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A Novel Approach for Solving a Fully Rough Multi-Level Quadratic Programming Problem and Its Application

A Novel Approach for Solving a Fully Rough Multi-Level Quadratic Programming Problem and Its Application

A. A. Abohany, Rizk Masoud Rizk-Allah, Diana T. Mosa, Aboul Ella Hassanien
Copyright: © 2020 |Volume: 11 |Issue: 4 |Pages: 29
ISSN: 1947-959X|EISSN: 1947-9603|EISBN13: 9781799806363|DOI: 10.4018/IJSSMET.2020100109
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MLA

Abohany, A. A., et al. "A Novel Approach for Solving a Fully Rough Multi-Level Quadratic Programming Problem and Its Application." IJSSMET vol.11, no.4 2020: pp.137-165. http://doi.org/10.4018/IJSSMET.2020100109

APA

Abohany, A. A., Rizk-Allah, R. M., Mosa, D. T., & Hassanien, A. E. (2020). A Novel Approach for Solving a Fully Rough Multi-Level Quadratic Programming Problem and Its Application. International Journal of Service Science, Management, Engineering, and Technology (IJSSMET), 11(4), 137-165. http://doi.org/10.4018/IJSSMET.2020100109

Chicago

Abohany, A. A., et al. "A Novel Approach for Solving a Fully Rough Multi-Level Quadratic Programming Problem and Its Application," International Journal of Service Science, Management, Engineering, and Technology (IJSSMET) 11, no.4: 137-165. http://doi.org/10.4018/IJSSMET.2020100109

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Abstract

The most widely used actions and decisions of the real-world tasks frequently appear as hierarchical systems. To deal with these systems, the multi-level programming problem presents the most flourished technique. However, practical situations involve some the impreciseness regarding some decisions and performances; RST provides a vital role by considering the lower and upper bounds of any aspect of uncertain decision. By preserving the advantages of it, in the present study, solving fully rough multi-level quadratic programming problems over the variables, parameters of the objective functions, and the constraints such as rough intervals are focused on. The proposed approach incorporates the interval method, slice-sum method, Frank and Wolfe algorithm, and the decomposition algorithm to reach optimal values as rough intervals. The proposed is validated by an illustrative example, and also environmental-economic power dispatch is investigated as a real application. Finally, the proposed approach is capable of handling the fully rough multi-level quadratic programming models.

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