INTUITIONISTIC FUZZY CLUSTERING ALGORITHM BASED ON BOOLE MATRIX AND ASSOCIATION MEASURE
In this paper we develop a measure for calculating the association coefficient between Atanassov's intuitionistic fuzzy sets (A-IFSs), and show its desirable axiomatic properties. Then we present an algorithm for clustering A-IFSs. The algorithm first utilizes the association coefficient of A-IFSs to construct an association matrix, and then calculates the λ-cutting matrix of the association matrix no matter whether it is an equivalent matrix or not. After that, the λ-cutting matrix is used to cluster A-IFSs (if the λ-cutting matrix is just only a similarity matrix, then we can easily transform it into an equivalent matrix). Three examples are used to show the effectiveness of the association coefficient and the algorithm for clustering A-IFSs. Furthermore, we extend the algorithm to cluster interval-valued intuitionistic fuzzy sets (IVIFSs), and finally, we use another numerical example to illustrate the latter algorithm.
Year of publication: |
2013
|
---|---|
Authors: | ZHAO, HUA ; XU, ZESHUI ; WANG, ZHONG |
Published in: |
International Journal of Information Technology & Decision Making (IJITDM). - World Scientific Publishing Co. Pte. Ltd., ISSN 1793-6845. - Vol. 12.2013, 01, p. 95-118
|
Publisher: |
World Scientific Publishing Co. Pte. Ltd. |
Subject: | Atanassov's intuitionistic fuzzy set | interval-valued intuitionistic fuzzy set | association coefficients | association matrix | λ-cutting matrix | clustering algorithm |
Saved in:
Online Resource
Saved in favorites
Similar items by subject
-
Panwar, Anupam, (2016)
-
Comparing resemblance measures
Batagelj, Vladimir, (1995)
-
Bounds of Resemblance Measures for Binary (Presence/Absence) Variables
Warrens, Matthijs, (2008)
- More ...
Similar items by person