Title :
Some properties of the sendograph metric by addition and scalar multiplication
Author :
Li, Yang ; Fan, Taihe
Author_Institution :
Fac. of Sci., Zhejiang Sci-Tech Univ., Hangzhou, China
Abstract :
In this paper, it is shown that the sendograph metric is neither homogenous nor translation invariant. The basic properties of the sendograph metric under algebraic operations, as well as the continuity of the operations are discussed.
Keywords :
fuzzy set theory; graph theory; number theory; algebraic operations; fuzzy number; scalar multiplication; sendograph metric; Argon; Convergence; Equations; Extraterrestrial measurements; Fuzzy sets; Level set;
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.2010.5569656
