Λεπτομέρειες βιβλιογραφικής εγγραφής
| Τίτλος: |
Mathematical analysis of desirability functions. |
| Συγγραφείς: |
Akteke-Öztürk, Başak1,2,3 (AUTHOR) bozturk@metu.edu.tr, Weber, Gerhard Wilhelm1,2,3 (AUTHOR), Köksal, Gülser1,2,3 (AUTHOR) |
| Πηγή: |
Central European Journal of Operations Research. Sep2026, Vol. 34 Issue 3, p987-999. 13p. |
| Θεματικοί όροι: |
*Mathematical analysis, Lipschitz continuity, Optimization algorithms, Smoothness of functions, Multi-objective optimization |
| Περίληψη: |
In this study, we present the different aspects of functional properties of desirability functions which is a scalarization method for multi-response optimization problems (MROPs). In a multiple-response optimization problem, the aim is to define and achieve the optimal conditions for a process, product or system by considering multiple response variables simultaneously. Desirability functions is currently a well-known and powerful tool for researchers and scientist who study MROPS. The paper presents a study on the mathematical analysis of desirability functions focusing on two key aspects: Lipschitz continuity and Clarke generalized derivative. The paper highlights the importance of understanding the mathematical properties of desirability functions in decision-making and optimization. The findings of the paper have implications for the development of optimization algorithms and strategies for handling nonsmooth functions. We end with a conclusion and an outlook to future researches and applications. [ABSTRACT FROM AUTHOR] |
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| Βάση Δεδομένων: |
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