An MAGDM Approach Combining Numerical Values with Uncertain Linguistic Information and Its Application in Evaluation of R&D Projects Xin-Bao Liu , Feng Pei , Jian-Bo Yang , Shan-Lin Yang
In multi-attribute group decision making (MAGDM) problems, decision attributes of alternatives are often considered as with quantitative and qualitative information. Therefore decision making problems may include preference information in different formats. In this paper, a multi-attribute group dec...
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doaj-6921bf98e08b44099dc5e5caae54207e2020-11-25T02:06:04ZengAtlantis PressInternational Journal of Computational Intelligence Systems 1875-68832010-11-013510.2991/ijcis.2010.3.5.7An MAGDM Approach Combining Numerical Values with Uncertain Linguistic Information and Its Application in Evaluation of R&D Projects Xin-Bao Liu , Feng Pei , Jian-Bo Yang , Shan-Lin YangXin-Bao LiuFeng PeiJiab-Bo YangShan-Lin YangIn multi-attribute group decision making (MAGDM) problems, decision attributes of alternatives are often considered as with quantitative and qualitative information. Therefore decision making problems may include preference information in different formats. In this paper, a multi-attribute group decision making model based on numerical and uncertain linguistic information is investigated. Uncertain linguistic information reflects the subjectivity and uncertainty of evaluation with respect to qualitative attributes. A transformation function and an extended TOPSIS procedure are proposed to deal with this MAGDM model with numerical and uncertain linguistic information. In order to implement the TOPSIS procedure, the distance of interval numbers and the distance of n-dimensional interval numbers are defined, they are both in form of interval numbers to preserve the uncertainty of original information. The proposed approach is illustrated by a numerical example, and is applied in the evaluation of R&D projects in the final part of the paper.https://www.atlantis-press.com/article/2093.pdfMAGDM; TOPSIS; Uncertain linguistic variables; Transformation function |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Xin-Bao Liu Feng Pei Jiab-Bo Yang Shan-Lin Yang |
spellingShingle |
Xin-Bao Liu Feng Pei Jiab-Bo Yang Shan-Lin Yang An MAGDM Approach Combining Numerical Values with Uncertain Linguistic Information and Its Application in Evaluation of R&D Projects Xin-Bao Liu , Feng Pei , Jian-Bo Yang , Shan-Lin Yang International Journal of Computational Intelligence Systems MAGDM; TOPSIS; Uncertain linguistic variables; Transformation function |
author_facet |
Xin-Bao Liu Feng Pei Jiab-Bo Yang Shan-Lin Yang |
author_sort |
Xin-Bao Liu |
title |
An MAGDM Approach Combining Numerical Values with Uncertain Linguistic Information and Its Application in Evaluation of R&D Projects Xin-Bao Liu , Feng Pei , Jian-Bo Yang , Shan-Lin Yang |
title_short |
An MAGDM Approach Combining Numerical Values with Uncertain Linguistic Information and Its Application in Evaluation of R&D Projects Xin-Bao Liu , Feng Pei , Jian-Bo Yang , Shan-Lin Yang |
title_full |
An MAGDM Approach Combining Numerical Values with Uncertain Linguistic Information and Its Application in Evaluation of R&D Projects Xin-Bao Liu , Feng Pei , Jian-Bo Yang , Shan-Lin Yang |
title_fullStr |
An MAGDM Approach Combining Numerical Values with Uncertain Linguistic Information and Its Application in Evaluation of R&D Projects Xin-Bao Liu , Feng Pei , Jian-Bo Yang , Shan-Lin Yang |
title_full_unstemmed |
An MAGDM Approach Combining Numerical Values with Uncertain Linguistic Information and Its Application in Evaluation of R&D Projects Xin-Bao Liu , Feng Pei , Jian-Bo Yang , Shan-Lin Yang |
title_sort |
magdm approach combining numerical values with uncertain linguistic information and its application in evaluation of r&d projects xin-bao liu , feng pei , jian-bo yang , shan-lin yang |
publisher |
Atlantis Press |
series |
International Journal of Computational Intelligence Systems |
issn |
1875-6883 |
publishDate |
2010-11-01 |
description |
In multi-attribute group decision making (MAGDM) problems, decision attributes of alternatives are often considered as with quantitative and qualitative information. Therefore decision making problems may include preference information in different formats. In this paper, a multi-attribute group decision making model based on numerical and uncertain linguistic information is investigated. Uncertain linguistic information reflects the subjectivity and uncertainty of evaluation with respect to qualitative attributes. A transformation function and an extended TOPSIS procedure are proposed to deal with this MAGDM model with numerical and uncertain linguistic information. In order to implement the TOPSIS procedure, the distance of interval numbers and the distance of n-dimensional interval numbers are defined, they are both in form of interval numbers to preserve the uncertainty of original information. The proposed approach is illustrated by a numerical example, and is applied in the evaluation of R&D projects in the final part of the paper. |
topic |
MAGDM; TOPSIS; Uncertain linguistic variables; Transformation function |
url |
https://www.atlantis-press.com/article/2093.pdf |
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