Computing the numerical scale of the linguistic term set for the 2-tuple fuzzy linguistic representation model

Dong, Yucheng, Xu, Yinfeng and Yu, Shui 2009, Computing the numerical scale of the linguistic term set for the 2-tuple fuzzy linguistic representation model, I E E E transactions on fuzzy systems, vol. 17, no. 6, pp. 1366-1378.

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Title Computing the numerical scale of the linguistic term set for the 2-tuple fuzzy linguistic representation model
Author(s) Dong, Yucheng
Xu, Yinfeng
Yu, Shui
Journal name I E E E transactions on fuzzy systems
Volume number 17
Issue number 6
Start page 1366
End page 1378
Total pages 13
Publisher I E E E
Place of publication Piscataway, NJ
Publication date 2009-12
ISSN 1063-6706
1941-0034
Keyword(s) linguistic modeling
linguistic variables,
numerical scale
transitive calibration
Summary When using linguistic approaches to solve decision problems, we need the techniques for computing with words (CW). Together with the 2-tuple fuzzy linguistic representation models (i.e., the Herrera and Mart´ınez model and the Wang and Hao model), some computational techniques for CW are also developed. In this paper, we define the concept of numerical scale and extend the 2-tuple fuzzy linguistic representation models under the numerical scale.We find that the key of computational techniques
based on linguistic 2-tuples is to set suitable numerical scale with
the purpose of making transformations between linguistic 2-tuples
and numerical values. By defining the concept of the transitive
calibration matrix and its consistent index, this paper develops an optimization model to compute the numerical scale of the linguistic term set. The desired properties of the optimization model are also presented. Furthermore, we discuss how to construct the transitive calibration matrix for decision problems using linguistic preference relations and analyze the linkage between the consistent index of the transitive calibration matrix and one of the linguistic preference relations. The results in this paper are pretty helpful to complete the fuzzy 2-tuple representation models for CW.
Language eng
Field of Research 080605 Decision Support and Group Support Systems
Socio Economic Objective 890399 Information Services not elsewhere classified
HERDC Research category C1 Refereed article in a scholarly journal
Copyright notice ©2009, IEEE
Persistent URL http://hdl.handle.net/10536/DRO/DU:30029172

Document type: Journal Article
Collection: School of Information Technology
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Created: Tue, 08 Jun 2010, 16:04:40 EST by Linda Aldridge

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