Research articles

Parameterized continuous models of fuzzy reasoning

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  • Department of Mathematics, College of Science, Shantou University, Shantou 515063, China;

Published date: 05 Jun 2010

Abstract

In this paper, the ideas of universal logic is introduced into fuzzy systems. After giving the definitions of the softened fuzzy reasoning models based on Schweizer-Sklar t-norms and Schweizer-Sklar implications, i.e., α-models and β-models, we give the sufficient and necessary conditions for these models to be continuous, and discuss the continuity of some commonly used models. We also prove that when an α-model or a β-model is used as a fuzzy controller, it has universal property with respect to function approximation. The results we obtained show that α-models and β-models are more flexible than the existing models in applications.

Cite this article

Minqiang GU, . Parameterized continuous models of fuzzy reasoning[J]. Frontiers of Electrical and Electronic Engineering, 2010 , 5(2) : 147 -153 . DOI: 10.1007/s11460-009-0079-x

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