International Journal of Computational Intelligence Systems

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Volume 12, Issue 2, 2019, Pages 1547 - 1556

GRA Method for Probabilistic Linguistic Multiple Attribute Group Decision Making with Incomplete Weight Information and Its Application to Waste Incineration Plants Location Problem

Authors
Fan Lei1, Guiwu Wei2, *, Jianping Lu2, Jiang Wu3, Cun Wei3
1School of Mathematical Sciences, Sichuan Normal University, Chengdu, 610101, P. R. China
2School of Business, Sichuan Normal University, Chengdu, 610101, P. R. China
3School of Statistics, Southwestern University of Finance and Economics, Chengdu, 611130, P. R. China
*Corresponding author. Email: weiguiwu@163.com
Corresponding Author
Guiwu Wei
Received 28 August 2019, Accepted 7 November 2019, Available Online 9 December 2019.
DOI
10.2991/ijcis.d.191203.002How to use a DOI?
Keywords
Multiple attribute group decision making (MAGDM); Probabilistic linguistic term sets (PLTSs); GRA method; Incomplete weight information; Waste incineration plants
Abstract

In this essay, we investigate the probabilistic linguistic multiple attribute group decision making (PL-MAGDM) with incomplete weight information. In this method, the linguistic representation developed recently is converted into probabilistic linguistic information. For deriving the weight information of the attribute, an optimization model is built on the basis of the fundamental idea of grey relational analysis (GRA), by which the attribute weights can be decided. Then, the optimal alternative is chosen through calculating largest relative relational degree from the probabilistic linguistic positive ideal solution (PLPIS) which considers both the largest grey relational coefficient (GRC) from the PLPIS and the smallest GRC form probabilistic linguistic negative ideal solution (PLNIS). In the end, a case study concerning waste incineration plants location problem is given to demonstrate the merits of the developed methods.

Copyright
© 2019 The Authors. Published by Atlantis Press SARL.
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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<Previous Article In Issue
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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
12 - 2
Pages
1547 - 1556
Publication Date
2019/12/09
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.2991/ijcis.d.191203.002How to use a DOI?
Copyright
© 2019 The Authors. Published by Atlantis Press SARL.
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/).

Cite this article

risenwbib
TY  - JOUR
AU  - Fan Lei
AU  - Guiwu Wei
AU  - Jianping Lu
AU  - Jiang Wu
AU  - Cun Wei
PY  - 2019
DA  - 2019/12/09
TI  - GRA Method for Probabilistic Linguistic Multiple Attribute Group Decision Making with Incomplete Weight Information and Its Application to Waste Incineration Plants Location Problem
JO  - International Journal of Computational Intelligence Systems
SP  - 1547
EP  - 1556
VL  - 12
IS  - 2
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.d.191203.002
DO  - 10.2991/ijcis.d.191203.002
ID  - Lei2019
ER  -