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Optimality Condition and Mixed Duality for Interval-Valued Optimization

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Fuzzy Information and Engineering Volume 2

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 62))

Abstract

In this paper, the optimality sufficient condition and a mixed dual model for nonlinear interval-valued optimization problem (IVP) are established. The mixed dual model unifies the Mond-Weir dual model and Wolfe dual model for interval-valued optimization. Weak and strong duality theorems in (IVP) based on the formulation of the mixed primal and dual problems are given.

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Author information

Authors and Affiliations

  1. Dept. of Math., Linyi Teachers College, Linyi, 276005, China

    Hou-chun Zhou

  2. Inst. of Oper. Res., Qufu Normal University, Rizhao Shandong, 276800, China

    Yi-ju Wang

Authors
  1. Hou-chun Zhou
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  2. Yi-ju Wang
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Editor information

Editors and Affiliations

  1. Guangzhou University, China

    Bingyuan Cao

  2. Chongqing University of Science and Technology, Chongqing, PR China

    Tai-Fu Li

  3. Hainan Normal University, Hainan, PR China

    Cheng-Yi Zhang

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Zhou, Hc., Wang, Yj. (2009). Optimality Condition and Mixed Duality for Interval-Valued Optimization. In: Cao, B., Li, TF., Zhang, CY. (eds) Fuzzy Information and Engineering Volume 2. Advances in Intelligent and Soft Computing, vol 62. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03664-4_140

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  • DOI: https://doi.org/10.1007/978-3-642-03664-4_140

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-03663-7

  • Online ISBN: 978-3-642-03664-4

  • eBook Packages: EngineeringEngineering (R0)

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