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Foundational contributions of K. Asai and H. Tanaka to fuzzy optimization. (English) Zbl 1373.90002

Summary: The first researchers to publish an operationalization of R. E. Bellman and L. A. Zadeh’s original approach to “Decision making in a fuzzy environment” [Manage. Sci., Appl. 17, B141–B164 (1970; Zbl 0224.90032)] were H. Tanaka and K. Asai in their 1973 article [“Fuzzy mathematical programming”, Trans. Soc. Instrum. Control Eng. 9, No. 5, 607–613 (1973; doi:10.9746/sicetr1965.9.607)] which was published in English in 1974 [H. Tanaka et al., J. Cybern. 3, No. 4, 37–46 (1973; Zbl 0297.90098)]. These two researchers developed many fundamental theories and methods including novel concepts of fuzzy operations research [K. Asai (ed.) and H. Tanaka (ed.), Fuzzy OR. Lecture Series on Fuzzy 6. Tokyo: Nikkan-Kogyo-Shimbun (1993)] with their collaborators. They went beyond the original proposal for fuzzy optimization set forth by Bellman/Zadeh. They are important founders of fuzzy optimization. This paper gives an overview of their great contributions to fuzzy optimization.

MSC:

90-03 History of operations research and mathematical programming
01A60 History of mathematics in the 20th century
01A70 Biographies, obituaries, personalia, bibliographies
90C70 Fuzzy and other nonstochastic uncertainty mathematical programming

Biographic References:

Tanaka, Hideo; Asai, Kiyoji
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References:

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