一种基于最高交点超平面的二类模糊集运算的简单方法

NAFIPS 2007 - 2007 Annual Meeting of the North American Fuzzy Information Processing Society Pub Date : 2007-06-24 DOI:10.1109/NAFIPS.2007.383873

H. Tahayori, G. D. Antoni

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引用次数: 10

摘要

由于2型模糊集的三维性质，其相关操作在时间和计算上都是昂贵的，这是2型模糊集普及的主要负担之一。在本文中，我们将提供一种执行二类模糊集运算的新方法。我们将证明基于两个1型模糊集的最高交点的超平面可以简单地执行这些操作。

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 Simple Method for Performing Type-2 Fuzzy Set Operations Based on Highest Degree of Intersection Hyperplane

Regarding the three dimensional nature of type-2 fuzzy sets their related operations are costly, in terms of time and computation, which is one of the main burdens among the popularity of type-2 fuzzy sets. In this paper we will provide a novel method for performing type-2 fuzzy set operations. We will prove that the operations would be simply performed based on the hyperplane of the highest degree of intersection of two type-1 fuzzy sets.

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NAFIPS 2007 - 2007 Annual Meeting of the North American Fuzzy Information Processing Society

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