Lotfi Aliasger Zadeh (; ; ; Russian: Лютфали Рагим оглы Алескерзаде 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, consisting of several fuzzy-related concepts: fuzzy sets, fuzzy logic, fuzzy algorithms, fuzzy semantics, fuzzy languages, fuzzy control, fuzzy systems, 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, Azerbaijan SSR,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. as Lotfi Aliasgerzadeh.McNeil & Freiberger, p. 17 His father was Rahim Aleskerzade, a Muslim, Iranian AzerbaijaniBlair, Betty (winter 1994) "Interview with Lotfi Zadeh" Azerbaijan International. "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" http://azer.com/aiweb/categories/magazine/24_folder/24_articles/24_fuzzylogic.html journalist from Ardabil on assignment from Iran, and his mother was Fanya (Feyga) Korenman, a Jewish pediatrician from Odesa, Ukraine, who was an Iranian citizen."Jews in Computer & Information Science" on the JINFO.org websiteАнвар Унугви "Жанет Селимова" (Memoirs of Lotfi A. Zadeh's cousin in Baku, theatrical director, professor Zhanet Selimova).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."

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.

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, 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 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 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, Linear System Theory: The State Space Approach, laid a critical foundation for all modern approaches to system analysis and control.Zadeh, Lotfi and Desoer, Charles, Linear System Theory: The State Space Approach, Courier Dover Publications, 2008 (reprint). 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 (INNS) 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, 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.Lotfi A Zadeh, Academic Senate, University of California

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. 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."Brewer, Jared and Shakeel, Azwar (September 17, 2017) "UC Berkeley professor, creator of 'fuzzy logic' Lotfi Zadeh dies at 96" The Daily Californian 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 (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).McNeil & Freiberger, passim

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.