...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Fuzzy sets and systems >C-sets Of N-uninorms
【24h】

C-sets Of N-uninorms

机译：N范数的C集

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

The concept of n-uninorms was introduced in our earlier paper which is based on the existence of an n-neutral element for an associative, monotone non-decreasing in both variables and commutative (AMC) binary operator on [0. 1]. There it was shown that the number of subclasses of n-uninorms is the (n + 1)th Catalan number. An expression for the arbitrary member of each subclass was also given which is recursive in nature. In this paper we introduce a unique ordered set of distinct integers between 0 and n, called C-sets, for each subclass of n-uninorms. This enables us to (1) obtain an expression for arbitrary member of each subclass which is non-recursive in nature, (2) identify the minimum and the maximum members in general and of idempotent members in particular in each subclass, (3) relate C-sets of De Morgan pairs (for strict negation) of n-uninorms from different subclasses, (4) convert theoretical results into construction procedures which are algorithmic in nature. In process we generalize some of the existing results for uninorms in the literature.
机译：n-标准范式的概念是在我们之前的论文中介绍的，它基于[0]上变量和可交换（AMC）二元算子的关联，单调非递减的n-中性元素的存在。 1]。那里表明，n-范数的子类数是第（n + 1）个加泰罗尼亚数。还给出了每个子类的任意成员的表达式，该表达式本质上是递归的。在本文中，我们为n范数的每个子类引入了介于0和n之间的独特整数的唯一有序集合，称为C集。这使我们能够（1）获得本质上是非递归的每个子类的任意成员的表达式，（2）总体上确定最小和最大成员，尤其是每个子类中的幂等成员，（3）相关来自不同子类的n范数的De Morgan对的C集（用于严格否定），（4）将理论结果转换为本质上是算法的构造过程。在此过程中，我们概括了文献中有关单位的一些现有结果。

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