Title :
A modified weighted Hausdorff distance between intuitionistic fuzzy sets
Author :
Marinov, Evgeniy ; Szmidt, Eulalia ; Kacprzyk, Janusz ; Tcvetkov, Radoslav
Author_Institution :
Dept. of Bioinf. & Math. Modelling, Inst. of Biophys. & Biomed. Eng., Sofia, Bulgaria
Abstract :
This work is an extension of [19] where the modified Hausdorff distance (MHD) between intuitionistic fuzzy sets was proposed. We introduce now a new measure of object similarity - the modified weighted Hausdorff distance (MWHD) and apply it for intuitionitic fuzzy sets (IFS). A generalization of this method is also proposed where one takes distance between two collections of denumerable subsets satisfying some conditions. The methods employ elements of the distance measures between the intuitionistic fuzzy sets.
Keywords :
formal logic; fuzzy set theory; IFS; MWHD; denumerable subsets; distance measure; intuitionistic fuzzy sets; modified weighted Hausdorff distance; object similarity; Biomedical measurements; Electronic mail; Fuzzy set theory; Fuzzy sets; Pattern recognition; Topology; Distances; Intuitionistic fuzzy set; Weighted Hausdorff metric;
Conference_Titel :
Intelligent Systems (IS), 2012 6th IEEE International Conference
Conference_Location :
Sofia
Print_ISBN :
978-1-4673-2276-8
DOI :
10.1109/IS.2012.6335203
