Research on Fuzzy Multi-objective Programming based on Effect Probability
Fachao Li, Jingduo Jie
Available Online April 2015.
- https://doi.org/10.2991/amcce-15.2015.107How to use a DOI?
- FMO-EP; effect probability; multi-objective programming; fuzzy number; decision
- 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.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
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 - 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 - https://doi.org/10.2991/amcce-15.2015.107 ID - Li2015/04 ER -