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Aggregation for Atanassov's intuitionistic and interval valued fuzzy sets: the median operator
journal contribution
posted on 2012-06-01, 00:00 authored by Gleb BeliakovGleb Beliakov, H Bustince, Simon JamesSimon James, T Calvo, J FernandezAtanassov's intuitionistic fuzzy sets (AIFS) and interval valued fuzzy sets (IVFS) are two generalizations of a fuzzy set, which are equivalent mathematically although different semantically. We analyze the median aggregation operator for AIFS and IVFS. Different mathematical theories have lead to different definitions of the median operator. We look at the median from various perspectives: as an instance of the intuitionistic ordered weighted averaging operator, as a Fermat point in a plane, as a minimizer of input disagreement, and as an operation on distributive lattices. We underline several connections between these approaches and summarize essential properties of the median in different representations.
History
Journal
IEEE transactions on fuzzy systemsVolume
20Issue
3Season
JunePagination
487 - 498Publisher
IEEELocation
Piscataway, N.J.Publisher DOI
ISSN
1063-6706eISSN
1941-0034Language
engPublication classification
C1 Refereed article in a scholarly journalCopyright notice
2012, IEEEUsage metrics
Keywords
aggregation operatorsAtanassov's intuitionistic fuzzy sets (AIFS)distributive latticesinterval-valued fuzzy sets (IVFS)medianScience & TechnologyTechnologyComputer Science, Artificial IntelligenceEngineering, Electrical & ElectronicComputer ScienceEngineeringEFFICIENT ALGORITHMSYSTEMSSUMFUSIONArtificial Intelligence and Image Processing
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