DocumentCode
2039477
Title
Continuity in an intuitionistic fuzzy normed space
Author
Si, Hai-Yan ; Cao, Huai-Xin ; Yang, Ping
Author_Institution
Coll. of Math. & Inf. Sci., Shaanxi Normal Univ., Xi´´an, China
Volume
1
fYear
2010
fDate
10-12 Aug. 2010
Firstpage
144
Lastpage
148
Abstract
In this paper, we prove that the addition, scalar multiplication and intuitionistic fuzzy norm in an intuitionistic fuzzy normed space are all automatically continuous. The intuitionistic fuzzy continuity and boundedness of linear operators between intuitionistic fuzzy normed spaces are also discussed. Especially, it is proved that the set of all intuitionistic fuzzy continuous linear operators and the set of all intuitionistic fuzzy bounded linear operators from an intuitionistic fuzzy normed space into another are vector spaces.
Keywords
fuzzy set theory; vectors; intuitionistic fuzzy bounded linear operators; intuitionistic fuzzy continuity; intuitionistic fuzzy continuous linear operators; intuitionistic fuzzy normed space; scalar multiplication; vector spaces; Chaos; Extraterrestrial measurements; Fractals; Fuzzy sets; Solitons; Topology; continuity; intuitionistic fuzzy normed space; linear operator;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Systems and Knowledge Discovery (FSKD), 2010 Seventh International Conference on
Conference_Location
Yantai, Shandong
Print_ISBN
978-1-4244-5931-5
Type
conf
DOI
10.1109/FSKD.2010.5569722
Filename
5569722
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