.0 2.1 2.2 "Lotfi Zadeh dead: Computing revolutionary and founder of fuzzy logic dies aged 96". International Business Times. 2017-09-12. https://www.ibtimes.co.uk/lotfi-zadeh-dead-computing-revolutionary-founder-fuzzy-logic-dies-aged-96-1638636. "Lotfali Rahim Oglu Asgarzadeh, better known as Lotfi A. Zadeh, was an Iranian mathematician, artificial intelligence researcher and professor of computer science at the University of California. He died on 6 September at 7.30 am it was confirmed by close friend." 
  3. ↑ 3.0 3.1 3.2 3.3 Metz, Cade (2017-09-11). "Lotfi Zadeh, Father of Mathematical 'Fuzzy Logic,' Dies at 96" (in en-us). The New York Times. ISSN 0362-4331. OCLC 1645522. https://www.nytimes.com/2017/09/11/science/lotfi-zadeh-father-of-mathematical-fuzzy-logic-dies-at-96.html. "Lotfi Zadeh, the computer scientist and electrical engineer whose theories of "fuzzy logic" rippled across academia and industry, influencing everything from linguistics, economics and medicine to air-conditioners, vacuum cleaners and rice cookers, died on Wednesday at his home in Berkeley, Calif. He was 96." 
  4. ↑ 4.0 4.1 "Granting honorary doctorate from Tehran University to professor Lotfizadeh" (in fa). Tehran, Iran. March 9, 2016. http://ut.ac.ir/fa/news/3017/%D8%A7%D8%B9%D8%B7%D8%A7%DB%8C-%D8%AF%DA%A9%D8%AA%D8%B1%D8%A7%DB%8C-%D8%A7%D9%81%D8%AA%D8%AE%D8%A7%D8%B1%DB%8C-%D8%AF%D8%A7%D9%86%D8%B4%DA%AF%D8%A7%D9%87-%D8%AA%D9%87%D8%B1%D8%A7%D9%86-%D8%A8%D9%87-%D9%BE%D8%B1%D9%88%D9%81%D8%B3%D9%88%D8%B1-%D9%84%D8%B7%D9%81%DB%8C-%D8%B2%D8%A7%D8%AF%D9%87. 
  5. ↑ 5.0 5.1 "Dr. Lotfi A. Zadeh was elected in 1973 as a member of National Academy of Engineering in Computer Science & Engineering and Electronics, Communication & Information Systems Engineering.". http://www.nae.edu/MembersSection/MemberDirectory/28316.aspx. 
  6. ↑ "Diasporla İş üzrə Dövlət Komitəsi". http://diaspora.gov.az/index.php?options=content&id=619. 
  7. ↑ 7.0 7.1 "Lotfi A. Zadeh: Former Professor Emeritus" (in en-us). UC Berkeley College of Engineering. n.d.. https://www2.eecs.berkeley.edu/Faculty/Homepages/zadeh.html. "Lotfi Zadeh was a Professor in the Graduate School of the Computer Science Division of Berkeley EECS. He also e served as the Director of BISC (Berkeley Initiative in Soft Computing). Lotfi Zadeh passed away on September 6, 2017. Zadeh was an alumnus of the University of Tehran, MIT and Columbia University. From 1950 to 1959, he was a member of the Department of Electrical Engineering, Columbia University. He joined the Department of Electrical Engineering at UC Berkeley in 1959 and served as its Chair from 1963 to 1968. During his tenure as Chair, he played a key role in changing the name of the Department from EE to EECS. He held visiting appointments at the Institute for Advanced Study, Princeton, NJ; MIT, Cambridge, MA; IBM Research Laboratory, San Jose, CA; AI Center, SRI International, Menlo Park, CA; and the Center for the Study of Language and Information, Stanford University." 
  8. ↑ 8.0 8.1 Information and Control , Wikidata Q25938993
  9. ↑   , Wikidata Q56157601
  10. ↑   (1968-02-01). "Fuzzy algorithms" (in en). Information and Control (San Diego, California: Academic Press) 12 (2): 94–102. doi:10.1016/S0019-9958(68)90211-8. ISSN 0019-9958. OCLC 871736339. 
  11. ↑   (1971). "Quantitative fuzzy semantics". Information Sciences 3 (2): 159–176. doi:10.1016/S0020-0255(71)80004-X. 
  12. ↑ Lee, E. T.; Zadeh, L. A. (1969). "Note on fuzzy languages". Information Sciences 1 (4): 421–434. doi:10.1016/0020-0255(69)90025-5. 
  13. ↑   (1972). "A Rationale for Fuzzy Control". Journal of Dynamic Systems, Measurement, and Control 94: 3. doi:10.1115/1.3426540. 
  14. ↑ Zadeh, L. (1969). "Toward a theory of fuzzy systems". https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19690027655.pdf. 
  15. ↑ 15.0 15.1   (1984). "Fuzzy probabilities". Information Processing & Management 20 (3): 363–372. doi:10.1016/0306-4573(84)90067-0. 
  16. ↑   (1997). "Toward a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic". Fuzzy Sets and Systems 90 (2): 111–127. doi:10.1016/S0165-0114(97)00077-8. 
  17. ↑ "Eurasian Academy Official Site". http://eurasia-academy.org/?page_id=54%2F. 
  18. ↑ At this time, the Azerbaijan SSR was an independent republic, created by the Red Army. It would become part of the Transcaucasian Socialist Federative Soviet Republic in March 1922, and then part of the Soviet Union in December 1922.
  19. ↑ 19.0 19.1 McNeil & Freiberger, p. 17
  20. ↑ 20.0 20.1 20.2 20.3 20.4 20.5 20.6 20.7 20.8 20.9 Samad, Mohbaddin (Summer 2009). "A Phenomenon in Modern Science or Who Are You Lotfi Zadeh?" (in en). Visions of Azerbaijan Magazine (Volume 4.2). http://www.visions.az/en/news/49/2bbd742d/. "...mother Feyga and wife Faina...wife Faina, son Norman and daughter Stella...mother Feyga, father Rahim...(Mohbaddin Samad is the screen writer of the documentary film Far and Near Lotfi Zadeh (in Azerbaijani and English) and the author of a book about Lotfi Zadeh, The World Cannot Survive Without Geniuses)" 
  21. ↑ Zadeh, Lotfi A (2015-05-21). "Fuzzy logic—a personal perspective". Fuzzy Sets and Systems 281: 4–20. doi:10.1016/j.fss.2015.05.009. 
  22. ↑ "Jews in Computer & Information Science" on the JINFO.org website
  23. ↑ Анвар Унугви "Жанет Селимова" (Memoirs of Lotfi A. Zadeh's cousin in Baku, theatrical director, professor Zhanet Selimova).
  24. ↑ 24.0 24.1 24.2 Gale, Thomson. Lotfi Asker Zadeh Biography World of Computer Science
  25. ↑ 25.0 25.1 25.2 25.3 25.4 McNeil & Freiberger, p. 18
  26. ↑ 26.0 26.1 Blair, Betty. Interview with Lotfi Zadeh (December 1999) in "Famous People: Then and Now Lotfi Zadeh, Creator of Fuzzy Logic (1921– )" Azerbaijan International (7.4) (Winter 1999)
  27. ↑ 27.0 27.1 27.2 27.3 27.4 McNeil & Freiberger, p. 19
  28. ↑ "Lotfi A. Zadeh". https://www.gf.org/fellows/all-fellows/lotfi-a-zadeh/. 
  29. ↑ Zadeh, Lotfi and Desoer, Charles, Linear System Theory: The State Space Approach, Courier Dover Publications, 2008 (reprint).
  30. ↑ Lotfi A Zadeh, Academic Senate, University of California
  31. ↑ 31.0 31.1 31.2 31.3 31.4 31.5 31.6 Crowley, Magdalene L. (27 February 2018). "Portraits by Lotfi Zadeh". UC Berkeley. https://newsletter.eecs.berkeley.edu/2018/02/zadeh-portraits/. 
  32. ↑ Roberts, Siobhan (19 September 2017). "Remembering Lotfi Zadeh, the Inventor of Fuzzy Logic". The New Yorker (Condé Nast). https://www.newyorker.com/tech/annals-of-technology/remembering-lotfi-zadeh-the-inventor-of-fuzzy-logic. 
  33. ↑ Blair, Betty. "Short Biographical Sketch" . Azerbaijan International, Vol. 2:4 (Winter 1994), p. 49.
  34. ↑ Blair, Betty. "Interview with Lotfi Zadeh, Creator of Fuzzy Logic" . Azerbaijan International, Vol. 2:4 (Winter 1994), pp. 46 ff.
  35. ↑ Zadeh, Fay, "My Life and Travels with the Father of Fuzzy Logic", TSI Press, 1998.
  36. ↑ "Prominent scientist Lotfi Zadeh buried in Baku - PHOTO" (in en). 29 September 2017. https://www.azernews.az/nation/119740.html. "...Lotfi Zadeh was laid to rest at the First Alley of Honors in Baku on September 29. State and government officials, scientists and representatives of the general public attended the funeral, Azertac reported..." 
  37. ↑ Brewer, Jared and Shakeel, Azwar (September 17, 2017) "UC Berkeley professor, creator of 'fuzzy logic' Lotfi Zadeh dies at 96" The Daily Californian
  38. ↑ "Lotfi Zadeh, Father Of Fuzzy Logic Dies At 96" (in en). Radio Farda. 11 September 2017. https://en.radiofarda.com/a/iranian-mathematician-lotfi-zadeh-dies/28729659.html. 
  39. ↑ "Lotfi A. Zadeh". https://scholar.google.com/citations?user=S6H-0RAAAAAJ&hl=en. "All Citations: 269091" 
  40. ↑ Zadeh, Lotfi (1965). "Fuzzy Sets". https://scholar.google.com/citations?view_op=view_citation&hl=en&user=S6H-0RAAAAAJ&citation_for_view=S6H-0RAAAAAJ:QKtdBID3u5MC. "Total citations: Cited by 122743" 
  41. ↑ McNeil & Freiberger, passim
  42. ↑ Zadeh, Lotfi A. (2006). "From search engines to question answering systems—The problems of world knowledge, relevance, deduction and precisiation". in Sanchez, Elie. Fuzzy Logic and the Semantic Web. Capturing Intelligence. 1. Elsevier. pp. 163–210. doi:10.1016/S1574-9576(06)80011-0. ISBN 9780444519481. OCLC 62475292. https://archive.org/details/fuzzylogicsemant0000unse/page/163. 
  43. ↑ Zadeh, Lotfi A. (June 2005). "Toward a generalized theory of uncertainty (GTU)—an outline". Information Sciences 172 (1): 1–40. doi:10.1016/j.ins.2005.01.017. 
  44. ↑ "Faculty Publications - Lotfi A. Zadeh" (in en-us). UC Berkeley College of Engineering. https://www2.eecs.berkeley.edu/Pubs/Faculty/zadeh.html. 
  45. ↑ "IEEE James H. Mulligan, Jr. Education Medal Recipients". IEEE. http://www.ieee.org/documents/education_rl.pdf. 
  46. ↑ "IEEE Richard W. Hamming Medal Recipients". IEEE. http://www.ieee.org/documents/hamming_rl.pdf. 
  47. ↑ "Rufus Oldenburger Medal". American Society of Mechanical Engineers. http://www.asme.org/about-asme/honors-awards/achievement-awards/rufus-oldenburger-medal. 
  48. ↑ "IEEE Medal of Honor Recipients". IEEE. http://www.ieee.org/documents/moh_rl.pdf. 
  49. ↑ "Richard E. Bellman Control Heritage Award". American Automatic Control Council. http://a2c2.org/awards/richard-e-bellman-control-heritage-award. 
  50. ↑ "AI's Hall of Fame". IEEE Intelligent Systems 26 (4): 5–15. 2011. doi:10.1109/MIS.2011.64. http://www.computer.org/cms/Computer.org/ComputingNow/homepage/2011/0811/rW_IS_AIsHallofFame.pdf. Retrieved 2015-09-04. 
  51. ↑ "Tudósítás Prof. Dr. Lotfi A. Zadeh díszdoktoravatásáról" (in hu). 2011-11-08. http://news.uni-obuda.hu/articles/2011/11/08/tudositas-prof-dr-lotfi-a-zadeh-diszdoktoravatasarol. "A Nobel-díjas Dr. Oláh György díszdoktorrá avatását követően Prof. Dr. Lotfi A. Zadeh, az University of California, Berkeley professzora, a Berkeley Initiative in Soft Computing (BISC) intézet igazgatója részesült Doctor Honoris Causa kitüntetésben 2011. november 7-én." 
  52. ↑ "2017: Fuzzy Logic, Clear Impact" (in en-US). https://www.goldengooseaward.org/awardees/fuzzy-logic. 
  53. ↑ "Lotfi A. Zadeh Pioneer Award" IEEE Systems, Man, and Cybernetics Society website
  54. ↑ Staff (25 February 2019) "Presentation of Inaugural Lotfi Zadeh Scholarships" ADA University website
  55. ↑ Staff (April 15, 2021) "Celebrating the centenary of Lotfi A. Zadeh (1921–2017)" IEEE.TV
  56. ↑ 56.0 56.1 "Celebrating Lotfi Zadeh" (in en). https://www.google.com/doodles/celebrating-lotfi-zadeh. 
  57. ↑ Kim, Soo (30 November 2021). "Google Doodle honors Lotfi Zadeh, the late Azerbaijani American scientist" (in en). Newsweek. https://www.newsweek.com/google-doodle-lotfi-zadeh-scientist-fuzzy-logic-mathematical-concept-1654317. 

General bibliography

Further reading

External links



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