File(s) under permanent embargo
Defining Bonferroni means over lattices
conference contribution
posted on 2012-01-01, 00:00 authored by Gleb BeliakovGleb Beliakov, Simon JamesSimon JamesIn the face of mass amounts of information and the need for transparent and fair decision processes, aggregation functions are essential for summarizing data and providing overall evaluations. Although families such as weighted means and medians have been well studied, there are still applications for which no existing aggregation functions can capture the decision makers' preferences. Furthermore, extensions of aggregation functions to lattices are often needed to model operations on L-fuzzy sets, interval-valued and intuitionistic fuzzy sets. In such cases, the aggregation properties need to be considered in light of the lattice structure, as otherwise counterintuitive or unreliable behavior may result. The Bonferroni mean has recently received attention in the fuzzy sets and decision making community as it is able to model useful notions such as mandatory requirements. Here, we consider its associated penalty function to extend the generalized Bonferroni mean to lattices. We show that different notions of dissimilarity on lattices can lead to alternative expressions.
History
Event
International Conference on Fuzzy Systems (2012 : Brisbane, Qld.)Pagination
67 - 74Publisher
IEEE Computer SocietyLocation
Brisbane, Qld.Place of publication
Los Alamitos, Calif.Publisher DOI
Start date
2012-06-10End date
2012-06-15ISSN
1098-7584ISBN-13
9781467315050Language
engNotes
This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.Publication classification
E1 Full written paper - refereedCopyright notice
2012, IEEETitle of proceedings
FUZZ-IEEE 2012 : Proceedings of the IEEE 2012 International Conference on Fuzzy SystemsUsage metrics
Categories
No categories selectedKeywords
Licence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC