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JOURNALS // Artificial Intelligence and Decision Making // Archive

Artificial Intelligence and Decision Making, 2012 Issue 3, Pages 19–25 (Mi iipr436)

Soft computing

Probability theory and fuzzy sets theory of L. Zadeh: the difference and the similarity

M. I. Aliev, E. A. Isayeva, I. M. Aliev

Institute of Physics Azerbaijan Academy of Sciences

Abstract: Logical operations being made by artificial intelligence will be based on many valued logic, but better to say, on fuzzy logic. Here we the preference to use the fuzzy sets theory of Zadeh. Physical phenomena being “perceived” by artificial intelligence can be considered as events. In the probability theory any event can be divided on many elementary events which take place or not take place. But in the fuzzy sets theory of L.Zadeh these elementary events are not only 0 or 1, but may be described by also with the membership function that takes values from [0,1] interval.

Keywords: inaccuracy, randomness, fuzziness, Kolmogorov’s axiomatic, probabilistic measure, indicator, membership function.



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