Feedback loop scheme as related to axiomatic approach to Pareto set reduction
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 20 (2024) no. 2, pp. 281-288 Cet article a éte moissonné depuis la source Math-Net.Ru

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A feedback loop scheme is proposed as related to axiomatic approach to Pareto set reduction. Necessary information on axiomatic approach is presented and an example is studied. The feedback loop scheme is explored as related to a problem of potential insurance contract conclusion. Problems arising with such approach are discussed, such as criteria selection, automatic quanta collection based on user behavior data and others. The scheme is then modified and an approximate solution algorithm is presented. Future research directions are outlined.
Keywords: choice, Pareto set, feedback loop.
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A. V. Sachkov. Feedback loop scheme as related to axiomatic approach to Pareto set reduction. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 20 (2024) no. 2, pp. 281-288. http://geodesic.mathdoc.fr/item/VSPUI_2024_20_2_a11/

[1] Hamel A. H., Kostner D., Multi-weight ranking for multi-criteria decision making, arXiv: (accessed: December 2, 2023) 2312.03006

[2] Bednarczuk E. M., Miroforidis Ja., Przemyslaw Pz., A multi-criteria approach to approximate solution of multiple-choice knapsack problem, arXiv: (accessed: December 2, 2023) 1712.06723

[3] Noghin V. D., Reduction of the Pareto set: an axiomatic approach, Springer, Cham, Switzerland, 2014, xix+232 pp.

[4] Baskov O. V., “Algorithm for sequential accounting of information on the relative criteria importance in the multicriteria choice problem”, The XLI Annual International Conference on Control Processes and Stability, CPS'10, Publishing House of St. Petersburg State University, St. Petersburg, 2010, 553–558 (In Russian)

[5] Erdil E., Besiroglu T., Explosive growth from AI automation: A review of the arguments, arXiv: (accessed: December 2, 2023) 2309.11690

[6] Sachkov A. V., “Examining the possibility of insurance contract conclusion based on utility function”, Vestnik of Saint Petersburg University. Applied Mathematics. Computer Sciences. Control Processes, 19:3 (2023), 369–373 (In Russian) | DOI | MR

[7] Duan R., Wu H., Zhou R., Faster matrix multiplication via asymmetric hashing, arXiv: (accessed: December 2, 2023) 2210.10173 | MR

[8] Ilyushina A. N., Pershin I. M., Trushnikov V. E., Novozhilov I. M., Pervukhin D. A., Tukeyev D. L., “Design of a software complex for control of induction equipment of metallurgical manufacture using systems theory”, 2023 V International Conference on Control in Technical Systems (CTS), LETI Publ., St. Petersburg, 2023, 83–87

[9] Novozhilov I. M., Sidorenko A. A., Tukeyev D. L., Podkina M. E., Pervukhin D. A., Trushnikov V. E., “Design of software and hardware complex of temperature field diagnostics using the theory of distributed parameter systems”, 2023 V International Conference on Control in Technical Systems (CTS), LETI Publ., St. Petersburg, 2023, 88–91