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无限sup-product合成Fuzzy关系方程的解集 被引量：1

The Solution Set of Sup-product Fuzzy Relational Equations in Infinite Domains
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摘要 对无限论域sup-product合成Fuzzy关系方程的解的性质作了深入的讨论,仅从方程的系数出发给出了方程存在不可达解的充要条件.进一步,当解集非空时,完全地刻画了方程解集的结构. This paper deals with the solution set of sup-product fuzzy relational equations in infinite domains. Via the coefficients of an equation a sufficient and necessary condition for the existence of an unattainable solution is given. Further, when the solution set is nonempty, the structure of the solution set of the equation is completely discribed.
作者 夏嫦 蒲松
机构地区 仰恩大学数学系
出处 《四川师范大学学报（自然科学版）》 CAS CSCD 北大核心 2008年第5期541-545,共5页 Journal of Sichuan Normal University（Natural Science）
基金 国家自然科学基金(10671138) 四川省青年基金(05ZQ026-003)资助项目
关键词 FUZZY关系方程 可达解 不可达解 极小解 解集 Fuzzy relational equation Attainable solution Unattainable solution Minimal solution Solution set
分类号 O159 [理学—基础数学]
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参考文献22

二级参考文献43

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共引文献42

同被引文献14

  • 1Sanchez E. Resolution of composite fuzzy relation equation[ J ]. Info Control, 1976,30:38 -48.
  • 2Jun L L. On the relation between fuzzy max -Arehimedean t - norm relatinal equations and the covering problem[ J ]. Fuzzy Sets and Systems ,2009,160:2328 - 2344.
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  • 8Sb/eh B S. Solutions of fuzzy relation equations based on continuous t-nonns[J]. Info Soi,2007,177:4208 -4215.
  • 9Nola A D, Sessa S, Pedrycz W, et al. Fuzzy Relational Equations and Their Applications to Knowledge Engineering[ M]. Dordrecht: Kluwer, 1989.
  • 10Stamou G B, Tzafestas S G. Resolution of composite fuzzy relation equations based on Archimedean triangular norms[ J ]. Fuzzy Sets and Systems, 1979,120:395 - 407.

引证文献1

四川师范大学学报（自然科学版）
2008年 第5期

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