Title :
Fuzzy distance using fuzzy absolute value
Author :
Chen, Shan-Huo ; Wang, Chien-Chung
Author_Institution :
Dept. of Inf. Manage., Ching Yun Univ., Jungli, Taiwan
Abstract :
We consider the absolute value of trapezoidal fuzzy number through graded mean integration representation, and graded mean integration ranking of trapezoidal fuzzy numbers. Then, we use this absolute value of the difference of two triangle fuzzy numbers to calculate the fuzzy distance between these two triangle fuzzy numbers. We also discuss the fuzzy distance of the linguistic data "about x". The result shows that it is reasonable to say that "the fuzzy distance of about 5 and about 8 is about 3".
Keywords :
fuzzy set theory; integration; number theory; fuzzy absolute value; fuzzy distance; graded mean integration representation; trapezoidal fuzzy number; Arithmetic; Cities and towns; Conference management; Cybernetics; Educational institutions; Finance; Financial management; Information management; Machine learning; Fuzzy absolute value; Fuzzy distance; Fuzzy number; Graded mean integration ranking; Graded mean integration representation;
Conference_Titel :
Machine Learning and Cybernetics, 2009 International Conference on
Conference_Location :
Baoding
Print_ISBN :
978-1-4244-3702-3
Electronic_ISBN :
978-1-4244-3703-0
DOI :
10.1109/ICMLC.2009.5212628
