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Some properties of intuitionstic fuzzy metric spaces. Journal of Computational Analysis and Applications

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A note on Hausdorff intuitionstic fuzzy metric spaces
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A note on Hausdorff intuitionstic fuzzy metric spaces
×÷Õß:Li, CQ (Li, Chang-qing)[ 1 ] ; Zhang, YL (Zhang, Yan-lan)[ 2 ]
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
¾í: 18  ÆÚ: 2  Ò³: 247-254
³ö°æÄê: FEB 2015
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In this paper, we explore two types of Hausdorff intuitionistic fuzzy metrics on compact sets, and prove that they are identical. Also, we prove that if two intuitionistic fuzzy metric spaces induce the same topology, then the corresponding Hausdorff intuitionistic fuzzy metric topological spaces coincide.
¹Ø¼ü´Ê
×÷Õ߹ؼü´Ê:Intuitionistic fuzzy metric space; Hausdorff intuitionistic fuzzy metric space; Topology; Continuous; Uniformity
KeyWords Plus:FIXED-POINTS
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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.
µØÖ·:
ÏÔʾÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ        [ 1 ] Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Fujian, Peoples R China
ÏÔʾÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ        [ 2 ] Minnan Normal Univ, Dept Comp Sci & Engn, Zhangzhou 363000, Fujian, Peoples R China
µç×ÓÓʼþµØÖ·:helen_smile0320@163.com; zyl_1983_2004@163.com
»ù½ð×ÊÖúÖÂл
»ù½ð×ÊÖú»ú¹¹        ÊÚȨºÅ
Natural Science Foundation of Fujian        
JA13198
foundation of Minnan Normal University        
SJ1118
²é¿´»ù½ð×ÊÖúÐÅÏ¢   
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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:000348558500004
ISSN: 1521-1398
eISSN: 1572-9206
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Impact Factor (Ó°ÏìÒò×Ó): Journal Citation Reports®
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IDS ºÅ: AZ9TR
Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 16
Web of Science ºËÐĺϼ¯ÖÐµÄ "±»ÒýƵ´Î": 0
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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.
¹Ø¼ü´Ê
×÷Õ߹ؼü´Ê:Fuzzy metric; The Hausdorff fuzzy metric; Precompact; Complete; F-bounded
KeyWords Plus:SPACES
×÷ÕßÐÅÏ¢
ͨѶ×÷ÕßµØÖ·: Li, CQ (ͨѶ×÷Õß)
ÏÔʾÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ        Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Fujian, Peoples R China.
µØÖ·:
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
²é¿´»ù½ð×ÊÖúÐÅÏ¢   
³ö°æÉÌ
EUDOXUS PRESS, LLC, 1424 BEAVER TRAIL DRIVE, CORDOVA, TN 38016 USA
Àà±ð / ·ÖÀà
Ñо¿·½Ïò:Computer Science; Mathematics
Web of Science Àà±ð:Computer Science, Theory & Methods; Mathematics, Applied
ÎÄÏ×ÐÅÏ¢
ÎÄÏ×ÀàÐÍ:Article
ÓïÖÖ:English
Èë²ØºÅ: WOS:000348559100016
ISSN: 1521-1398
eISSN: 1572-9206
ÆäËûÐÅÏ¢
IDS ºÅ: AZ9TY
Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 18
Web of Science ºËÐĺϼ¯ÖÐµÄ "±»ÒýƵ´Î": 0
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4Â¥2016-04-01 21:37:21
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