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Inference methods for fuzzy systems with non-singleton fuzzification

V. G. Sinuk, S. V. Kulabukhov

Belgorod Shukhov State Technological University, Belgorod, Russia

Abstract: The paper derives the inference result for widely used fuzzy systems in case of nonsingleton fuzzification. It is achieved by means of the approach based on the fuzzy truth values, which made it possible to reduce the computational complexity of the inference down to polynomial and to generalize the conditions for logical inference. The most commonly used defuzzification methods in applications were considered along with the obtained expressions of inference result.

Keywords: fuzzy truth values, computational complexity, firing level.

DOI: 10.14357/20718632230211

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