Un problema de Optimización y las condiciones de optimalidad de Karush Khun Tucker

Autores/as

  • Johnny M. Valverde Montoro

Palabras clave:

KKT, función multivalor intervalo

Resumen

El presente trabajo muestra las condiciones de Karush-Khan-'Tucker en problemas de optimización multiobjetivo con funciones objetivo de valor intervalo considerando relaciones de orden parcial sobre la familia de todos los in-tervalos cerrados en R. Se emplean elementos de la aritmética de intervalos y la diferencia generalizada de Hukuhara.

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Citas

[1] Bao Y., Zao B.. BaI E. (2016) Directional diferentiabi-lity of interval-valued functions, Journal of Mathematics and Computer Science 16.

[2] BazaRaa M., SHERALI H., SHEtTY C. (2006) Nonlinear programming, Theory and Algorithms, Wiley-Interscience, NY.

[3] CHALCO-CANO Y., LODWICK W., RUFIAN-LIZANA A (2013) Optimality conditions of type KKT for optimization problem with interval-valued objective function via generalized derivative, Springer Science+-Business Media, New York.

[4] HOSSEINZADe E., HAsSANPOUR H. (2011) The Karush Kuhn Tucker Optimality conditions in interval-valued multiobjetive programming problems, J. Appl. Math. Informatics Vol. 29.

[5] ISHIBUCHI H., Tanaka H. (1990) Multiobjective programming in optimization of the interval objective fun-ction, European Journal of Operational Research 48.

[6] MOORE R., BAKER R., CLOUD M. (2009) Introduction to interval analysis, SIAM.

[7] STEFANINI L., BEDE B. (2009) Generalized Hukuhara Differentiability of Interval-valued Functions and Interval Differential Equations, WP-EMS Working Papers Series in Economics, Mathematics and Statistics, Vol.

[8] STEFANINI L., Arana M. (2018) Karush-Khun-Tucker conditions for interval and fuzzy optimization in several variables under total and directional generalized differen-tiability article in press www.elsevier.com.

[9] Wu H. (2007) The Karush Khun Tucker optimality conditions in an optimization problem with interval-valued objective function, European Journal of Operational Re search 176, 2007.

[10] Wu H. (2009) The Karush Khun Tucker optimality conditions in multiobjective programming problems with interval-valued objective function, European Journal of Operational Research 196, 2009.

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Publicado

2025-06-06

Cómo citar

Valverde Montoro, J. M. . (2025). Un problema de Optimización y las condiciones de optimalidad de Karush Khun Tucker . REVCIUNI, 23(1), 38–48. Recuperado a partir de https://revistas.uni.edu.pe/index.php/revciuni/article/view/2038

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