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Izvorni znanstveni članak
https://doi.org/10.17535/crorr.2019.0025

Bi-level optimization based on fuzzy if-then rule

Vishnu Pratap Singh   ORCID icon orcid.org/0000-0002-6846-6187 ; Visvesvaraya National Institute of Technology Nagpur
Debjani Chakraborty ; Indian Institute of Technology Kharagpur

Puni tekst: engleski, PDF (455 KB) str. 315-328 preuzimanja: 198* citiraj
APA 6th Edition
Pratap Singh, V. i Chakraborty, D. (2019). Bi-level optimization based on fuzzy if-then rule. Croatian Operational Research Review, 10 (2), 315-328. https://doi.org/10.17535/crorr.2019.0025
MLA 8th Edition
Pratap Singh, Vishnu i Debjani Chakraborty. "Bi-level optimization based on fuzzy if-then rule." Croatian Operational Research Review, vol. 10, br. 2, 2019, str. 315-328. https://doi.org/10.17535/crorr.2019.0025. Citirano 05.08.2021.
Chicago 17th Edition
Pratap Singh, Vishnu i Debjani Chakraborty. "Bi-level optimization based on fuzzy if-then rule." Croatian Operational Research Review 10, br. 2 (2019): 315-328. https://doi.org/10.17535/crorr.2019.0025
Harvard
Pratap Singh, V., i Chakraborty, D. (2019). 'Bi-level optimization based on fuzzy if-then rule', Croatian Operational Research Review, 10(2), str. 315-328. https://doi.org/10.17535/crorr.2019.0025
Vancouver
Pratap Singh V, Chakraborty D. Bi-level optimization based on fuzzy if-then rule. Croatian Operational Research Review [Internet]. 2019 [pristupljeno 05.08.2021.];10(2):315-328. https://doi.org/10.17535/crorr.2019.0025
IEEE
V. Pratap Singh i D. Chakraborty, "Bi-level optimization based on fuzzy if-then rule", Croatian Operational Research Review, vol.10, br. 2, str. 315-328, 2019. [Online]. https://doi.org/10.17535/crorr.2019.0025

Sažetak

A bi-level programming problem has been developed where the functional relationship linking decision variables and the objective functions of leader and follower are not utterly well known to us. Because of the uncertainty in practical life decision-making situation most of the time it is inconvenient to find the veracious relationship between the objective functions of leader, follower and the decision variables. It is expected that the source of information which gives some command about the objective functions of leader and follower, is composed by a block of fuzzy if-then rules. In order to analyze the model, A dynamic programming approach with a suitable fuzzy reasoning scheme is applied to calculate the deterministic functional relationship linking the decision variables and the objective functions of leader as well as follower. Thus a bi-level programming problem is constructed from the actual fuzzy rule-based to the conventional bi-level programming problem. To solve the final problem, we use the lingo software to find the optimal of objective function of follower first and using its solution we optimize the objective function of leader. A numerical example has been solved to signify the computational procedure.

Ključne riječi
bi-level programming; dynamic programming; fuzzy inference schemes; fuzzy rule-base

Hrčak ID: 229883

URI
https://hrcak.srce.hr/229883

Posjeta: 363 *