IDEAS home Printed from https://ideas.repec.org/r/eee/ejores/v176y2007i1p46-59.html

The Karush-Kuhn-Tucker optimality conditions in an optimization problem with interval-valued objective function

Citations

Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
as


Cited by:

  1. Chuang-liang Zhang & Yun-cheng Liu & Nan-jing Huang, 2026. "Approximate Solutions for a Class of Multiobjective Interval-Valued Optimization Problems with Applications," Journal of Optimization Theory and Applications, Springer, vol. 208(2), pages 1-27, February.
  2. Shaojie Zhang & Mahdi Hasanipanah & Biao He & Ahmad Safuan A. Rashid & Dmitrii Vladimirovich Ulrikh & Qiancheng Fang, 2022. "An Optimized Clustering Approach to Investigate the Main Features in Predicting the Punching Shear Capacity of Steel Fiber-Reinforced Concrete," Sustainability, MDPI, vol. 14(19), pages 1-21, October.
  3. Yating Guo & Guoju Ye & Wei Liu & Dafang Zhao & Savin Treanţǎ, 2021. "Optimality Conditions and Duality for a Class of Generalized Convex Interval-Valued Optimization Problems," Mathematics, MDPI, vol. 9(22), pages 1-14, November.
  4. R. Osuna-Gómez & B. Hernández-Jiménez & Y. Chalco-Cano & G. Ruiz-Garzón, 2018. "Different optimum notions for fuzzy functions and optimality conditions associated," Fuzzy Optimization and Decision Making, Springer, vol. 17(2), pages 177-193, June.
  5. Hilal Ahmad Bhat & Akhlad Iqbal & Mahwash Aftab, 2025. "Optimality Conditions for Interval-Valued Optimization Problems on Riemannian Manifolds Under a Total Order Relation," Journal of Optimization Theory and Applications, Springer, vol. 205(1), pages 1-29, April.
  6. Savin Treanţă & Tareq Saeed, 2023. "On Weak Variational Control Inequalities via Interval Analysis," Mathematics, MDPI, vol. 11(9), pages 1-11, May.
  7. A. Rufián-Lizana & Y. Chalco-Cano & G. Ruiz-Garzón & H. Román-Flores, 2014. "On some characterizations of preinvex fuzzy mappings," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(2), pages 771-783, July.
  8. Chuang-Liang Zhang, 2026. "Levitin-Polyak Well-Posedness and Stability in Multiobjective Interval-Valued Optimization Problems with Applications," Journal of Optimization Theory and Applications, Springer, vol. 209(1), pages 1-20, April.
  9. H. C. Wu, 2008. "Wolfe Duality for Interval-Valued Optimization," Journal of Optimization Theory and Applications, Springer, vol. 138(3), pages 497-509, September.
  10. Luhandjula, M.K. & Rangoaga, M.J., 2014. "An approach for solving a fuzzy multiobjective programming problem," European Journal of Operational Research, Elsevier, vol. 232(2), pages 249-255.
  11. Jiang, C. & Zhang, Z.G. & Zhang, Q.F. & Han, X. & Xie, H.C. & Liu, J., 2014. "A new nonlinear interval programming method for uncertain problems with dependent interval variables," European Journal of Operational Research, Elsevier, vol. 238(1), pages 245-253.
  12. Agarwal, Deepika & Singh, Pitam & El Sayed, M.A., 2023. "The Karush–Kuhn–Tucker (KKT) optimality conditions for fuzzy-valued fractional optimization problems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 205(C), pages 861-877.
  13. Shi, Fangfang & Ye, Guoju & Liu, Wei & Zhao, Dafang, 2023. "A class of nonconvex fuzzy optimization problems under granular differentiability concept," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 211(C), pages 430-444.
  14. Fabiola Roxana Villanueva & Valeriano Antunes Oliveira, 2022. "Necessary Optimality Conditions for Interval Optimization Problems with Functional and Abstract Constraints," Journal of Optimization Theory and Applications, Springer, vol. 194(3), pages 896-923, September.
  15. Julie Khatri & T. Phaneendra, 2025. "Exact $$l_1$$ l 1 exponential penalty approach for interval-valued mathematical problems," OPSEARCH, Springer;Operational Research Society of India, vol. 62(4), pages 2110-2137, December.
  16. U. M. Pirzada & V. D. Pathak, 2013. "Newton Method for Solving the Multi-Variable Fuzzy Optimization Problem," Journal of Optimization Theory and Applications, Springer, vol. 156(3), pages 867-881, March.
  17. Guo, Yating & Ye, Guoju & Liu, Wei & Zhao, Dafang & Treanţă, Savin, 2022. "On symmetric gH-derivative: Applications to dual interval-valued optimization problems," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
  18. Kin Keung Lai & Shashi Kant Mishra & Sanjeev Kumar Singh & Mohd Hassan, 2022. "Stationary Conditions and Characterizations of Solution Sets for Interval-Valued Tightened Nonlinear Problems," Mathematics, MDPI, vol. 10(15), pages 1-16, August.
  19. Nanxiang Yu & Dong Qiu, 2017. "The Karush-Kuhn-Tucker Optimality Conditions for the Fuzzy Optimization Problems in the Quotient Space of Fuzzy Numbers," Complexity, Hindawi, vol. 2017, pages 1-8, August.
  20. Tadeusz Antczak, 2023. "Optimality conditions for invex nonsmooth optimization problems with fuzzy objective functions," Fuzzy Optimization and Decision Making, Springer, vol. 22(1), pages 1-21, March.
  21. Rekha R. Jaichander & Izhar Ahmad & Krishna Kummari & Suliman Al-Homidan, 2022. "Robust Nonsmooth Interval-Valued Optimization Problems Involving Uncertainty Constraints," Mathematics, MDPI, vol. 10(11), pages 1-19, May.
  22. Zhang, Chuang-liang & Huang, Nan-jing & O’Regan, Donal, 2023. "On variational methods for interval-valued functions with some applications," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
  23. Md Sadikur Rahman & Ali Akbar Shaikh & Irfan Ali & Asoke Kumar Bhunia & Armin Fügenschuh, 2021. "A Theoretical Framework for Optimality Conditions of Nonlinear Type-2 Interval-Valued Unconstrained and Constrained Optimization Problems Using Type-2 Interval Order Relations," Mathematics, MDPI, vol. 9(8), pages 1-22, April.
  24. Lifeng Li, 2023. "Optimality conditions for nonlinear optimization problems with interval-valued objective function in admissible orders," Fuzzy Optimization and Decision Making, Springer, vol. 22(2), pages 247-265, June.
  25. Julie Khatri & Ashish Kumar Prasad, 2026. "$$\mathcal {E}$$ E -LU-pareto solutions for semi-infinite programs with multiple intervals," OPSEARCH, Springer;Operational Research Society of India, vol. 63(1), pages 199-222, March.
  26. Wu, Hsien-Chung, 2009. "The Karush-Kuhn-Tucker optimality conditions in multiobjective programming problems with interval-valued objective functions," European Journal of Operational Research, Elsevier, vol. 196(1), pages 49-60, July.
  27. T. Antczak, 2018. "Exactness Property of the Exact Absolute Value Penalty Function Method for Solving Convex Nondifferentiable Interval-Valued Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 176(1), pages 205-224, January.
IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.