Proceedings of the 2015 International Conference on Automation, Mechanical Control and Computational Engineering

Research on Fuzzy Multi-objective Programming based on Effect Probability

Authors
Fachao Li, Jingduo Jie
Corresponding Author
Fachao Li
Available Online April 2015.
DOI
10.2991/amcce-15.2015.107How to use a DOI?
Keywords
FMO-EP; effect probability; multi-objective programming; fuzzy number; decision
Abstract

Crisp multi-objective programming has been applied successfully in many fields. But in real applications, the decision environment often exists randomness and the objectives are fuzzy. So it is significant and valuable to estiblish a fuzzy multi-objective programming model under random environment. In this paper, we use fuzzy number to represent the fuzzy events and fuzzy objectives. Firstly, the general formula of effect probability based on continueous distributions is given combined with effect theory, and a special one based on normal distribution is further given. Secondly, an effect probability-based fuzzy multi-objective programming (abbreviated as FMO-EP) model is proposed by regarding fuzzy objectives as fuzzy events. Finally, the effectiveness and interpretability of FMO-EP is proved through a case.

Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2015 International Conference on Automation, Mechanical Control and Computational Engineering
Series
Advances in Intelligent Systems Research
Publication Date
April 2015
ISBN
10.2991/amcce-15.2015.107
ISSN
1951-6851
DOI
10.2991/amcce-15.2015.107How to use a DOI?
Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Fachao Li
AU  - Jingduo Jie
PY  - 2015/04
DA  - 2015/04
TI  - Research on Fuzzy Multi-objective Programming based on Effect Probability
BT  - Proceedings of the 2015 International Conference on Automation, Mechanical Control and Computational Engineering
PB  - Atlantis Press
SP  - 580
EP  - 585
SN  - 1951-6851
UR  - https://doi.org/10.2991/amcce-15.2015.107
DO  - 10.2991/amcce-15.2015.107
ID  - Li2015/04
ER  -