An enhanced possibilistic programming model with fuzzy random confidence-interval for multi-objective problem
Mathematical models are established to represent real-world problems. Since the real-world faces various types of uncertainties, it makes mathematical model suffers with insufficient uncertainties modeling. The existing models lack of explanation in dealing uncertainties. In this paper, construction...
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| Format: | Article |
| Language: | en |
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Springer Nature
2018
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| Online Access: | http://eprints.uthm.edu.my/5658/1/AJ%202018%20%28288%29.pdf http://eprints.uthm.edu.my/5658/ |
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| author | Arbaiy, Nureize Samsudin, Noor Azah Mustapa, Aida Watada, Junzo Pei, Chun Lin |
| author_facet | Arbaiy, Nureize Samsudin, Noor Azah Mustapa, Aida Watada, Junzo Pei, Chun Lin |
| author_sort | Arbaiy, Nureize |
| building | UTHM Library |
| collection | Institutional Repository |
| content_provider | Universiti Tun Hussein Onn Malaysia |
| content_source | UTHM Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | Mathematical models are established to represent real-world problems. Since the real-world faces various types of uncertainties, it makes mathematical model suffers with insufficient uncertainties modeling. The existing models lack of explanation in dealing uncertainties. In this paper, construction of mathematical model for decision making scenario with uncertainties is presented. Primarily, fuzzy random regression is applied to formulate a corresponding mathematical model from real application of a multi-objective problem. Then, a technique in possibilistic theory, known as modality optimization is used to solve the developed model. Consequently, the result shows that a well-defined multi-objective mathematical model is possible to be formulated for decision making problems with the uncertainty. Indeed, such problems with uncertainties can be solved efficiently with the presence of modality optimization. |
| format | Article |
| id | my.uthm.eprints-5658 |
| institution | Universiti Tun Hussein Onn Malaysia |
| language | en |
| publishDate | 2018 |
| publisher | Springer Nature |
| record_format | eprints |
| spelling | my.uthm.eprints-56582022-01-20T02:05:35Z http://eprints.uthm.edu.my/5658/ An enhanced possibilistic programming model with fuzzy random confidence-interval for multi-objective problem Arbaiy, Nureize Samsudin, Noor Azah Mustapa, Aida Watada, Junzo Pei, Chun Lin QA273-280 Probabilities. Mathematical statistics Mathematical models are established to represent real-world problems. Since the real-world faces various types of uncertainties, it makes mathematical model suffers with insufficient uncertainties modeling. The existing models lack of explanation in dealing uncertainties. In this paper, construction of mathematical model for decision making scenario with uncertainties is presented. Primarily, fuzzy random regression is applied to formulate a corresponding mathematical model from real application of a multi-objective problem. Then, a technique in possibilistic theory, known as modality optimization is used to solve the developed model. Consequently, the result shows that a well-defined multi-objective mathematical model is possible to be formulated for decision making problems with the uncertainty. Indeed, such problems with uncertainties can be solved efficiently with the presence of modality optimization. Springer Nature 2018 Article PeerReviewed text en http://eprints.uthm.edu.my/5658/1/AJ%202018%20%28288%29.pdf Arbaiy, Nureize and Samsudin, Noor Azah and Mustapa, Aida and Watada, Junzo and Pei, Chun Lin (2018) An enhanced possibilistic programming model with fuzzy random confidence-interval for multi-objective problem. Innovative Computing, Optimization and Its Applications, 741. pp. 217-235. ISSN 978-3-319-66983-0 |
| spellingShingle | QA273-280 Probabilities. Mathematical statistics Arbaiy, Nureize Samsudin, Noor Azah Mustapa, Aida Watada, Junzo Pei, Chun Lin An enhanced possibilistic programming model with fuzzy random confidence-interval for multi-objective problem |
| title | An enhanced possibilistic programming model with fuzzy random confidence-interval for multi-objective problem |
| title_full | An enhanced possibilistic programming model with fuzzy random confidence-interval for multi-objective problem |
| title_fullStr | An enhanced possibilistic programming model with fuzzy random confidence-interval for multi-objective problem |
| title_full_unstemmed | An enhanced possibilistic programming model with fuzzy random confidence-interval for multi-objective problem |
| title_short | An enhanced possibilistic programming model with fuzzy random confidence-interval for multi-objective problem |
| title_sort | enhanced possibilistic programming model with fuzzy random confidence-interval for multi-objective problem |
| topic | QA273-280 Probabilities. Mathematical statistics |
| url | http://eprints.uthm.edu.my/5658/1/AJ%202018%20%28288%29.pdf http://eprints.uthm.edu.my/5658/ |
| url_provider | http://eprints.uthm.edu.my/ |