0399787 20240103203354.720140107235959.9 84887852131 000335342800050 10.1109/FUZZ-IEEE.2013.6622348 6 s. E cav_un_epca*0422490978-1-4799-0020-61098-7584PiscatawayIEEE2013 Aggregation functions Bonferroni mean Mandatory criteria Decision making cav_un_auth*0271526 Beliakov G. AU cav_un_auth*0298831 James S. AU cav_un_auth*0101163 Ekonometrie Department of Econometrics E E Department of Econometrics Mesiar Radko UTIA-B G Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2013/E/mesiar-0399787.pdf cav_un_auth*0273630 GAP402/11/0378 GA ČR 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. cav_un_auth*0297061 2013 IEEE International Conference on Fuzzy Systems 07.07.2013-10.07.2013 Hyderabad IN BA 2014 3 PR RVO:67985556 http://hdl.handle.net/11104/0228632 1 31 0.270 20.1 0.55 Q3 2013 84887852131 SCOPUS 000335342800050 WOS cav_un_epca*0422490 Proceedings of the 2013 IEEE International Conference on Fuzzy Systems (FUZZ 2013) 978-1-4799-0020-6 1098-7584 Piscataway IEEE 2013