The Structure of the Type-Reduced Set of a Continuous Type-2 Fuzzy Set
Sarah Greenfield, Francisco Chiclana
Available Online August 2013.
- 10.2991/eusflat.2013.102How to use a DOI?
- Type-2 Fuzzy Set Type-Reduced Set Type-Reduction Defuzzification
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.
- © 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/).
Cite this article
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 -