[1]左静..Extension集合辨析[J].郑州大学学报(工学版),2001,22(02):20-22.[doi:10.3969/j.issn.1671-6833.2001.02.006]
ZUO Jing..Extension set discrimination[J].Journal of Zhengzhou University (Engineering Science),2001,22(02):20-22.[doi:10.3969/j.issn.1671-6833.2001.02.006]
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Extension集合辨析(
)
《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]
- 卷:
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22卷
- 期数:
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2001年02期
- 页码:
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20-22
- 栏目:
-
- 出版日期:
-
1900-01-01
文章信息/Info
- Title:
-
Extension set discrimination
- 作者:
-
左静.
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郑州工业大学数理力学系,
- Author(s):
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ZUO Jing.
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-
- 关键词:
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Extension集合; Cantor集合; Fuzzy集合; 可拓学
- Keywords:
-
- DOI:
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10.3969/j.issn.1671-6833.2001.02.006
- 文献标志码:
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A
- 摘要:
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Extension集合是可拓学理论的基础概念之一.探讨Extension集合的特色和它与其它集合的关系,对于明晰可拓学的生存基础、研究价值和发展前景非常重要.通过比较3种集合对论域元素的识别与分类原则,指出Fuzzy集合Extension集合均以Cantor集合为基础,但各自又具有其它集合不可替代的独特之处.Extension集合的特色在于它对论域元素潜在属性的识别角度和元素属性在特定变换下的可转换性的识别功能.
- Abstract:
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Extension sets are one of the fundamental concepts of extension theory. Discussing the characteristics of the Extension set and its relationship with other sets is very important for clarifying the survival basis, research value and development prospect of extensions. By comparing the identification and classification principles of domain elements of three sets, it is pointed out that the Fuzzy set Extension set is based on the Cantor set, but each has irreplaceable uniqueness of other sets. The Extension set is characterized by its recognition angle of the potential attributes of the domain elements and the recognition of the translatability of the element attributes under specific transformations.
更新日期/Last Update:
1900-01-01