ArticleslgStudy

mathematics

Lotfi A. Zadeh

Lotfi A. Zadeh is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Lotfi A. Zadeh rather than just read about it. In short: Lotfi Aliasger Zadeh (; Azerbaijani: Lütfəli Rəhim oğlu Ələsgərzadə; Persian: 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, consisting of several fuzzy-related concepts: fuzzy sets…

Lotfi A. Zadeh — main illustration
Lotfi A. Zadeh — illustration

Key takeaways

  • Lotfi A. Zadeh belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Lotfi A. Zadeh to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Lotfi A. Zadeh from memory before moving on to harder problems.

Reference excerpt

Lotfi Aliasger Zadeh (; Azerbaijani: Lütfəli Rəhim oğlu Ələsgərzadə; Persian: 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, 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, as Lotfi Aliasgerzadeh. His father was Rahim Aleskerzade, a Muslim, Iranian Azerbaijani 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. The Soviet government at this time courted foreign correspondents, and the family lived well while in Baku. 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.

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. 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.

… excerpt ends here. Continue reading the full article.

Illustrations

Lotfi A. Zadeh illustration
Lotfi A. Zadeh: Stamp of Azerbaijan dedicated to the 100th anniversary of Lotfi A. Zadeh
Stamp of Azerbaijan dedicated to the 100th anniversary of Lotfi A. Zadeh
Lotfi A. Zadeh: Grave of Lotfi A. Zadeh in Baku.
Grave of Lotfi A. Zadeh in Baku.

Worked examples

Example 1 — a first encounter with Lotfi A. Zadeh

Start with the simplest possible case. Write down what Lotfi A. Zadeh claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Lotfi A. Zadeh before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Lotfi A. Zadeh ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Lotfi A. Zadeh

In research
Lotfi A. Zadeh appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Lotfi A. Zadeh in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Lotfi A. Zadeh is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1921 births, 2017 deaths, 20th-century Iranian mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Lotfi A. Zadeh outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “Lotfi A. Zadeh” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Lotfi A. Zadeh in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Lotfi A. Zadeh means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Lotfi A. Zadeh out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Lotfi A. Zadeh in simple terms?

Lotfi Aliasger Zadeh (; Azerbaijani: Lütfəli Rəhim oğlu Ələsgərzadə; Persian: 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, B…

Why does Lotfi A. Zadeh matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Lotfi A. Zadeh?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Lotfi A. Zadeh.

Tags

  • 1921 births
  • 2017 deaths
  • 20th-century Iranian mathematicians
  • 21st-century Iranian mathematicians
  • Alborz High School alumni
  • American computer scientists
  • American logicians
  • American people of Azerbaijani-Jewish descent
  • American people of Russian-Jewish descent
  • Artificial intelligence researchers
  • Azerbaijani logicians
  • Azerbaijani people in the Soviet Union

Keep exploring