共查询到19条相似文献,搜索用时 109 毫秒
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研究模糊关系与传递性有关的指标,这些指标包括T-传递指标、S-负传递指标、T-S-半传递指标、T-S-Ferrers关系指标等,详细讨论了它们之间的关系,从而推广了Fodor和王有关传递性性质之间的相关结果. 相似文献
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模糊关系性质的模糊T-近似算子刻画 总被引:1,自引:1,他引:0
在定义一般模糊关系下的模糊T-近似的基础上,用模糊T-近似算子来刻画模糊关系的自反性、对称性、T-传递性等性质,并讨论了模糊T-粗糙集的一些性质。 相似文献
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T-拟传递合理性对模糊选择函数的研究至关重要.基于选择集为正规模糊选择集,对任意的t-模,利用文献中已有的结论,深入研究了模糊选择函数T-拟传递合理性的刻画问题,得到了模糊选择函数T-拟传递合理性的充要条件. 相似文献
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王军秀 《纯粹数学与应用数学》2003,(4)
给定一个包含0的有限正整数集T,一个简单图G的一个T-染色是定义在G的顶点集V(G)上的一个非负函数f,满足对任意的uv∈E(G)有|f(u)-f(v)| T.一个T-染色f的边柞(edgespan)定义为最大的|f(x)-f(y)|,xy∈E(G),一个图G的边柞(edgespan)是G的所有T-染色中最小的边柞(edgespan).这篇文章研究了当T={0,1,2,…,k-1}时,Gdn图的T-边柞(edgespan),找到了当n≡1(modd)时Gdn图的T-边柞(edgespan)的确切值,和其他情况下的上下界. 相似文献
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本文研究了Morita Context环C的T-幂零性、T-幂等性、T-稳定性和周期性、弱周期性、广义周期性、拟周期性.利用经典环论方法,获得了C的上述性质与C中A, B, V, W的性质之间的关系. 相似文献
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王军秀 《纯粹数学与应用数学》2003,19(4):361-364
给定一个包含0的有限正整数集T,一个简单图G的一个T-染色是定义在G的顶点集V(G)上的一个非负函数f,满足对任意的uv∈E(G)有|f(u)-f(v)| T.一个T-染色f的边柞(edge span)定义为最大的|f(x)-f(y)|,xy∈E(G),一个图G的边柞(edge span)是G的所有T-染色中最小的边柞(edge span).这篇文章研究了当T={0,1,2,…,k-1}时,Gdn图的T-边柞(edge span),找到了当n≡1(mod d)时Gdn图的T-边柞(edge span)的确切值,和其他情况下的上下界. 相似文献
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An minimization problem with a linear objective function subject to fuzzy relation equations using max-product composition has been considered by Loetamonphong and Fang. They first reduced the problem by exploring the special structure of the problem and then proposed a branch-and-bound method to solve this 0-1 integer programming problem. In this paper, we provide a necessary condition for an optimal solution of the minimization problems in terms of one maximum solution derived from the fuzzy relation equations. This necessary condition enables us to derive efficient procedures for solving such optimization problems. Numerical examples are provided to illustrate our procedures. 相似文献
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The fuzzy relation programming problem is a minimization problem with a linear objective function subject to fuzzy relation equations using certain algebraic compositions. Previously, Guu and Wu considered a fuzzy relation programming problem with max-product composition and provided a necessary condition for an optimal solution in terms of the maximum solution derived from the fuzzy relation equations. To be more precise, for an optimal solution, each of its components is either 0 or the corresponding component's value of the maximum solution. In this paper, we extend this useful property for fuzzy relation programming problem with max-strict-t-norm composition and present it as a supplemental note of our previous work. 相似文献
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We propose an approach to solve a nonlinear multi-objective problem subject to fuzzy relation inequalities with max-Archimedean-t-norm composition by a genetic algorithm. The additive generator of Archimedean t-norms is utilized to reform the existent genetic algorithm to solve the constrained nonlinear multi-objective optimization problems. We consider thoroughly the feasible set of the fuzzy relation inequality systems in three possible cases, namely “≤”, “≥” and the combination of them. In general, their feasible sets are nonconvex which are completely determined by one vector as their maximum solution and a finite number of minimal solutions. The maximum and minimal solutions are formulated by using the additive generator. Additionally, we present some conditions for each case under which the problem can be reduced. Finally, each reduced problem is solved by the genetic algorithm and the efficiency of the proposed method is shown by some numerical examples. 相似文献
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利用k阶二元关系定义直觉模糊粗糙集,讨论了分别为串行、自反、对称、传递关系时所对应的上、下近似算子的性质。在有限论域U中,研究了任一自反二元关系所诱导的直觉模糊拓扑空间中直觉模糊闭包、内部算子与相对应的上、下近似算子的关系。 相似文献
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In this paper, we extend the eigenvector method (EM) to priority for an incomplete fuzzy preference relation. We give a reasonable definition of multiplicative consistency for an incomplete fuzzy preference relation. We also give an approach to judge whether an incomplete fuzzy relation is acceptable or not. We develop the acceptable consistency ratio for an incomplete multiplicative fuzzy preference relation, which is simple and similar to Saaty’s consistency ratio (CR) for the multiplicative preference relation. If the incomplete fuzzy preference relation is not of acceptable consistency, we define a criterion to find the unusual and false element (UFE) in the preference relation, and present an algorithm to repair an inconsistent fuzzy preference relation until its consistency is satisfied with the consistency ratio. As a result, our improvement method cannot only satisfy the consistency requirement, but also preserve the initial preference information as much as possible. Finally, an example is illustrated to show that our method is simple, efficiency, and can be performed on computer easily. 相似文献
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A method is presented for characterizing the family of overall systems reconstructable from a given possibilistic structure system. The technique is elaborated in terms of fuzzy relation equations.It is demonstrated that the reconstruction family of a given structure system is equivalent to the set of solutions of a special type of fuzzy relation equation. The solution set is partially ordered, and contains both minimal solutions and a unique maximum solution. When these elements are identified, all members of the reconstruction family are determined.Another characteristic of the reconstruction family is its reconstruction uncertainty, a measure of which is also developed in this paper. This measure is used to define an identifiability quotient that expresses the degree of confidence with which we may identify a single overall system given a particular structure system. 相似文献