File(s) under permanent embargo
Averaging aggregation functions for preferences expressed as Pythagorean membership grades and fuzzy orthopairs
conference contribution
posted on 2014-09-04, 00:00 authored by Gleb BeliakovGleb Beliakov, Simon JamesSimon JamesRather than denoting fuzzy membership with a single value, orthopairs such as Atanassov's intuitionistic membership and non-membership pairs allow the incorporation of uncertainty, as well as positive and negative aspects when providing evaluations in fuzzy decision making problems. Such representations, along with interval-valued fuzzy values and the recently introduced Pythagorean membership grades, present particular challenges when it comes to defining orders and constructing aggregation functions that behave consistently when summarizing evaluations over multiple criteria or experts. In this paper we consider the aggregation of pairwise preferences denoted by membership and non-membership pairs. We look at how mappings from the space of Atanassov orthopairs to more general classes of fuzzy orthopairs can be used to help define averaging aggregation functions in these new settings. In particular, we focus on how the notion of 'averaging' should be treated in the case of Yager's Pythagorean membership grades and how to ensure that such functions produce outputs consistent with the case of ordinary fuzzy membership degrees.
History
Event
IEEE International Conference on Fuzzy Systems (2014 : Beijing, China)Pagination
298 - 305Publisher
IEEELocation
Beijing; ChinaPlace of publication
Piscataway, N.J.Publisher DOI
Start date
2014-07-06End date
2014-07-11ISSN
1098-7584ISBN-13
9781479920723Language
engPublication classification
E Conference publication; E1 Full written paper - refereedCopyright notice
2014, Institute of Electrical and Electronics Engineers Inc.Editor/Contributor(s)
[Unknown]Title of proceedings
FUZZ-IEEE 2014 : Proceedings of the 2014 IEEE International Conference on Fuzzy SystemsUsage metrics
Categories
No categories selectedKeywords
aggregation functionsAtanassov intuitionistic fuzzy setsgroup decision makingpreferences aggregationPythagorean fuzzy setsScience & TechnologyTechnologyAutomation & Control SystemsComputer Science, Artificial IntelligenceEngineering, Electrical & ElectronicComputer ScienceEngineeringDECISION-MAKINGSET-THEORYINTERVAL
Licence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC