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完备Brouwerian格上@-Fuzzy关系方程有唯一解的判别法

The Determinant Method That @-Fuzzy Relational Equation on Complete Brouwerian Lattices Has a Unique Solution
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摘要 在完备Brouwerian格上讨论了@-Fuzzy(其中@表示inf-α合成)关系方程有唯一解的问题,首先定义了@-Fuzzy关系方程的特征矩阵,然后利用特征矩阵给出了方程有唯一解的判别法. In this paper we study the unique solution problem for the @-fuzzy relational equation on complete Brouwerian Lattices,where @ denotes inf-α composition. We firstly define a characteristic matrix of the @-fuzzy relational equation and then use it to give a criteria for the existence of the unique solution of the equation.
作者 夏嫦
机构地区 成都文理学院数学与统计学院
出处 《四川师范大学学报（自然科学版）》 CAS 北大核心 2017年第6期787-790,共4页 Journal of Sichuan Normal University（Natural Science）
基金 国家自然科学基金(61273242)
关键词 完备BROUWERIAN格 交既约元 @-Fuzzy关系方程 极大解 唯一解 complete Brouwerian lattices meet irreducible element @-fuzzy relational equation maximmal solution unique so-lution
分类号 O159 [理学—基础数学]
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  • 1Birkhoff G. Lattice Theory. 3th Ed., Vol.XXV, AMS Colloquium Publications, 1979.
  • 2Sanchez E. Resolution of composite fuzzy relation equations. Inform. and Control, 1976, 30: 38-48.
  • 3Szaz G. Introduction to Lattice Theory. 3rd Ed., New York: Academic Press, 1963.
  • 4Di Nola A, Sessa S, Pedrycz W and Sanchez E. Fuzzy Relation Equations and Their Applications to Knowledge Engineering. Dordrecht, Boston/London: Kluwer Academic Publishers, 1989.
  • 5Di Nola A, Sessa S, Pedrycz W, Higashi M. Minimal and maximal solutions of a decomposition problem of fuzzy relations. Int. J. General Systems, 1985, 11: 103-116.
  • 6Higashi M and George J K. Resolutions of finite fuzzy relation equations. Fuzzy Sets and Systems, 1984,13: 65-82.
  • 7Di Nola A. On solving relational equations in Brouwerian lattices. Fuzzy Sets and Systems, 1990, 34:365-376.
  • 8Wang Xueping. Method of solution to fuzzy relation equations in a complete Brouwerian lattice. Fuzzy Sets and Systems, to appear.
  • 9Birkhoff G. Lattice Theory. Revised Ed., Vol. XXV, AMS Colloquium Publications, 1984.
  • 10Crawley P and Dilworth R P. Algebraic Theory of Lattice. Englewood Cliffs, NJ: Prentice-Hall, 1973.

共引文献35

四川师范大学学报（自然科学版）
2017年 第6期

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