Second order symmetric duality for nonlinear multiobjective mixed integer programming |
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| Institution: | 1. Department of Mathematics, Statistics and Computer Science, College of Basic Sciences and Humanities, G.B. Pant University of Agriculture and Technology, Pantnagar 263 145, India;2. Institute of Systems Science, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100080, China;3. School of Business Administration, Hunan University, Changsa, China;1. Department of Mathematical Sciences, Indian Institute of Technology (Banaras Hindu University), Varanasi, 221005, India;2. Department of Mathematics, Amity School of Applied Sciences, Amity University, Gurugram, Haryana 122413, India;1. College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, China;2. Xinjiang Key Laboratory of Applied Mathematics, Urumqi 830017, China;3. School of Mathematics, Southeast University, Nanjing 210096, China;4. School of Mathematics and Statistics, Southwest University, Chongqing 400715, China |
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| Abstract: | We formulate two pairs of second order symmetric duality for nonlinear multiobjective mixed integer programs for arbitrary cones. By using the concepts of efficiency and second order invexity, we establish weak, strong, converse and self-duality theorems for the dual models. Several known results are obtained as special cases. |
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