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Bibliografie

Conference Paper (international conference)

A generalization of the Bonferroni mean based on partitions

Beliakov G., James S., Mesiar Radko

: Proceedings of the 2013 IEEE International Conference on Fuzzy Systems (FUZZ 2013)

: 2013 IEEE International Conference on Fuzzy Systems, (Hyderabad, IN, 07.07.2013-10.07.2013)

: GAP402/11/0378, GA ČR

: Aggregation functions, Bonferroni mean, Mandatory criteria, Decision making

: 10.1109/FUZZ-IEEE.2013.6622348

: http://library.utia.cas.cz/separaty/2013/E/mesiar-0399787.pdf

(eng): The mean defined by Bonferroni in 1950 (known by the same name) averages all non-identical product pairs of the inputs. Its generalizations to date have been able to capture unique behavior that may be desired in some decision-making contexts such as the ability to model mandatory requirements. In this paper, we propose a composition that averages conjunctions between the respective means of a designated subset-size partition. We investigate the behavior of such a function and note the relationship within a given family as the subset size is changed. We found that the proposed function is able to more intuitively handle multiple mandatory requirements or mandatory input sets.

: BA

07.01.2019 - 08:39