NORMAL FORMS FOR FUZZY LOGIC — AN APPLICATION OF KOLMOGOROV’S THEOREM
- 1 August 1996
- journal article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
- Vol. 4 (4) , 331-349
- https://doi.org/10.1142/s0218488596000196
Abstract
This paper addresses mathematical aspects of fuzzy logic. The main results obtained in this paper are: 1. the introduction of a concept of normal form in fuzzy logic using hedges; 2. using Kolmogorov’s theorem, we prove that all logical operations in fuzzy logic have normal forms; 3. for min-max operators, we obtain an approximation result similar to the universal approximation property of neural networks.Keywords
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