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

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 mu...

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Vydáno v:International journal of computational intelligence systems Ročník 13; číslo 1; s. 433 - 443
Hlavní autoři: Jin, Chenxia, Li, Fachao, Feng, Kaixin, Guo, Yunfeng
Médium: Journal Article
Jazyk:angličtina
Vydáno: Dordrecht Springer Netherlands 01.01.2020
Springer Nature B.V
Springer
Témata:
Case studies
Decision analysis
Decision making
Expectation value
Fuzzy events
Mathematical programming
Model testing
Multi-objective programming
Randomness
Regular Paper
Reliability
Randomness
Multi-objective programming
Fuzzy events
Reliability
Expectation value
ISSN:1875-6891, 1875-6883, 1875-6883
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Shrnutí: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.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:1875-6891
1875-6883
1875-6883
DOI:10.2991/ijcis.d.200410.001