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
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;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery (FSKD), 2010 Seventh International Conference on
Conference_Location :
Yantai, Shandong
Print_ISBN :
978-1-4244-5931-5
DOI :
10.1109/FSKD.2010.5569722
