关于紧模糊集逼近的一种推广

2010 Annual Meeting of the North American Fuzzy Information Processing Society Pub Date : 2010-07-12 DOI:10.1109/NAFIPS.2010.5548417

Y. Chalco-Cano, H. Romaan-Flores, A. Flores-Franulic

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引用次数: 1

摘要

本文用一组Lipschitz模糊集给出了紧模糊集的近似。为此，在给定一个紧模糊集的条件下，利用supmin -min卷积构造了一个Lipschitz模糊集序列，该序列在d度规上收敛于紧模糊集的原始序列。本文所得结果是对前人所得结果的推广。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A generalization on the approximation of compact fuzzy sets

In this paper we present an approximation for a compact fuzzy set by a sequence of Lipschitz fuzzy sets. For this, given a compact fuzzy set, we construct a sequence of Lipschitz fuzzy sets using the sup-min-convolution which converge in D-metric to the compact fuzzy set original. The results obtained in this paper are a generalization of previous result obtained by the authors.

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2010 Annual Meeting of the North American Fuzzy Information Processing Society

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