...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Fuzzy sets and systems >Single axioms for lower fuzzy rough approximation operators determined by fuzzy implications
【24h】

Single axioms for lower fuzzy rough approximation operators determined by fuzzy implications

机译：由模糊含义确定的较低模糊粗略近似算子的单公理

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 paper further investigates axiomatic characterizations of lower fuzzy rough approximation operators determined by a semi-continuous fuzzy implication I. The I-lower fuzzy rough approximation operators on a general fuzzy relation can be characterized by only one axiom. The axiomatic characterizations of I-lower fuzzy rough approximation operators are studied in two approaches, which characterize abstract I-lower fuzzy rough approximation operators with ordinary fuzzy operations on fuzzy sets and product operation, respectively. Considering the properties of fuzzy implications, different axioms are proposed for I-lower fuzzy rough approximation operators, which are determined by an S-implication, an R-implication and a fuzzy implication satisfying left neutrality property and regular property, respectively. When the fuzzy relation is special, such as serial, reflexive, symmetric and so on, I-lower fuzzy rough approximation operators can also be characterized by a single axiom. (c) 2017 Elsevier B.V. All rights reserved.
机译：本文进一步研究了由半连续模糊蕴涵I确定的较低模糊粗糙逼近算子的公理化特征。一般模糊关系上的I较低模糊粗糙逼近算子只能用一个公理来表征。用两种方法研究了I-下模糊粗近似算子的公理化特征，分别用模糊集和乘积算子对普通I-下模糊粗近似算子进行了特征描述。考虑到模糊含意的性质，针对I-下模糊粗糙近似算子提出了不同的公理，分别由满足左中立性和正则性的S蕴涵，R蕴涵和模糊蕴涵确定。当模糊关系特殊时，例如串行，自反，对称等，I-lower模糊粗略近似算子也可以用一个公理来表征。 （c）2017 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