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| 单向奇异粗糙模糊集合的结构 | |
| 引用本文： | 侯海军,王庆东. 单向奇异粗糙模糊集合的结构[J]. 纯粹数学与应用数学, 2007, 23(2): 171-177 |
| 作者姓名： | 侯海军 王庆东 |
| 作者单位： | 商丘师范学院数学系,河南,商丘,476000;商丘师范学院数学系,河南,商丘,476000 |
| 基金项目： | 国家自然科学基金，河南省自然科学基金，商丘师范学院校科研和教改项目 |
| 摘 要： | 用模糊集合与模糊等价关系对单向奇异粗集进行了研究,并给出了单向奇异粗糙模糊集合的数学结构及其并、交、补运算和性质.同时证明了单向奇异粗糙模糊集合对并、交、补运算构成完全可无限分配的软代数. |
| 关 键 词： | 模糊集合 模糊等价关系 单向奇异粗糙集合 单向奇异粗糙模糊集合 软代数 |
| 文章编号： | 1008-5513（2007）02-0171-07 |
| 修稿时间： | 2006-03-15 |
The structures on single direction singular rough fuzzy sets |
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| HOU Haijun,WANG Qingdong. The structures on single direction singular rough fuzzy sets[J]. Pure and Applied Mathematics, 2007, 23(2): 171-177 | |
| Authors: | HOU Haijun WANG Qingdong |
| Affiliation: | Deparment of Mathematics,Shangqiu Normal College,Shangqiu 476000,China |
| Abstract: | It is studied single singular rough set by fuzzy set and fuzzy equivalence relation in this paper.And we give the mathematical structrue,operations and properties of the union,intersection and complement for single direction singular rough fuzzy set.Furthermore,we prove that the soft algebra is constituted by single direction singular rough fuzzy set,and which can be assigned on the operations of the union,intersection and complement completely and infinitely. |
| Keywords: | fuzzy set fuzzy equivalence relation single direction singular rough set single direction singular rough fuzzy set soft algebra |
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