Fuzzy Set Field and Fuzzy Metric

被引：1

作者：

Gebray, Gebru ^{[1
]}

Reddy, B. Krishna ^{[1
]}

机构：

[1] Osmania Univ, Dept Math, UCS, Hyderabad 500007, Andhra Pradesh, India

来源：

ADVANCES IN FUZZY SYSTEMS | 2014年 / 2014卷

关键词：

D O I：

10.1155/2014/968405

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The notation of fuzzy set field is introduced. A fuzzy metric is redefined on fuzzy set field and on arbitrary fuzzy set in a field. The metric redefined is between fuzzy points and constitutes both fuzziness and crisp property of vector. In addition, a fuzzy magnitude of a fuzzy point in a field is defined.

引用

页数：8

共 21 条

[1] FUZZY PSEUDO-METRIC SPACES [J].

DENG, Z .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1982, 86 (01) :74-95

[2]

Dubois D., 1980, FUZZY SET SYST

[3] An improved completion theorem of fuzzy metric spaces [J].

Fang, Jin-Xuan .

FUZZY SETS AND SYSTEMS, 2011, 166 (01) :65-74

[4]

GU WX, 1992, FUZZY SET SYST, V49, P377, DOI 10.1016/0165-0114(92)90288-F

[5]

Hsu N., 1992, J NATL TAIWAN NORMAL, V37, P385

[6] ON FUZZY METRIC-SPACES [J].

KALEVA, O ;

SEIKKALA, S .

FUZZY SETS AND SYSTEMS, 1984, 12 (03) :215-229

[7]

Nasseri H, 2008, INT MATH FORUM, P1777

[8]

PU PM, 1980, J MATH ANAL APPL, V76, P571

[9]

Rhe G. Seob, 2009, J CHANGCHEONG MATH S, V22

[10] SOME RESULTS ON FUZZY BANACH SPACES [J].

Saadati, R. ;

Vaezpour, S. M. .

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2005, 17 (1-2) :475-484

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