Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
395594 | Information Sciences | 2007 | 18 Pages |
Abstract
The centroid of an interval type-2 fuzzy set (IT2 FS) provides a measure of the uncertainty of such a FS. Its calculation is very widely used in interval type-2 fuzzy logic systems. In this paper, we present properties about the centroid of an IT2 FS. We also illustrate many of the general results for a T2 fuzzy granule (FG) in order to develop some understanding about the uncertainty of the FG in terms of its vertical and horizontal dimensions. At present, the T2 FG is the only IT2 FS for which it is possible to obtain closed-form formulas for the centroid, and those formulas are in this paper.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Jerry M. Mendel, Hongwei Wu,