...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>IEEE Transactions on Fuzzy Systems >Knowledge Measure for Atanassov's Intuitionistic Fuzzy Sets
【24h】

Knowledge Measure for Atanassov's Intuitionistic Fuzzy Sets

机译：Atanassov直觉模糊集的知识测度

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

A measure of knowledge is often viewed as a dual measure of entropy in a fuzzy system; thus, it appears that the less entropy may always accompany the greater amount of knowledge. Actually, this does not reflect the reality in the context of Atanassov's intuitionistic fuzzy sets (A-IFSs). In this paper, we introduce a novel axiomatic framework for measuring the amount of knowledge associated with A-IFSs, as opposed to a measure of fuzzy entropy. We present an axiomatic definition of knowledge measure for A-IFSs first and then develop a new robust model that strictly complies with these axioms. More efforts are made to form the main properties of two types of axioms (respectively, for fuzzy entropy and knowledge measure) into a unified framework, under which the numerical relationship between these two kinds of measures is discussed in considerable detail. This helps to clear up a fundamental misunderstanding aforementioned and ultimately to draw a firm conclusion on this topic. In particular, the developed model, for its excellent performance in experiments as well as ability to capture the unique features of A-IFSs, can be used to tackle some special problems that are difficult to handle by using fuzzy entropy alone, such as making a difference between such special cases in which there are a large number of arguments in favor but an equally large number of arguments in disapproval at the same time.
机译：知识的量度通常被视为模糊系统中熵的双重量度。因此，似乎较少的熵可能总是伴随着大量的知识。实际上，这在Atanassov的直觉模糊集（A-IFS）的上下文中并未反映现实。在本文中，我们介绍了一种新颖的公理框架，用于测量与A-IFS相关的知识量，而不是用于测量模糊熵。我们首先提出A-IFS知识度量的公理定义，然后开发严格符合这些公理的新的鲁棒模型。为了将两种类型的公理的主要属性（分别用于模糊熵和知识测度）形成一个统一的框架，我们付出了更多的努力，在此框架下，对这两种测度之间的数值关系进行了相当详细的讨论。这有助于消除上述的基本误解，并最终就该主题得出坚定的结论。特别是，开发的模型因其在实验中的出色性能以及捕获A-IFS独特功能的能力，可用于解决一些仅通过使用模糊熵就难以处理的特殊问题，例如此类特殊情况之间的区别是，有大量的赞成意见，但同时有许多相同的反对意见。

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