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广义凸模糊映射的若干等价条件
  • ISSN号：1672-6693
  • 期刊名称：《重庆师范大学学报：自然科学版》
  • 时间：0
  • 分类：O224[理学—运筹学与控制论;理学—数学]
  • 作者机构：[1]重庆师范大学数学学院,重庆401331
  • 相关基金：国家自然科学基金（No.11171363;No.11001289）
作者： 刘学文[1], 张成[1], 何豆[1]
关键词： 伪凸模糊映射, 严格伪凸模糊映射, 拟凸模糊映射, pseudoconvex fuzzy mappings, strictly pseudoconvex fuzzy mappings, quasiconvex fuzzy mappings
中文摘要：

在本文中,证明了F是（严格）伪凸模糊映射当且仅当▽F是（严格）伪单调的,F是拟凸模糊映射当且仅当▽F是拟单调的等几个广义凸模糊映射的等价条件。在模糊数学规划中,这些结果在检验模糊映射的广义凸性以及刻画其解集时,将会产生非常重要的作用。

英文摘要：

In this paper, we obtain that a fuzzy mapping F is （strictly） pseudoconvex if and only if VF is （strictly） pseudo- monotone, and a differenitiable fuzzy mapping F is quasiconvex if and only if VF is quasimonotone. These results will be useful in checking the generalized convexity of the differenitiable fuzzy mapping and presenting some characterizations of solutions for fuzzy mathematical programming.

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期刊信息
  • 《重庆师范大学学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:重庆市教育委员会
  • 主办单位:重庆师范大学
  • 主编：杨新民
  • 地址：重庆市沙坪坝区
  • 邮编：400047
  • 邮箱：cqnuj@cqnu.edu.cn
  • 电话：023-65362431
  • 国际标准刊号：ISSN：1672-6693
  • 国内统一刊号：ISSN：50-1165/N
  • 邮发代号:78-34
  • 获奖情况:
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  • 被引量:4584