Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)

Type-2 aggregation operators

Authors
Zdenko Takác
Corresponding Author
Zdenko Takác
Available Online August 2013.
DOI
10.2991/eusflat.2013.24How to use a DOI?
Keywords
Aggregation operator Fuzzy truth values Type-2 fuzzy sets Type-2 aggregation operator n-Dimensional fuzzy set Fuzzy multiset
Abstract

The paper deals with an extension of aggregation operators from the set of real numbers (or interval [0, 1]) to the set of fuzzy truth values (fuzzy sets in [0, 1]). We define so-called type-2 aggregation operator and show that an extension of ordinary aggregation operator by convolution is a type-2 aggregation operator. Finally we show that ordinary aggregation operator, as well as aggregation operator for intervals and for n-dimensional intervals are special cases of our type-2 aggregation operator.

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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Volume Title
Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
Series
Advances in Intelligent Systems Research
Publication Date
August 2013
ISBN
10.2991/eusflat.2013.24
ISSN
1951-6851
DOI
10.2991/eusflat.2013.24How to use a DOI?
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/).

Cite this article

TY  - CONF
AU  - Zdenko Takác
PY  - 2013/08
DA  - 2013/08
TI  - Type-2 aggregation operators
BT  - Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
PB  - Atlantis Press
SP  - 165
EP  - 170
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2013.24
DO  - 10.2991/eusflat.2013.24
ID  - Takác2013/08
ER  -