Fuzzy normed space of operators and its completeness

Fuzzy Sets and Systems

Volumn 133, Issue 3, 2003, Pages 389-399

  Xiao, Jian Zhong ^a   Zhu, Xing Hua ^a  

^a YANCHENG TEACHERS UNIVERSITY   (China)

Author keywords

Boundedness; Completeness; Fuzzy analysis; Fuzzy norm of operator; Fuzzy normed linear space; Fuzzy topology

Indexed keywords

FUNCTIONS; FUZZY SETS; THEOREM PROVING; TOPOLOGY;

FUZZY ANALYSIS;

MATHEMATICAL OPERATORS;

EID: 0037294144     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(02)00274-9     Document Type: Article

References (6)

1. Felbin C. Finite dimensional fuzzy normed linear space. Fuzzy Sets and Systems. 48:1992;239-248.
2. Kaleva O., Seikkala S. On fuzzy metric space. Fuzzy Sets and Systems. 12:1984;215-229.
3. Kelley J.L., Namioka I. Linear Topological Spaces. 1976;Springer, New York, Heidelberg, Berlin.
4. Schechter M. Principles of Functional Analysis. 1971;Academic Press, New York, London.
5. Wu C.X., Wu C. The supremum and infimum of the set of fuzzy numbers and its application. J. Math. Anal. Appl. 210:1997;499-511.
6. Xiao J., Zhu X. On linearly topological structure and property of fuzzy normed linear space. Fuzzy Sets and Systems. 125:2002;153-161.