A Decision Making Approach with Linguistic Weight and Unavoidable Incomparable Ranking

Yunxia Zhang; Degen Huang; Wei Gao; Vassilis G. Kaburlasos

doi:10.2991/ijcis.d.190923.003

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Volume 12, Issue 2, 2019, Pages 1102 - 1112

A Decision Making Approach with Linguistic Weight and Unavoidable Incomparable Ranking

Authors

Yunxia Zhang¹, Degen Huang¹, Wei Gao²^{, *}, Vassilis G. Kaburlasos³

¹School of Computer Science and Technology, Dalian University of Technology, Dalian, 116081, China

²School of Computer and Information Technology, Liaoning Normal University, Dalian, 116024, China

³HUMAIN-Lab, Department of Computer and Informatics Engineering, Kavala, 65404, Greece

^*Corresponding author. Email: gwlnnu@163.com

Corresponding Author

Wei Gao

Received 27 June 2019, Accepted 20 September 2019, Available Online 4 October 2019.

DOI: 10.2991/ijcis.d.190923.003 How to use a DOI?
Keywords: Linguistic lattice implication algebra; Linguistic-real valuation function; Incomparable ranking; Linguistic decision making
Abstract: In order to deal with the decision making problem including some linguistic values uncertainty information, we propose an approach for decision making with linguistic weighted and unavoidable incomparable ranking based on Linguistic-valued lattice implication algebra (LV-LIA). The properties of binary operations $\otimes$ $⊗$ and $\oplus$ $⊕$ are discussed in LV-LIA, and used to handle importance degree of the attributes expressed by linguistic values. We define a linguistic-real valuation function which is a positive valuation function and a linguistic-real metric distance implied by the linguistic-real valuation function is introduced, to process incomparable linguistic values in the results which need further procedure to make a certain decision. Illustrating examples show the effectiveness of the proposed approach which can rank the incomparable elements elastic.
Open Access: This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal: International Journal of Computational Intelligence Systems
Volume-Issue: 12 - 2
Pages: 1102 - 1112
Publication Date: 2019/10/04
ISSN (Online): 1875-6883
ISSN (Print): 1875-6891
DOI: 10.2991/ijcis.d.190923.003 How to use a DOI?
Open Access: This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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ris enw bib

TY  - JOUR
AU  - Yunxia Zhang
AU  - Degen Huang
AU  - Wei Gao
AU  - Vassilis G. Kaburlasos
PY  - 2019
DA  - 2019/10/04
TI  - A Decision Making Approach with Linguistic Weight and Unavoidable Incomparable Ranking
JO  - International Journal of Computational Intelligence Systems
SP  - 1102
EP  - 1112
VL  - 12
IS  - 2
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.d.190923.003
DO  - 10.2991/ijcis.d.190923.003
ID  - Zhang2019
ER  -

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