title: |
Induced Unbalanced Linguistic Ordered Weighted Average |
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publication: |
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part of series: |
Advances in Intelligent Systems Research | |
| pages: | 1 - 8 | |
DOI: |
To be assigned soon (how to use a DOI) | |
author(s): |
Lucas Marin, José M. Merigó, Aida Valls, Antonio Moreno and David Isern |
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publication date: |
July 2011 |
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keywords: |
Aggregation operator; Unbalanced fuzzy
sets; Order inducing variables; Linguistic variables. |
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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. |
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copyright: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |