International Journal of Computational Intelligence Systems

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Volume 13, Issue 1, 2020, Pages 433 - 443

A Two-Stage Multi-objective Programming Model to Improve the Reliability of Solution

Authors
Chenxia Jin1, 2, Fachao Li2, *, Kaixin Feng2, Yunfeng Guo2
1School of Mathematical Sciences, Hebei Normal University, Shijiazhuang 050024, China
2School of Economics and Management, Hebei University of Science and Technology, Shijiazhuang 050018, China
*Corresponding author. Email: lifachao@tsinghua.org.cn
Corresponding Author
Fachao Li
Received 15 October 2019, Accepted 4 April 2020, Available Online 27 April 2020.
DOI
10.2991/ijcis.d.200410.001How to use a DOI?
Keywords
Multi-objective programming; Randomness; Expectation value; Fuzzy events; Reliability
Abstract

Randomness is a common uncertainty encountered in practical multi-objectives decision-making. But it is always a challenge for decision-makers to process randomness in multi-objective programming problems. This paper takes the decision-making objectives as fuzzy events and aims to solve numerical multi-objective programming problems under random environment. We first analyze the effects of randomness on multi-objective decision-making results. With the expectation value and the probability of fuzzy events as quantitative index of randomness, we then establish a two-stage random multi-objective programming model based on reliability (i.e., TS-MOPM). Specifically, we give several probability calculation methods of fuzzy events with common distributions, and further present the corresponding calculation procedures for solving TS-MOPM. Finally, a case study is implemented to test the proposed model TS-MOPM. Theoretical analysis and case study indicate that our model has better interpretability and operability. The research results enrich the existing random multi-objective programming methods to some extent.

Copyright
© 2020 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
Next Article In Issue>
Journal
International Journal of Computational Intelligence Systems
Volume-Issue
13 - 1
Pages
433 - 443
Publication Date
2020/04/27
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.2991/ijcis.d.200410.001How to use a DOI?
Copyright
© 2020 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  - Chenxia Jin
AU  - Fachao Li
AU  - Kaixin Feng
AU  - Yunfeng Guo
PY  - 2020
DA  - 2020/04/27
TI  - A Two-Stage Multi-objective Programming Model to Improve the Reliability of Solution
JO  - International Journal of Computational Intelligence Systems
SP  - 433
EP  - 443
VL  - 13
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.d.200410.001
DO  - 10.2991/ijcis.d.200410.001
ID  - Jin2020
ER  -