The Structure of the Type-Reduced Set of a Continuous Type-2 Fuzzy Set

DOI

10.2991/eusflat.2013.102How to use a DOI?

Keywords

Type-2 Fuzzy Set Type-Reduced Set Type-Reduction Defuzzification

Abstract

This paper is concerned with the structure of the type-reduced set (TRS) of the continuous type-2 fuzzy set, in both its interval and generalised forms. In each case the TRS structure is approached by first investigating the discretised set. The TRS of a continuous interval type-2 fuzzy set is shown to be a continuous straight line, and that of a generalised type-2 fuzzy set, a continuous, convex curve.

Copyright

© 2013, 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  - 2013/08
DA  - 2013/08
TI  - The Structure of the Type-Reduced Set of a Continuous Type-2 Fuzzy Set
BT  - Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
PB  - Atlantis Press
SP  - 715
EP  - 722
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2013.102
DO  - 10.2991/eusflat.2013.102
ID  - Greenfield2013/08
ER  -