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. Attached Files Name Description MIMEType Size Downloads Title Aggregation for Atanassov's intuitionistic and interval valued fuzzy sets: the median operator Author(s) Beliakov, Gleb orcid.org/0000-0002-9841-5292 Bustince, Humberto James, Simon orcid.org/0000-0003-1150-0628 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 1941-0034 Keyword(s) aggregation operators Atanassov's intuitionistic fuzzy sets (AIFS) distributive lattices interval-valued fuzzy sets (IVFS) median 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 Persistent URL http://hdl.handle.net/10536/DRO/DU:30046933 Document type: Journal Article Collections: Faculty of Science, Engineering and Built Environment School of Information Technology 2018 ERA Submission Related Links Link Description Connect to published version (restricted access) Go to link with your DU access privileges     Unless expressly stated otherwise, the copyright for items in DRO is owned by the author, with all rights reserved. Versions Version Filter Type Mon, 13 Aug 2012, 12:51:54 EST Fri, 12 Oct 2012, 09:23:49 EST Fri, 12 Oct 2012, 09:49:56 EST Tue, 05 Nov 2013, 08:31:38 EST Mon, 16 Dec 2013, 15:51:01 EST Fri, 13 Jun 2014, 14:40:42 EST Fri, 06 Feb 2015, 10:59:00 EST Filtered Full Citation counts:   Cited 58 times in TR Web of Science Cited 58 times in Scopus Search Google Scholar Access Statistics: 810 Abstract Views, 9 File Downloads  -  Detailed Statistics Created: Mon, 13 Aug 2012, 12:51:54 EST