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Aggregation for Atanassov's intuitionistic and interval valued fuzzy sets: the median operator

Beliakov, Gleb, Bustince, Humberto, James, Simon, Calvo, Tomasa and Fernandez, Javier 2012, Aggregation for Atanassov's intuitionistic and interval valued fuzzy sets: the median operator, IEEE transactions on fuzzy systems, vol. 20, no. 3, June, pp. 487-498, doi: 10.1109/TFUZZ.2011.2177271.

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Title Aggregation for Atanassov's intuitionistic and interval valued fuzzy sets: the median operator
Author(s) Beliakov, GlebORCID iD for Beliakov, Gleb
Bustince, Humberto
James, SimonORCID iD for James, Simon
Calvo, Tomasa
Fernandez, Javier
Journal name IEEE transactions on fuzzy systems
Volume number 20
Issue number 3
Season June
Start page 487
End page 498
Total pages 12
Publisher IEEE
Place of publication Piscataway, N.J.
Publication date 2012-06
ISSN 1063-6706
Keyword(s) aggregation operators
Atanassov's intuitionistic fuzzy sets (AIFS)
distributive lattices
interval-valued fuzzy sets (IVFS)
Summary Atanassov'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.
Language eng
DOI 10.1109/TFUZZ.2011.2177271
Field of Research 080108 Neural, Evolutionary and Fuzzy Computation
Socio Economic Objective 970101 Expanding Knowledge in the Mathematical Sciences
HERDC Research category C1 Refereed article in a scholarly journal
Copyright notice ©2012, IEEE
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Document type: Journal Article
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Created: Mon, 13 Aug 2012, 12:51:54 EST

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