The ranking method of interval linguistic preference relations based on cross effciency DEA and stochastic simulation

Jinpei Liu; Peipei Chen; Huayou Chen; Shuling Wang

doi:10.12011/1000-6788(2018)04-0950-10

The ranking method of interval linguistic preference relations based on cross effciency DEA and stochastic simulation

Jinpei Liu
, Peipei Chen
, Huayou Chen
, Shuling Wang

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

4 Citations (Scopus)

Abstract

For the ranking problem of interval additive linguistic preference relation, we propose a new method to calculate the priority vector based on cross effciency DEA and stochastic simulation. Firstly, the output-oriented DEA model is constructed for the additive consistent preference relations, and the intrinsic correlation between the relative effciency score and the ranking vector is analyzed. Secondly, we develop a revised benevolent cross-evaluation DEA model for the inconsistent additive linguistic preference relation and a sorting method of additive linguistic preference relation is proposed based on this model. Finally, the proposed DEA model is combined with stochastic preference analysis, and a Monte Carlo calculation method for the expected priority vector and conﬁdence of the interval additive linguistic preference relations is proposed. The numerical results show that the proposed method can effectively avoid the loss of information and has good reliability and applicability. © 2018, Editorial Board of Journal of Systems Engineering Society of China. All right reserved.

Original language	English
Pages (from-to)	950-960
Journal	Xitong Gongcheng Lilun yu Shijian/System Engineering Theory and Practice
Volume	38
Issue number	4
DOIs	https://doi.org/10.12011/1000-6788(2018)04-0950-10
Publication status	Published - 1 Apr 2018
Externally published	Yes

Bibliographical note

Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

Funding

: 2016-10-24 pq : (1984–), , , : (1969–), , , , , : !"#: $ (71501002, 71371011, 61502003, 71301001); 133); Æ (AHSKQ2014D13, AHSKQ2016D13) Foundation item: National Natural Science Foundation of China (71501002, 71371011, 61502003, 71301001); Natural Science Foundation of Anhui Province of China (1508085QG149, 1608085QF133); Philosophy and Social Science Planning Youth Foundation of Anhui Province of China (AHSKQ2014D13, AHSKQ2016D13) r%st&': , , , . DEA , 2018, 38(4): 950–959. u%st&': Liu J P, Chen P P, Chen H Y, et al. The ranking method of interval linguistic preference relations based on cross efficiency DEA and stochastic simulation[J]. Systems Engineering — Theory & Practice, 2018, 38(4): 950–959.

Research Keywords

Cross-effciency
DEA
Interval linguistic preference relation
Stochastic simulation

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title = "The ranking method of interval linguistic preference relations based on cross effciency DEA and stochastic simulation",

abstract = "For the ranking problem of interval additive linguistic preference relation, we propose a new method to calculate the priority vector based on cross effciency DEA and stochastic simulation. Firstly, the output-oriented DEA model is constructed for the additive consistent preference relations, and the intrinsic correlation between the relative effciency score and the ranking vector is analyzed. Secondly, we develop a revised benevolent cross-evaluation DEA model for the inconsistent additive linguistic preference relation and a sorting method of additive linguistic preference relation is proposed based on this model. Finally, the proposed DEA model is combined with stochastic preference analysis, and a Monte Carlo calculation method for the expected priority vector and conﬁdence of the interval additive linguistic preference relations is proposed. The numerical results show that the proposed method can effectively avoid the loss of information and has good reliability and applicability. {\textcopyright} 2018, Editorial Board of Journal of Systems Engineering Society of China. All right reserved.",

keywords = "Cross-effciency, DEA, Interval linguistic preference relation, Stochastic simulation",

author = "Jinpei Liu and Peipei Chen and Huayou Chen and Shuling Wang",

note = "Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].",

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The ranking method of interval linguistic preference relations based on cross effciency DEA and stochastic simulation. / Liu, Jinpei; Chen, Peipei; Chen, Huayou et al.
In: Xitong Gongcheng Lilun yu Shijian/System Engineering Theory and Practice, Vol. 38, No. 4, 01.04.2018, p. 950-960.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

TY - JOUR

T1 - The ranking method of interval linguistic preference relations based on cross effciency DEA and stochastic simulation

AU - Liu, Jinpei

AU - Chen, Peipei

AU - Chen, Huayou

AU - Wang, Shuling

N1 - Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

PY - 2018/4/1

Y1 - 2018/4/1

N2 - For the ranking problem of interval additive linguistic preference relation, we propose a new method to calculate the priority vector based on cross effciency DEA and stochastic simulation. Firstly, the output-oriented DEA model is constructed for the additive consistent preference relations, and the intrinsic correlation between the relative effciency score and the ranking vector is analyzed. Secondly, we develop a revised benevolent cross-evaluation DEA model for the inconsistent additive linguistic preference relation and a sorting method of additive linguistic preference relation is proposed based on this model. Finally, the proposed DEA model is combined with stochastic preference analysis, and a Monte Carlo calculation method for the expected priority vector and conﬁdence of the interval additive linguistic preference relations is proposed. The numerical results show that the proposed method can effectively avoid the loss of information and has good reliability and applicability. © 2018, Editorial Board of Journal of Systems Engineering Society of China. All right reserved.

AB - For the ranking problem of interval additive linguistic preference relation, we propose a new method to calculate the priority vector based on cross effciency DEA and stochastic simulation. Firstly, the output-oriented DEA model is constructed for the additive consistent preference relations, and the intrinsic correlation between the relative effciency score and the ranking vector is analyzed. Secondly, we develop a revised benevolent cross-evaluation DEA model for the inconsistent additive linguistic preference relation and a sorting method of additive linguistic preference relation is proposed based on this model. Finally, the proposed DEA model is combined with stochastic preference analysis, and a Monte Carlo calculation method for the expected priority vector and conﬁdence of the interval additive linguistic preference relations is proposed. The numerical results show that the proposed method can effectively avoid the loss of information and has good reliability and applicability. © 2018, Editorial Board of Journal of Systems Engineering Society of China. All right reserved.

KW - Cross-effciency

KW - DEA

KW - Interval linguistic preference relation

KW - Stochastic simulation

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ER -

The ranking method of interval linguistic preference relations based on cross effciency DEA and stochastic simulation

Abstract

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Research Keywords

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