n入出力をもつ混合形ファジィシステム方程式の解法

概要

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Sup ･ min or Inf ･ max composite fuzzy relation equation is available for formalizing fuzzy input-output systems. Generally, Sup ･ min composition formalizes the system pessimistically, while Inf ･ max composition formalizes it optimistically. Recently, Ohsato and Sekiguchi have pointed out the importance of a mixed fuzzy input-output system, and presented a way of solving the convexly combined form of Sup ･ min and Inf ･ max compositions for two unknown fuzzy relations. Their technique is straightforwardly applicable to the identification problem of systems with a fuzzy input and a fuzzy output. Such identification problem, however, should be carried out for multi-input and multi-output systems. Hence, in this paper, a method of solving the n input-output mixed-type fuzzy system equations for two unknown fuzzy relations is presented.
琉球大学工学部の論文