Wednesday, February 10, 2010

#85. Old papers by Huibert Kwakernaak

Kwakernaak's old papers in which he first defines fuzzy random variables.

Huibert Kwakernaak (1978). Fuzzy random variables- I. Definitions and theorems. Information Sciences 15, 1-29.

Huibert Kwakernaak (1979). Fuzzy random variables- II. Algorithms and examples for the discrete case. Information Sciences 17, 253-278.

There is a very interesting historical issue. The core idea "fuzzy+random" was generated independently a number of times in the late seventies, e.g. Féron's fuzzy random set (1976), Hirota's probabilistic set (1977) and Nahmias's fuzzy variable in a random environment (1979). The question is, why all at the same time and why it was that, particularly, fuzzy random variables triggered other researchers' continued work.

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