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On the orness of Bonferroni mean and its variants
Author(s) -
Dutta Bapi,
Figueira José Rui,
Das Satyajit
Publication year - 2019
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.22124
Subject(s) - measure (data warehouse) , computation , bonferroni correction , mathematics , monte carlo method , mathematical optimization , computer science , algorithm , statistics , database
This article addresses orness measures to reflect the or‐like degree of the Bonferroni mean (BM) and its variants. Some properties of these operators associated with their orness measures are portrayed analytically. However, the general orness measure involves the multiple integrals with the integral fold number being the number of the aggregated elements and as a result, the computation becomes complicated when the number of the aggregated elements is large. Furthermore, the analytical formula of the orness measure often cannot be obtained. For this reason, this study concentrates on Monte Carlo simulation to validate the result. We estimate the two parameters of the BM for a predefined orness value and a fixed length of the input vector. Besides the theoretical study of orness measure related to BM and its variants, the article also explores the simulation‐based results. To support this, we provide four numerical examples.