Induced Unbalanced Linguistic Ordered Weighted Average

DOI

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.

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  - 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 (EUSFLAT-11)
PB  - Atlantis Press
SP  - 1
EP  - 8
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.88
DO  - 10.2991/eusflat.2011.88
ID  - Marin2011/08
ER  -