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Multiobjective programming in optimization of the interval objective function

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Cited by:

  1. Shu-Ping Wan & Feng Wang & Gai-li Xu & Jiu-ying Dong & Jing Tang, 2017. "An intuitionistic fuzzy programming method for group decision making with interval-valued fuzzy preference relations," Fuzzy Optimization and Decision Making, Springer, vol. 16(3), pages 269-295, September.
  2. Huang, G. H. & Baetz, B. W. & Patry, G. G., 1995. "Grey fuzzy integer programming: An application to regional waste management planning under uncertainty," Socio-Economic Planning Sciences, Elsevier, vol. 29(1), pages 17-38, March.
  3. Kash Barker & Kaycee J. Wilson, 2012. "Decision Trees with Single and Multiple Interval-Valued Objectives," Decision Analysis, INFORMS, vol. 9(4), pages 348-358, December.
  4. A O Kazakçi & S Rozakis & D Vanderpooten, 2007. "Energy crop supply in France: a min-max regret approach," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(11), pages 1470-1479, November.
  5. Debjani Chakraborti, 2016. "Evolutionary technique based goal programming approach to chance constrained interval valued bilevel programming problems," OPSEARCH, Springer;Operational Research Society of India, vol. 53(2), pages 390-408, June.
  6. Savin Treanţă & Omar Mutab Alsalami, 2024. "On a Weighting Technique for Multiple Cost Optimization Problems with Interval Values," Mathematics, MDPI, vol. 12(15), pages 1-10, July.
  7. 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.
  8. Zhang, Mei-Jing & Wang, Ying-Ming & Li, Ling-Hui & Chen, Sheng-Qun, 2017. "A general evidential reasoning algorithm for multi-attribute decision analysis under interval uncertainty," European Journal of Operational Research, Elsevier, vol. 257(3), pages 1005-1015.
  9. Liu, Yong-Jun & Zhang, Wei-Guo & Zhang, Pu, 2013. "A multi-period portfolio selection optimization model by using interval analysis," Economic Modelling, Elsevier, vol. 33(C), pages 113-119.
  10. 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).
  11. Zhou, Feng & Huang, Gordon H. & Chen, Guo-Xian & Guo, Huai-Cheng, 2009. "Enhanced-interval linear programming," European Journal of Operational Research, Elsevier, vol. 199(2), pages 323-333, December.
  12. Dey, Jayanta Kumar & Kar, Samarjit & Maiti, Manoranjan, 2005. "An interactive method for inventory control with fuzzy lead-time and dynamic demand," European Journal of Operational Research, Elsevier, vol. 167(2), pages 381-397, December.
  13. Tong Xin & Guolai Yang & Liqun Wang & Quanzhao Sun, 2020. "Numerical Calculation and Uncertain Optimization of Energy Conversion in Interior Ballistics Stage," Energies, MDPI, vol. 13(21), pages 1-21, November.
  14. Mrinal Jana & Geetanjali Panda, 2018. "$$\chi$$ χ -Optimal solution of single objective nonlinear optimization problem with uncertain parameters," OPSEARCH, Springer;Operational Research Society of India, vol. 55(1), pages 165-186, March.
  15. Yong-Jun Liu & Wei-Guo Zhang & Jun-Bo Wang, 2016. "Multi-period cardinality constrained portfolio selection models with interval coefficients," Annals of Operations Research, Springer, vol. 244(2), pages 545-569, September.
  16. Wang, Ying-Ming & Elhag, Taha M.S., 2007. "A goal programming method for obtaining interval weights from an interval comparison matrix," European Journal of Operational Research, Elsevier, vol. 177(1), pages 458-471, February.
  17. Wu, Hsien-Chung, 2007. "The Karush-Kuhn-Tucker optimality conditions in an optimization problem with interval-valued objective function," European Journal of Operational Research, Elsevier, vol. 176(1), pages 46-59, January.
  18. A. Bhurjee & G. Panda, 2012. "Efficient solution of interval optimization problem," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 76(3), pages 273-288, December.
  19. Shervin Zakeri & Dimitri Konstantas & Naoufel Cheikhrouhou, 2022. "The Grey Ten-Element Analysis Method: A Novel Strategic Analysis Tool," Mathematics, MDPI, vol. 10(5), pages 1-22, March.
  20. 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.
  21. Abhijit Baidya & Uttam Kumar Bera & Manoranjan Maiti, 2016. "The grey linear programming approach and its application to multi-objective multi-stage solid transportation problem," OPSEARCH, Springer;Operational Research Society of India, vol. 53(3), pages 500-522, September.
  22. Oliveira, Carla & Antunes, Carlos Henggeler, 2007. "Multiple objective linear programming models with interval coefficients - an illustrated overview," European Journal of Operational Research, Elsevier, vol. 181(3), pages 1434-1463, September.
  23. Yunchol Jong, 2012. "Optimization Method for Interval Portfolio Selection Based on Satisfaction Index of Interval inequality Relation," Papers 1207.1932, arXiv.org.
  24. Jianjian Wang & Feng He & Xin Shi, 2019. "Numerical solution of a general interval quadratic programming model for portfolio selection," PLOS ONE, Public Library of Science, vol. 14(3), pages 1-16, March.
  25. Shanker, Ravi & Vrat, Prem, 1998. "Post design modeling for cellular manufacturing system with cost uncertainty," International Journal of Production Economics, Elsevier, vol. 55(1), pages 97-109, June.
  26. Majumdar, J. & Bhunia, A.K., 2007. "Elitist genetic algorithm for assignment problem with imprecise goal," European Journal of Operational Research, Elsevier, vol. 177(2), pages 684-692, March.
  27. 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.
  28. Sevastjanov, P.V. & Róg, P., 2003. "Fuzzy modeling of manufacturing and logistic systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 63(6), pages 569-585.
  29. S. Rivaz & M. A. Yaghoobi & M. Hladík, 2016. "Using modified maximum regret for finding a necessarily efficient solution in an interval MOLP problem," Fuzzy Optimization and Decision Making, Springer, vol. 15(3), pages 237-253, September.
  30. Sengupta, Atanu & Pal, Tapan Kumar, 2000. "On comparing interval numbers," European Journal of Operational Research, Elsevier, vol. 127(1), pages 28-43, November.
  31. Sarat Sivaprasad & Cameron A. MacKenzie, 2018. "The Hurwicz Decision Rule’s Relationship to Decision Making with the Triangle and Beta Distributions and Exponential Utility," Decision Analysis, INFORMS, vol. 15(3), pages 139-153, September.
  32. 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.
  33. P. Kumar & A. K. Bhurjee, 2022. "Multi-objective enhanced interval optimization problem," Annals of Operations Research, Springer, vol. 311(2), pages 1035-1050, April.
  34. Qi Wang & Peipei Qi & Shipei Li, 2021. "A Concurrence Optimization Model for Low-Carbon Product Family Design and the Procurement Plan of Components under Uncertainty," Sustainability, MDPI, vol. 13(19), pages 1-22, September.
  35. P. Kumar & G. Panda, 2017. "Solving nonlinear interval optimization problem using stochastic programming technique," OPSEARCH, Springer;Operational Research Society of India, vol. 54(4), pages 752-765, December.
  36. Subhendu Ruidas & Mijanur Rahaman Seikh & Prasun Kumar Nayak, 2020. "An EPQ model with stock and selling price dependent demand and variable production rate in interval environment," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 11(2), pages 385-399, April.
  37. Luo, Chunling & Tan, Chin Hon & Liu, Xiao, 2020. "Maximum excess dominance: Identifying impractical solutions in linear problems with interval coefficients," European Journal of Operational Research, Elsevier, vol. 282(2), pages 660-676.
  38. Herrera, F. & Verdegay, J. L., 1995. "Three models of fuzzy integer linear programming," European Journal of Operational Research, Elsevier, vol. 83(3), pages 581-593, June.
  39. Xiaolu Zhang, 2016. "New Interval-Valued Intuitionistic Fuzzy Behavioral MADM Method and Its Application in the Selection of Photovoltaic Cells," Energies, MDPI, vol. 9(10), pages 1-20, October.
  40. P. Kumar & Jyotirmayee Behera & A. K. Bhurjee, 2022. "Solving mean-VaR portfolio selection model with interval-typed random parameter using interval analysis," OPSEARCH, Springer;Operational Research Society of India, vol. 59(1), pages 41-77, March.
  41. 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.
  42. Huang, Guo H. & Baetz, Brian W. & Patry, Gilles G., 1995. "Grey integer programming: An application to waste management planning under uncertainty," European Journal of Operational Research, Elsevier, vol. 83(3), pages 594-620, June.
  43. Das, S. K. & Goswami, A. & Alam, S. S., 1999. "Multiobjective transportation problem with interval cost, source and destination parameters," European Journal of Operational Research, Elsevier, vol. 117(1), pages 100-112, August.
  44. Wei Wang & Yaofeng Xu & Liguo Hou, 2019. "Optimal allocation of test times for reliability growth testing with interval-valued model parameters," Journal of Risk and Reliability, , vol. 233(5), pages 791-802, October.
  45. 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.
  46. Namrata Rani & Vandana Goyal & Deepak Gupta, 2022. "FGP approach and Rouben ranking function to bi-level multi-objective quadratic fractional problem with trapezoidal fuzzy numbers and soft fuzzy constraints," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 13(1), pages 113-122, February.
  47. Fang-Xuan Hong & Deng-Feng Li, 2017. "Nonlinear programming method for interval-valued n-person cooperative games," Operational Research, Springer, vol. 17(2), pages 479-497, July.
  48. Xiaobin Yang & Haitao Lin & Gang Xiao & Huanbin Xue & Xiaopeng Yang, 2019. "Resolution of Max-Product Fuzzy Relation Equation with Interval-Valued Parameter," Complexity, Hindawi, vol. 2019, pages 1-16, February.
  49. Inuiguchi, Masahiro & Sakawa, Masatoshi, 1995. "Minimax regret solution to linear programming problems with an interval objective function," European Journal of Operational Research, Elsevier, vol. 86(3), pages 526-536, November.
  50. Chakrabortty, Susovan & Pal, Madhumangal & Nayak, Prasun Kumar, 2013. "Intuitionistic fuzzy optimization technique for Pareto optimal solution of manufacturing inventory models with shortages," European Journal of Operational Research, Elsevier, vol. 228(2), pages 381-387.
  51. Debdas Ghosh, 2016. "A Newton method for capturing efficient solutions of interval optimization problems," OPSEARCH, Springer;Operational Research Society of India, vol. 53(3), pages 648-665, September.
  52. Jiang, C. & Han, X. & Liu, G.R. & Liu, G.P., 2008. "A nonlinear interval number programming method for uncertain optimization problems," European Journal of Operational Research, Elsevier, vol. 188(1), pages 1-13, July.
  53. 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.
  54. David Rosenberg & Jay Lund, 2009. "Modeling Integrated Decisions for a Municipal Water System with Recourse and Uncertainties: Amman, Jordan," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(1), pages 85-115, January.
  55. 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.
  56. 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.
  57. Xu, Zeshui & Chen, Jian, 2008. "Some models for deriving the priority weights from interval fuzzy preference relations," European Journal of Operational Research, Elsevier, vol. 184(1), pages 266-280, January.
  58. Chanas, Stefan & Kuchta, Dorota, 1996. "Multiobjective programming in optimization of interval objective functions -- A generalized approach," European Journal of Operational Research, Elsevier, vol. 94(3), pages 594-598, November.
  59. Jiu-Ying Dong & Shu-Ping Wan, 2016. "Virtual enterprise partner selection integrating LINMAP and TOPSIS," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(10), pages 1288-1308, October.
  60. Rong, M. & Mahapatra, N.K. & Maiti, M., 2008. "A two warehouse inventory model for a deteriorating item with partially/fully backlogged shortage and fuzzy lead time," European Journal of Operational Research, Elsevier, vol. 189(1), pages 59-75, August.
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