This site is dedicated to providing a list of scientific publications that deal with variable domination structures in vector and set optimization. The list will be continuously updated. The authors of this bibliography are grateful for any corrections, additions or comments. They can be contacted via email: variable_domination@math.ntnu.no.

1. Qamrul Hasan Ansari and Elisabeth Köbis and Jen-Chih Yao: Vector Variational Inequalities and Vector Optimization. (2018), link

2. Qamrul Hasan Ansari and Siegfried Schaible and Jen-Chih Yao: The system of generalized vector equilibrium problems with applications. Journal of Global Optimization, (2002), link

3. Qamrul Hasan Ansari and Elisabeth Köbis and Pradeep Kumar Sharma: Characterizations of set relations with respect to variable domination structures via oriented distance function. Optimization, (2018), link

4. T. Q. Bao and G. Eichfelder and B. Soleimani and Chr. Tammer: Ekeland's variational principle for vector optimization with variable ordering structure. Journal of Convex Analysis, (2017), link

5. Truong Q. Bao and Niklas Hebestreit and Christiane Tammer: Generalized Solutions of Quasi-Variational-Like Problems. Vietnam Journal of Mathematics, (2020), link

6. T. Q. Bao, T.T. Le, Chr. Tammer, V.A. Tuan: Duality in vector optimization with domination structures. Applied Set-Valued Analysis and Optimization, (2019), link

7. Truong Q. Bao and Boris S. Mordukhovich: Set-valued optimization in welfare economics. (2010), link

8. Truong Q. Bao and Boris S. Mordukhovich: Necessary Nondomination Conditions in Set and Vector Optimization with Variable Ordering Structures. Journal of Optimization Theory and Applications, (2014), link

9. T. Q. Bao and B. S. Mordukhovich and A. Soubeyran: Variational Analysis in Psychological Modeling. Journal of Optimization Theory and Applications, (2015), link

10. T. Q. Bao and B. S. Mordukhovich and A. Soubeyran: Minimal points, variational principles, and variable preferences in set optimization. J. Nonlin. Convex Anal., (2015), link

11. T. Q. Bao and B. S. Mordukhovich and A. Soubeyran: Fixed Points and Variational Principles with Applications to Capability Theory of Wellbeing via Variational Rationality. Set-Valued and Variational Analysis, (2015), link

12. Truong Q. Bao and Boris S. Mordukhovich and Antoine Soubeyran and Christiane Tammer: Vector Optimization with Domination Structures: Variational Principles and Applications. Set-Valued and Variational Analysis, (2022), link

13. E. E. A. Batista and G. C. Bento and O. P. Ferreira: An Existence Result for the Generalized Vector Equilibrium Problem on Hadamard Manifolds. Journal of Optimization Theory and Applications, (2015), link

14. J. Y. Bello-Cruz and G. Bouza-Allende: On inexact projected gradient methods for solving variable vector optimization problems. Optimization and Engineering, (2020), link

15. J. Y. Bello-Cruz and G. Bouza Allende: A Steepest Descent-Like Method for Variable Order Vector Optimization Problems. Journal of Optimization Theory and Applications, (2014), link

16. J.Y. Bello-Cruz and G. Bouza Allende and L.R. Lucambio Pérez: Subgradient algorithms for solving variable inequalities. Applied Mathematics and Computation, (2014), link

17. K. Bergstresser and A. Charnes and P. L. Yu: Generalization of domination structures and nondominated solutions in multicriteria decision making. Journal of Optimization Theory and Applications, (1976), link

18. G. Bouza-Allende, D. Hernández Escobar, Jan J Rückmann: Generation Of K-Convex Test Problems In Variable Ordering Settings. Investigación Operacional, (2018), link

19. G. Bouza and Chr. Tammer: Nonlinear scalarizing functions for computing minimal points under variable ordering structures. Appl. Anal. Optim., (2017), link

20. Glaydston de Carvalho Bento and Gemayqzel Bouza Allende and Yuri Rafael Leite Pereira: A Newton-Like Method for Variable Order Vector Optimization Problems. Journal of Optimization Theory and Applications, (2018), link

21. Lu-Chuan Ceng and Shuechin Huang: Existence theorems for generalized vector variational inequalities with a variable ordering relation. Journal of Global Optimization, (2010), link

22. G. Y. Chen: Existence of solutions for a vector variational inequality: An extension of the Hartmann-Stampacchia theorem. Journal of Optimization Theory and Applications, (1992), link

23. G. Y. Chen and X. Huang and X. Q. Yang: Vector Optimization. (2005), link

24. G. Y. Chen and X. Q. Yang: Characterizations of Variable Domination Structures via Nonlinear Scalarization. Journal of Optimization Theory and Applications, (2002), link

25. G. Y. Chen and X. Q. Yang and H. Yu: A Nonlinear Scalarization Function and Generalized Quasi-vector Equilibrium Problems. Journal of Global Optimization, (2005), link

26. A. R. Doagooei and T. T. Le and Chr. Tammer: Convexity in the framework of variable domination structures and applications in optimization. J. Nonlinear Convex Anal., (2019), link

27. Marius Durea and Radu Strugariu and Christiane Tammer: On set-valued optimization problems with variable ordering structure. Journal of Global Optimization, (2015), link

28. M. Durea and E.-A. Florea and R. Strugariu: Efficiencies and Optimality Conditions in Vector Optimization with Variable Ordering Structures. (2019), link

29. Gabriele Eichfelder: Optimal Elements in Vector Optimization with a Variable Ordering Structure. Journal of Optimization Theory and Applications, (2011), link

30. G. Eichfelder: Variable Ordering Structures in Vector Optimization. (2011)

31. Gabriele Eichfelder: Variable Ordering Structures in Vector Optimization. (2012), link

32. Gabriele Eichfelder: Cone-valued maps in optimization. Applicable Analysis, (2012), link

33. Gabriele Eichfelder: Variable Ordering Structures in Vector Optimization. (2014), link

34. Gabriele Eichfelder: Numerical Procedures in Multiobjective Optimization with Variable Ordering Structures. Journal of Optimization Theory and Applications, (2014), link

35. Gabriele Eichfelder: Vector Optimization in Medical Engineering. (2014), link

36. Gabriele Eichfelder and Tobias Gerlach: Characterization of properly optimal elements with variable ordering structures. Optimization, (2016), link

37. Gabriele Eichfelder and Truong Xuan Duc Ha: Optimality conditions for vector optimization problems with variable ordering structures. Optimization, (2013), link

38. Gabriele Eichfelder and Refail Kasimbeyli: Properly optimal elements in vector optimization with variable ordering structures. Journal of Global Optimization, (2014), link

39. Gabriele Eichfelder and Maria Pilecka: Set Approach for Set Optimization with Variable Ordering Structures Part I: Set Relations and Relationship to Vector Approach. Journal of Optimization Theory and Applications, (2016), link

40. Gabriele Eichfelder and Maria Pilecka: Set Approach for Set Optimization with Variable Ordering Structures Part II: Scalarization Approaches. Journal of Optimization Theory and Applications, (2016), link

41. Gabriele Eichfelder and Maria Pilecka: Ordering Structures and Their Applications. (2018), link

42. R. Elster and N. Hebestreit and A.A. Khan and Chr. Tammer: Inverse generalized vector variational inequalities with respect to variable domination structures and applications to vector approximation problems. Appl. Anal. Optim., (2018), link

43. Alexander Engau: Variable preference modeling with ideal-symmetric convex cones. Journal of Global Optimization, (2008), link

44. Ali Farajzadeh and Byung Soo Lee and Somyot Plubteing: On Generalized Quasi-Vector Equilibrium Problems via Scalarization Method. Journal of Optimization Theory and Applications, (2016), link

45. Elena-Andreea Florea: Coderivative necessary optimality conditions for sharp and robust efficiencies in vector optimization with variable ordering structure. Optimization, (2016), link

46. Junyi Fu and Sanhua Wang: Generalized strong vector quasi-equilibrium problem with domination structure. Journal of Global Optimization, (2013), link

47. Hebestreit, Niklas: Existence results for vector quasi-variational problems. (2020), link

48. Christian Hirsch and Pradyumn Kumar Shukla and Hartmut Schmeck: Variable Preference Modeling Using Multi-Objective Evolutionary Algorithms. (2011), link

49. Shasha Hu and Yihong Xu and Yuhan Zhang: Second-Order characterizations for set-valued equilibrium problems with variable ordering structures. Journal of Industrial & Management Optimization, (2022), link

50. N.J. Huang and X.Q. Yang and W.K. Chan: Vector complementarity problems with a variable ordering relation. European Journal of Operational Research, (2007), link

51. N. V. Hung and E. K\"obis and V. M. Tam: Existence Conditions for Set-Valued Vector Quasi-Equilibrium Problems on Hadamard Manifolds with Variable Domination Structure and Applications. J. Nonlinear Convex Anal., (2019), link

52. Brian J. Hunt and Margaret M. Wiecek and Colleen S. Hughes: Relative importance of criteria in multiobjective programming: A cone-based approach. European Journal of Operational Research, (2010), link

53. Reinhard John: The concave nontransitive consumer. Journal of Global Optimization, (2001), link

54. Reinhard John: Local and Global Consumer Preferences. (2006), link

55. Esra Köktener Karasakal and Wojtek Michalowski: Incorporating wealth information into a multiple criteria decision making model. European Journal of Operational Research, (2003), link

56. Akhtar A. Khan and Christiane Tammer and Constantin Zălinescu: Set-valued Optimization -- An Introduction with Applications. (2015), link

57. Elisabeth Köbis: Set optimization by means of variable order relations. Optimization, (2017), link

58. Elisabeth Köbis: Variable Ordering Structures in Set Optimization. J. Nonlinear Convex Anal., (2017), link

59. E. Köbis: Approaches to Set Optimization without Convexity Assumptions. (2020), link

60. Elisabeth Köbis and Thanh Tam Le and Christiane Tammer: A Generalized Scalarization Method in Set Optimization with Respect to Variable Domination Structures. Vietnam Journal of Mathematics, (2018), link

61. Elisabeth Köbis and Than Tam Le and Christiane Tammer and Jen-Chih Yao: A New Scalarizing Functional in Set Optimization with Respect to Variable Domination Structures. Appl. Anal. Optim., (2017), link

62. Elisabeth Köbis and Than Tam Le and Christiane Tammer and Jen-Chih Yao: Necessary Conditions for Solutions of Set Optimization Problems with Respect to Variable Domination Structures. J. Pure Appl. Funct. Anal., (2019), link

63. Elisabeth Köbis and Christiane Tammer: Robust Vector Optimization with a Variable Domination Structure. Carpathian J. Math., (2017), link

64. Than Tam Le: Multiobjective approaches based on variable ordering structures for intensity problems in radiotherapy treatment. Revista Investigación Operacional, (2018), link

65. Than Tam Le: Set optimization with respect to variable domination structures. (2018), link

66. S. J. Li and K. L. Teo and X. Q. Yang and S. Y. Wu: Gap Functions and Existence of Solutions to Generalized Vector Quasi-Equilibrium Problems. Journal of Global Optimization, (2006), link

67. Jing-Nan Li and San-Hua Wang and Yu-Ping Xu: Set-Valued Symmetric Generalized Strong Vector Quasi-Equilibrium Problems with Variable Ordering Structures. Mathematics, (2020), link

68. Dinh The Luc and Antoine Soubeyran: Variable preference relations: Existence of maximal elements. Journal of Mathematical Economics, (2013), link

69. Jia-Yu Mao and San-Hua Wang and Jin-Xia Huang: Generalized strong vector quasi-equilibrium problems with variable ordering structure. Journal of Inequalities and Applications, (2019), link

70. G. Mastroeni: On the image space analysis for vector quasi-equilibrium problems with a variable ordering relation. Journal of Global Optimization, (2012), link

71. W\lodzimierz Ogryczak: Inequality measures and equitable approaches to location problems. European Journal of Operational Research, (2000), link

72. W\lodzimierz Ogryczak: Inequality measures and equitable locations. Annals of Operations Research, (2009), link

73. P. H. Sach and L. J. Lin and L. A. Tuan: Generalized Vector Quasivariational Inclusion Problems with Moving Cones. Journal of Optimization Theory and Applications, (2010), link

74. Y. Sawaragi, H. Nakayama, T. Tanino: Theory of Multiobjective Optimization. (1985), link

75. Shokouh Shahbeyk and Majid Soleimani-damaneh and Refail Kasimbeyli: Hartley properly and super nondominated solutions in vector optimization with a variable ordering structure. Journal of Global Optimization, (2018), link

76. Pradyumn Kumar Shukla and Marlon Alexander Braun: Indicator Based Search in Variable Orderings: Theory and Algorithms. (2013), link

77. Behnam Soleimani: Characterization of Approximate Solutions of Vector Optimization Problems with a Variable Order Structure. Journal of Optimization Theory and Applications, (2014), link

78. Soleimani, Behnam: Vector optimization problems with variable ordering structures. (2015), link

79. B. Soleimani and Chr. Tammer: Scalarization of approximate solutions of vector optimization problems with variable order structure based on nonlinear scalarization. (2013), link

80. Behnam Soleimani and Christiane Tammer: Concepts for Approximate Solutions of Vector Optimization Problems with Variable Order Structures. Vietnam Journal of Mathematics, (2014), link

81. ‎B. Soleimani and Chr. Tammer: Optimality conditions for approximate solutions of vector optimization problems with variable ordering structures. Bulletin of the Iranian Mathematical Society, (2016), link

82. B. Soleimani and Chr. Tammer: A Vector-Valued Ekeland's Variational Principle in Vector Optimization with Variable Ordering Structures. (2016), link

83. A. Soubeyran: Variational rationality, a theory of individual stability and change: worthwhile and ambidextry behaviors. (2009), link

84. A. Soubeyran: Variational rationality and the unsatisfied man: routines and the course pursuit between aspirations, capabilities and beliefs. (2010), link

85. A. Soubeyran: Variational rationality: the resolution of goal conflicts via stop and go approach-avoidance dynamics. (2021), link

86. A. Soubeyran: Variational rationality: towards a grand theory of motivation driven by worthwhile moves. (2021), link

87. A. Soubeyran: Variational rationality: the concepts of motivation and motivational force. (2021), link

88. Christiane Tammer and Petra Weidner: Scalarization and Separation by Translation Invariant Functions with Applications in Optimization, Nonlinear Functional Analysis, and Mathematical Economics. (2020), link

89. M. Wacker: Multikriterielle Optimierung bei Registrierung medizinischer Daten. (2008)

90. Matthias Wacker and Frank Deinzer: Automatic Robust Medical Image Registration Using a New Democratic Vector Optimization Approach with Multiple Measures. (2009), link

91. S. H. Wang and N. J. Huang and D. O'Regan: Generalized quasivariational inclusion problems with applications. J. Nonlinear Convex Anal., (2014), link

92. San-hua Wang and Jin-xia Huang and Chuan-xi Zhu: An iterative method for solving the strong vector equilibrium problem with variable domination structure. Optimization, (2018), link

93. Margaret M. Wiecek: Advances in Cone-Based Preference Modeling for Decision Making with Multiple Criteria. Decision Making in Manufacturing and Services, (2007), link

94. P. L. Yu: A Class of Solutions for Group Decision Problems. Management Science, (1973), link

95. P. L. Yu: Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives. Journal of Optimization Theory and Applications, (1974), link

96. Po-Lung Yu: Multiple-Criteria Decision Making. (1985), link

97. B. Zargini and A. R. Doagooei: Multi-Objective Location Problems with Variable Domination Structure. Revista Investigaci\'on Operacional, (2018), link

98. B. Zargini: Multicriteria decision making problems using variable weights of criteria based on alternative preferences. American Scientific Research Journal for Engineering, Technology, and Sciences, (2020), link

99. Bettina Zargini: Multi-Objective Decision Making Problems with Variable Domination Structure. Journal of the Operations Research Society of Japan, (2022), link

100. Bettina Zargini: Solution concepts in multi-objective location problems with variable domination structure. European Journal of Applied Sciences, (2021), link

101. Bettina Zargini: Multiobjective Location Problems with Variable Domination Structures and an Application to Select a New Hub Airport. Logistics, (2022), link

102. B. Zargini: Multi-Objective Location Problems with Variable Domination Structure. (2022)

103. Johannes Jahn and Akthar A. Khan: Optimality conditions in nonlinear vector optimization with variable ordering structures. Pure and Applied Functional Analysis, (2021), link

104. Johannes Jahn: General theorems of the alternative in variable ordering structures. Journal of Nonlinear and Variational Analysis, (2021), link

105. Truong Q. Bao: Extremal Systems for Sets and Multifunctions in Multiobjective Optimization with Variable Ordering Structures. Vietnam Journal of Mathematics, (2014), link

106. Le Anh Tuan and Gue Myung Lee and Pham Huu Sach: Upper semicontinuity result for the solution mapping of a mixed parametric generalized vector quasiequilibrium problem with moving cones. Journal of Global Optimization, (2009), link

107. Debdas Ghosh and Amit Kumar Debnath and Witold Pedrycz: A variable and a fixed ordering of intervals and their application in optimization with interval-valued functions. International Journal of Approximate Reasoning, (2020), link