title: |
Combining the -Plane Representation with an Interval Defuzzification Method |
|
publication: |
||
part of series: |
Advances in Intelligent Systems Research | |
| pages: | 920 - 927 | |
DOI: |
To be assigned soon (how to use a DOI) | |
author(s): |
Sarah Greenfield, Francisco Chiclana |
|
publication date: |
July 2011 |
|
keywords: |
type-reduction, -Plane Representation, Karnik-Mendel Iterative Procedure,
Greenfield-Chiclana Collapsing Defuzzifier, NieTan Method |
|
abstract: |
This paper is concerned with the defuzzification of
the discretised generalised type-2 fuzzy set.
In 2008 Liu proposed the -Plane Representation
-- a decomposition of the generalised type-2 set into
horizontal slices termed `-planes'. An -plane is
akin to an interval type-2 fuzzy set. The -Plane
Representation must be used in conjunction with an
interval defuzzification method: The three main options are 1. the Karnik-Mendel Iterative Procedure,
2. the Greenfield-Chiclana Collapsing Defuzzifier, or
3. the Nie-Tan Method. The experiments recorded
in this paper address the question, "Which is the
best interval defuzzification method for the -Plane
Representation to be combined with?" |
|
copyright: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
|
full text: |