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.

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Title Linguistic computational model based on 2-tuples and intervals
Author(s) Dong, Yucheng
Zhang, Guiqing
Hong, Wei-Chiang
Yu, Shui
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
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
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