Aggregation operators review-mathematical properties and behavioral measures
A problem that humans must face very often is that of having to add, melt or synthesize information, that is, combine together a series of data from various sources to reach a certain conclusion or make a certain decision. This involves the use of one or more aggregation operators capable to provide...
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Modern Education and Computer Science Press
2021
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I48-R184-123456789-290062025-03-06T11:10:11Z Aggregation operators review-mathematical properties and behavioral measures La Red Martínez, David Luis Acosta, Julio César Aggregation Aggregation operators Behavioral measures of aggregation operators Intersection operators OWA operators A problem that humans must face very often is that of having to add, melt or synthesize information, that is, combine together a series of data from various sources to reach a certain conclusion or make a certain decision. This involves the use of one or more aggregation operators capable to provide a collective preference relation. These operators must be chosen according to specific criteria taking into account the characteristic properties of each operator. Some conditions to be taken into account to identify them are the following: axiomatic strength, empirical setting, adaptability, numerical efficiency, compensation and compensation range, added behavior and scale level required of the membership functions. It is possible to establish a general list of possible mathematical properties whose verification might be desirable in certain cases: boundary conditions, continuity, not decreasing monotony, symmetry, idempotence, associativity, bisymmetry, selfdistributivity, compensation, homogeneity, translativity, stability, ^-comparability, sensitivity and locally internal functions. For analyze the attitudinal character of the aggregation operator the following measures are studied: disjunction degree (orness), dispersion, balance and divergence. In this paper, a review of these issues is presented. 2021-10-14T17:06:16Z 2021-10-14T17:06:16Z 2015 Artículo La Red Martínez, David Luis. y Acosta, Julio César., 2015. Aggregation operators review-mathematical properties and behavioral measures. International Journal of Intelligent Systems and Applications. Hong Kong: Modern Education and Computer Science Press, vol. 7, no. 10, p. 63-76. ISSN 2074-9058. 2074-9058 http://repositorio.unne.edu.ar/handle/123456789/29006 eng openAccess http://creativecommons.org/licenses/by-nc-nd/2.5/ar/ application/pdf application/pdf Modern Education and Computer Science Press International Journal of Intelligent Systems and Applications, vol. 7, no. 10, p. 63-76. |
institution |
Universidad Nacional del Nordeste |
institution_str |
I-48 |
repository_str |
R-184 |
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RIUNNE - Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) |
language |
Inglés |
topic |
Aggregation Aggregation operators Behavioral measures of aggregation operators Intersection operators OWA operators |
spellingShingle |
Aggregation Aggregation operators Behavioral measures of aggregation operators Intersection operators OWA operators La Red Martínez, David Luis Acosta, Julio César Aggregation operators review-mathematical properties and behavioral measures |
topic_facet |
Aggregation Aggregation operators Behavioral measures of aggregation operators Intersection operators OWA operators |
description |
A problem that humans must face very often is that of having to add, melt or synthesize information, that is, combine together a series of data from various sources to reach a certain conclusion or make a certain decision. This involves the use of one or more aggregation operators capable to provide a collective preference relation. These operators must be chosen according to specific criteria taking into account the characteristic properties of each operator. Some conditions to be taken into account to identify them are the following: axiomatic strength, empirical setting, adaptability, numerical efficiency, compensation and compensation range, added behavior and scale level required of the membership functions. It is possible to establish a general list of possible mathematical properties whose verification might be desirable in certain cases: boundary conditions, continuity, not decreasing monotony, symmetry, idempotence, associativity, bisymmetry, selfdistributivity, compensation, homogeneity, translativity, stability, ^-comparability, sensitivity and locally internal functions. For analyze the attitudinal character of the aggregation operator the following measures are studied: disjunction degree (orness), dispersion, balance and divergence. In this paper, a review of these issues is presented. |
format |
Artículo |
author |
La Red Martínez, David Luis Acosta, Julio César |
author_facet |
La Red Martínez, David Luis Acosta, Julio César |
author_sort |
La Red Martínez, David Luis |
title |
Aggregation operators review-mathematical properties and behavioral measures |
title_short |
Aggregation operators review-mathematical properties and behavioral measures |
title_full |
Aggregation operators review-mathematical properties and behavioral measures |
title_fullStr |
Aggregation operators review-mathematical properties and behavioral measures |
title_full_unstemmed |
Aggregation operators review-mathematical properties and behavioral measures |
title_sort |
aggregation operators review-mathematical properties and behavioral measures |
publisher |
Modern Education and Computer Science Press |
publishDate |
2021 |
url |
http://repositorio.unne.edu.ar/handle/123456789/29006 |
work_keys_str_mv |
AT laredmartinezdavidluis aggregationoperatorsreviewmathematicalpropertiesandbehavioralmeasures AT acostajuliocesar aggregationoperatorsreviewmathematicalpropertiesandbehavioralmeasures |
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