...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Fuzzy sets and systems >Variable-domain fuzzy sets-Part Ⅱ: Apparatus
【24h】

Variable-domain fuzzy sets-Part Ⅱ: Apparatus

机译：可变域模糊集-第二部分：设备

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

This is the second part of a two-part paper on operations on fuzzy sets that may not share the same domain of definition. Part I described several ways of representing variable-domain fuzzy sets and introduced a few basic variable-domain fuzzy set operations. The present (largely self-contained) Part II further develops the theory of variable-domain fuzzy sets, based primarily on the representation of variable domains by a dummy membership degree that indicates the out-of-domain assignment error. We first describe several families of algebraic operations on the extended set of membership degrees; these are later employed in the investigation of basic notions of variable-domain fuzzy set theory. The fuzzy set operations studied in this paper include variable-domain variants of unions and intersections, kernels and supports, heights and plinths, equalities and inclusions, Cartesian products, and fuzzy relational compositions. Besides the initial examination of these variable-domain notions, our aim is to demonstrate the viability of variable-domain fuzzy set theory and highlight the similarity as well as differences between the fixed- and variable-domain treatments of fuzzy sets. (C) 2019 Elsevier B.V. All rights reserved.
机译：这是关于模糊集的操作的两部分文章的第二部分，该操作可能不会共享相同的定义域。第一部分描述了表示可变域模糊集的几种方法，并介绍了一些基本的可变域模糊集操作。当前的（基本上是独立的）第二部分进一步发展了可变域模糊集的理论，主要是基于表示域外分配错误的虚拟隶属度来表示可变域。我们首先在扩展的隶属度集上描述几个代数运算族。这些后来被用于研究可变域模糊集理论的基本概念。本文研究的模糊集运算包括并集和相交的可变域变体，内核和支撑，高度和底基，等式和包含，笛卡尔积和模糊关系组成。除了对这些可变域概念的初步检验之外，我们的目的是证明可变域模糊集理论的可行性，并强调模糊集固定域和可变域处理之间的相似性和差异。 （C）2019 Elsevier B.V.保留所有权利。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号