Paper Info
Title
On The Orness Of Bonferroni Mean And Its Variants
Abstract
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.
Year
DOI
Venue
2019
10.1002/int.22124
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS
Keywords
Field
DocType
aggregation operator, Bonferroni mean, decision-making, Monte Carlo simulation, orness measure
Data mining,Monte Carlo method,Bonferroni mean,Statistics,Mathematics
Journal
Volume
Issue
ISSN
34
8
0884-8173
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Bapi Dutta1877.82
José Rui Figueira285259.84
satyajit das3384.36