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Generalized convex fuzzy mappings and fuzzy variational-like inequality

机译：广义凸模糊映射和模糊变分不等式

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摘要

In this paper, we introduce the concepts of some generalized convex fuzzy mappings from R~n to the set of fuzzy numbers. Under the condition of upper or lower semicontinuity, a new criterion be obtained for the existence of a fuzzy preinvex mapping: a fuzzy preinvex mapping can be achieved when the invex subset of R~n satisfies certain conditions. The relations between generalized convex fuzzy mappings are discussed, and some properties are obtained that relate the concepts of fuzzy pseudoinvex and fuzzy prequasiinvex mapping, fuzzy invex and fuzzy preinvex mapping, fuzzy preinvex and fuzzy prequasiinvex mapping. We also discuss the relationship between the fuzzy variational-like inequality (the fuzzy weak variational-like inequality) and fuzzy optimization problems, and an application example of a fuzzy variational-like inequality, the fuzzy variational-like inequality representation of a fuzzy transportation equilibrium problem.
机译：在本文中，我们介绍了从R〜n到模糊数集的一些广义凸模糊映射的概念。在上半连续性或下半连续性的条件下，为模糊预凸映射的存在获得了新的判据：当R〜n的凸子集满足一定条件时，就可以实现模糊预凸映射。讨论了广义凸模糊映射之间的关系，并获得了一些与模糊伪凸和模糊准凸映射，模糊凸和模糊预凸映射，模糊预凸和模糊准凸映射的概念有关的性质。我们还讨论了模糊变式不等式（模糊弱变式不等式）与模糊优化问题之间的关系，并给出了模糊变式不等式的应用实例，模糊运输平衡的模糊变式不等式表示。问题。

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  • 来源
    《Fuzzy sets and systems》 |2009年第11期|1590-1619|共30页
  • 作者

    Zezhong Wu; Jiuping Xu;

  • 作者单位

    Uncertainty Decision-Making Laboratory, School of Business and Administration, Sichuan University, Chengdu 610064, China Department of Computational Science, Chengdu University of Information Technology, Chengdu 610225, China;

    Uncertainty Decision-Making Laboratory, School of Business and Administration, Sichuan University, Chengdu 610064, China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    fuzzy mappings; upper semicontinuity; variational inequalities; fuzzy optimization;

    机译：模糊映射;上半连续性变分不等式;模糊优化;

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