Lotfi Zadeh, Fuzzy Sets, and I: A Personal Odyssey

When I immigrated to the United States in 1966 (see [1] for details), I was fortunate to begin my academic career at UCLA. Although I taught courses in computer architecture and design, I was primarily interested at that time in developing a general theory of systems. This motivated me to arrange a meeting with Lotfi Zadeh in Berkeley shortly after I settled in Los Angeles. I knew and admired his work in system theory, and I wanted to exchange ideas with him in this area. The meeting went very well. When I was about to leave, he mentioned that he had just embarked on research in a radically new area – a theory of fuzzy sets. He gave me a signed reprint of his paper, published just a few months before my visit, in which he outlined basic ideas of this envisioned new area [2]. This was my first acquaintance with Lotfi Zadeh and with fuzzy sets, which influenced my academic life in a profound way. As is explained later, fuzzy set theory has eventually become one of my primary research interests, and Lotfi and I have developed a close relationship and friendship.

[1]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[2]  George J. Klir,et al.  Systems Profile: The Emergence of Systems Science , 1991 .

[3]  G. Klir,et al.  Generalized information theory , 1991 .

[4]  G. Klir IS THERE MORE TO UNCERTAINTY THAN SOME PROBABILITY THEORISTS MIGHT HAVE US BELIEVE , 1989 .

[5]  George J. Klir,et al.  Measures of uncertainty for imprecise probabilities: An axiomatic approach , 2010, Int. J. Approx. Reason..

[6]  G. Klir,et al.  Fuzzy logic in geology , 2004 .

[7]  L. Zadeh,et al.  Fuzzy sets and applications : selected papers , 1987 .

[8]  Lotfi A. Zadeh,et al.  The Concepts of a Linguistic Variable and its Application to Approximate Reasoning , 1975 .

[9]  Petr Hájek,et al.  Metamathematics of Fuzzy Logic , 1998, Trends in Logic.

[10]  George J. Klir,et al.  Concepts and Fuzzy Logic , 2011 .

[11]  George J. Klir,et al.  Fuzzy sets, uncertainty and information , 1988 .

[12]  George J. Klir Correspondence systems profile , 1988 .

[13]  D. H. Schaefer,et al.  Computers: Beyond the supercomputer: NASA is developing ultrafast machines to process satellite data that would choke a mere supercomputer , 1982, IEEE Spectrum.

[14]  J. Goguen L-fuzzy sets , 1967 .

[15]  George J. Klir,et al.  Fuzzy sets and fuzzy logic - theory and applications , 1995 .

[16]  G. Klir,et al.  Generalized Measure Theory , 2008 .

[17]  Paul P. Wang,et al.  Advances in fuzzy theory and technology , 1993 .

[18]  George J. Klir,et al.  Applications of fuzzy sets and approximate reasoning , 1994, Proc. IEEE.

[19]  George J. Klir,et al.  Fuzzy Sets, Fuzzy Logic, and Fuzzy Systems - Selected Papers by Lotfi A Zadeh , 1996, Advances in Fuzzy Systems - Applications and Theory.

[20]  L. Zadeh Fuzzy sets as a basis for a theory of possibility , 1999 .

[21]  Alex Meystel,et al.  CHAPTER 1 – Outline of a Computational Theory of Perceptions Based on Computing with Words , 2000 .

[22]  Edward Beltrami,et al.  Uncertainty and Information , 2020, What Is Random?.

[23]  J. A. Goguen,et al.  The logic of inexact concepts , 1969, Synthese.

[24]  D.G. Schwartz,et al.  Fuzzy logic flowers in Japan , 1992, IEEE Spectrum.

[25]  Lotfi A. Zadeh,et al.  Toward a generalized theory of uncertainty (GTU)--an outline , 2005, Inf. Sci..