Title :
The Fuzzy Distance of Fuzzy Numbers Based on Structured Element
Author :
Li, Guimei ; Guo, Sicong
Author_Institution :
Inst. of Math. & Syst. Sci., Liaoning Tech. Univ., Fuxin, China
Abstract :
A new definition on the distance of fuzzy number based on structured element is proposed, which overcomes the shortcomings that the fuzzy numbers is real numbers. It also proves that the distance meets the axiomatic definition of fuzzy metric. And the membership of special fuzzy distance is given in this paper. A brief analysis of the mathematical nature about fuzzy distance is presented based on the definition, which is the basis for further study.
Keywords :
fuzzy set theory; axiomatic definition; fuzzy distance; fuzzy numbers; structured element; fuzzy distance; fuzzy numbers; membership; structured element;
Conference_Titel :
Computational Intelligence and Design (ISCID), 2010 International Symposium on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-4244-8094-4
DOI :
10.1109/ISCID.2010.120
