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Some properties of the Hausdorff fuzzy metric on finite sets
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Some properties of the Hausdorff fuzzy metric on finite sets
×÷Õß:Li, CQ (Li, Chang-qing)[ 1 ] ; Yang, L (Yang, Liu)[ 2,3 ]
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
¾í: 19 ÆÚ: 2 Ò³: 359-364
³ö°æÄê: AUG 2015
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In the paper, some properties of the Hausdorff fuzzy metric on the family of nonempty finite sets, as precompactness, completeness, compactness and F-boundedness are explored. Also, an illustrative example of a complete fuzzy metric space that does not induce the complete Hausdorff fuzzy metric on the family of nonempty finite sets is given.
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×÷Õ߹ؼü´Ê:Fuzzy metric; The Hausdorff fuzzy metric; Precompact; Complete; F-bounded
KeyWords Plus:SPACES
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ͨѶ×÷ÕßµØÖ·: Li, CQ (ͨѶ×÷Õß)
ÏÔʾÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Fujian, Peoples R China.
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ÏÔʾÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ [ 1 ] Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Fujian, Peoples R China
[ 2 ] Shaanxi Xueqian Normal Univ, Dept Math, Xian 710100, Shaanxi, Peoples R China
ÏÔʾÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ [ 3 ] Shantou Univ, Dept Math, Shantou 515063, Guangdong, Peoples R China
µç×ÓÓʼþµØÖ·:helen_smile0320@163.com; 08lyang@stu.edu.cn
»ù½ð×ÊÖúÖÂл
»ù½ð×ÊÖú»ú¹¹ ÊÚȨºÅ
Nation Natural Science Foundation of China
11471153
11471202
foundation of Fujian Province
JA14200
2013J01029
JA13198
foundation of Minnan Normal University
SJ1118
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EUDOXUS PRESS, LLC, 1424 BEAVER TRAIL DRIVE, CORDOVA, TN 38016 USA
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Ñо¿·½Ïò:Computer Science; Mathematics
Web of Science Àà±ð:Computer Science, Theory & Methods; Mathematics, Applied
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ÎÄÏ×ÀàÐÍ:Article
ÓïÖÖ:English
Èë²ØºÅ: WOS:000348559100016
ISSN: 1521-1398
eISSN: 1572-9206
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IDS ºÅ: AZ9TY
Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 18
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