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一类广义区间值模糊粗糙集的公理化刻画
  • ISSN号：1000-4424
  • 期刊名称：《高校应用数学学报：A辑》
  • 时间：0
  • 分类：O159[理学—数学;理学—基础数学]
  • 作者机构：[1]西安交通大学理学院,陕西西安710049
  • 相关基金：国家自然科学基金（60673096;60773174;60703117）;陕西省教育厅2007年度科学技术研究计划（人文）（07JK101）
作者： 张红英[1], 张文修[1]
关键词： 区间值模糊集, 区间值模糊粗糙集, 区间值模糊近似算子, interval-valued fuzzy set, interval-valued fuzzy rough set, interval-valued fuzzy approximate operator
中文摘要：

首先在一般区间值模糊关系上定义了两个论域上的一类广义区间值模糊粗糙集．借助区间值模糊集的截集给出区间值模糊粗糙上、下近似算子的一般表示．讨论了各种特殊的区间值模糊关系与区间值模糊近似算子性质之间的等价刻画．最后利用公理化方法刻画区间值模糊粗糙集，描述区间值模糊上、下近似算子的公理集保证了生成相同近似算子的区间值模糊关系的存在性．

英文摘要：

This paper proposes a general framework for the study of interval-valued fuzzy rough sets on two universes of discourse. Basic properties of the interval-valued fuzzy approximations are developed. The classical representations of interval-valued fuzzy rough sets are introduced by employing cut set of interval-valued fuzzy sets. The connection between specific interval-valued fuzzy relations and interval-valued fuzzy approximate operators are studied. Finally, interval-valued fuzzy approximate operators are characterized by axioms. Different axiom sets of lower and upper interval-valued fuzzy approximate operators are given to guarantee the existence of different types of interval-valued fuzzy relations which produce the same operators.

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期刊信息
  • 《高校应用数学学报：A辑》
  • 北大核心期刊（2011版）
  • 主管单位:国家教育部
  • 主办单位:浙江大学 中国工业与应用数学学会
  • 主编：林正炎 李大潜
  • 地址：杭州市玉泉浙江大学数学系
  • 邮编：310027
  • 邮箱：amjcu@zjy.edu.cn
  • 电话：0571-87951602
  • 国际标准刊号：ISSN：1000-4424
  • 国内统一刊号：ISSN：33-1110/O
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:3669