Combining the -Plane Representation with an Interval Defuzzification Method

DOI

10.2991/eusflat.2011.25How to use a DOI?

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

© 2011, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Sarah Greenfield
AU  - Francisco Chiclana
PY  - 2011/08
DA  - 2011/08
TI  - Combining the -Plane Representation with an Interval Defuzzification Method
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)
PB  - Atlantis Press
SP  - 920
EP  - 927
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.25
DO  - 10.2991/eusflat.2011.25
ID  - Greenfield2011/08
ER  -