Topic
Fuzzy associative matrix
About: Fuzzy associative matrix is a research topic. Over the lifetime, 8027 publications have been published within this topic receiving 194790 citations.
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TL;DR: A hybrid neuro-fuzzy control strategy and its corresponding rule generating approach is proposed, which results in the number of control rules being significantly reduced without decreasing the control performance.
61 citations
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TL;DR: Treating images as fuzzy relations, two algorithms of generating eigen fuzzy sets that are used in the reconstruction process are proposed and it is confirmed that the approximation error of the first algorithm is decreased to 41.5% of that of the conventional one.
61 citations
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TL;DR: A combined approach for discrete-time fuzzy model identification is proposed and a recursive identification algorithm based on the prediction-error method is derived for optimally resolving the numerical fuzzy relational equation by minimizing a quadratic performance index.
Abstract: A combined approach for discrete-time fuzzy model identification is proposed. By this approach, the identification is performed in two stages. First, the linguistic approach is utilized to obtain an approximate fuzzy relation from the sampled nonfuzzy input-output data. This approximate fuzzy relation is then used as the initial estimate for the second stage in which a more accurate fuzzy relation is determined by the approach of numerical resolution of fuzzy relational equation. A recursive identification algorithm based on the prediction-error method is derived for optimally resolving the numerical fuzzy relational equation by minimizing a quadratic performance index. This algorithm makes the proposed approach particularly attractive to online applications. Two numerical examples are provided to show the superiority of the combined approach over other methods. >
61 citations
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14 Sep 2015
TL;DR: This chapter introduces the Fuzzy Calculus, a probabilistic method for solving the inequality of the following types of problems: For example, theorems related to Bayesian inference and LaSalle's inequality.
Abstract: 1. Introduction. -2. Basic Concepts. -3. Fuzzy Calculus. -4. Fuzzy Differential Equations. -Mathematical Background. -Index.
61 citations
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TL;DR: The Small Gain Theorem is applied to the derived structures of the fuzzy controllers of Takagi-Sugeno fuzzy PI and PD controllers and it is mathematically proved to be nonlinear PI (or PD) controllers with proportional-gain and integral-gain changing with output of the controlled system.
60 citations