Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)

Induced Unbalanced Linguistic Ordered Weighted Average

Authors
Lucas Marin, José M. Merigó, Aida Valls, Antonio Moreno, David Isern
Corresponding Author
Lucas Marin
Available Online August 2011.
DOI
https://doi.org/10.2991/eusflat.2011.88How to use a DOI?
Keywords
Aggregation operator; Unbalanced fuzzy sets; Order inducing variables; Linguistic variables.
Abstract
Aggregation operators for linguistic variables usually assume a uniform and symmetrical distribution of the linguistic terms that define the variable. This paper defines the Induced Unbalanced Linguistic Ordered Weighted Average (IULOWA). This aggregator takes into account the fuzzy membership functions of the terms during the aggregation operations of the pairs of terms. There is no restriction on the form of the membership functions of the terms, which can be triangular or trapezoidal, non-symmetrical and non-equally distributed. Moreover, the paper proposes to use the specificity and fuzziness measures of the terms to induce the order of the arguments, providing some examples of this criterion in decision making.
Open Access
This is an open access article distributed under the CC BY-NC license.

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Proceedings
Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology
Part of series
Advances in Intelligent Systems Research
Publication Date
August 2011
ISBN
978-90-78677-00-0
ISSN
1951-6851
DOI
https://doi.org/10.2991/eusflat.2011.88How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Lucas Marin
AU  - José M. Merigó
AU  - Aida Valls
AU  - Antonio Moreno
AU  - David Isern
PY  - 2011/08
DA  - 2011/08
TI  - Induced Unbalanced Linguistic Ordered Weighted Average
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 1
EP  - 8
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.88
DO  - https://doi.org/10.2991/eusflat.2011.88
ID  - Marin2011/08
ER  -