Linguistic computational model based on 2-tuples and intervals Dong, Yucheng, Zhang, Guiqing, Hong, Wei-Chiang and Yu, Shui 2013, Linguistic computational model based on 2-tuples and intervals, IEEE Transactions on fuzzy systems, vol. 21, no. 6, pp. 1006-1018, doi: 10.1109/TFUZZ.2013.2239650. Attached Files Name Description MIMEType Size Downloads Title Linguistic computational model based on 2-tuples and intervals Author(s) Dong, Yucheng Zhang, Guiqing Hong, Wei-Chiang Yu, Shui orcid.org/0000-0003-4485-6743 Journal name IEEE Transactions on fuzzy systems Volume number 21 Issue number 6 Start page 1006 End page 1018 Total pages 13 Publisher IEEE Place of publication Piscataway, NJ Publication date 2013-12 ISSN 1063-6706 Keyword(s) computing with words (CW) interval the 2-tuple fuzzy linguistic representation model type-2 fuzzy sets Summary Herrera and Mart́inez initiated a 2-tuple fuzzy linguistic representation model for computing with words.Moreover, Wang and Hao further developed a new 2-tuple fuzzy linguistic representation model to deal with the linguistic term sets that are not uniformly and symmetrically distributed. This study proposes another linguistic computational model based on 2-tuples and intervals, which we call an interval version of the 2-tuple fuzzy linguistic representation model. The proposed model possesses three steps: 1) interval numerical scale; 2) computation based on interval numbers; and 3) a generalized inverse operation of the interval numerical scale. The first step transforms linguistic terms into interval numbers, based on which the second step is executed with output as an interval number. Finally, this number is then mapped into the interval of the linguistic 2-tuples by the generalized inverse operation. This study also generalizes the numerical scale approach, presented in the Wang and Hao model, to set the interval numerical scale, by considering the context where semantics of linguistic terms are defined by interval type-2 fuzzy sets (IT2 FSs). In order to compare the proposed model with the existing linguistic computational model based on IT2 FSs, we have conducted extensive simulations. The simulations demonstrate that the results obtained by our proposal are consistent with the results of the linguistic computational model based on IT2 FSs (in some sense) in a vast majority of cases. Language eng DOI 10.1109/TFUZZ.2013.2239650 Field of Research 080501 Distributed and Grid Systems Socio Economic Objective 970108 Expanding Knowledge in the Information and Computing Sciences HERDC Research category C1 Refereed article in a scholarly journal ERA Research output type C Journal article HERDC collection year 2013 Copyright notice ©2013, IEEE Persistent URL http://hdl.handle.net/10536/DRO/DU:30062556 Document type: Journal Article Collection: School of Information Technology 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 Thu, 24 Apr 2014, 17:06:15 EST Mon, 28 Apr 2014, 09:31:54 EST Mon, 28 Apr 2014, 10:35:40 EST Mon, 28 Apr 2014, 11:29:34 EST Mon, 28 Apr 2014, 11:30:17 EST Thu, 01 May 2014, 15:38:17 EST Filtered Full Citation counts:   Cited 45 times in TR Web of Science Cited 48 times in Scopus Search Google Scholar Access Statistics: 351 Abstract Views, 4 File Downloads  -  Detailed Statistics Created: Thu, 24 Apr 2014, 17:05:51 EST by Sandra Dunoon

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