Title :
Metric Space of LR Fuzzy Variables
Author_Institution :
Sch. of Math. & Inf. Sci., Henan Polytech. Univ., Jiaozuo, China
Abstract :
In this paper, a new kind of distance between two LR fuzzy variables is proposed by pessimistic value and optimistic value. Some properties of the new distance are discussed. Furthermore, a metric space of LR fuzzy variables is defined and the completeness of this space is proved. Some results relating to the space are presented. Examples are given to illustrate the superiority.
Keywords :
fuzzy set theory; LR fuzzy variables; metric space; optimistic value; pessimistic value; Computers; Educational institutions; Extraterrestrial measurements; Fuzzy set theory; Fuzzy sets; Measurement uncertainty; Completeness; Distance; Fuzzy variable; Metric space;
Conference_Titel :
Computer Sciences and Applications (CSA), 2013 International Conference on
Conference_Location :
Wuhan
DOI :
10.1109/CSA.2013.99
