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921.
定义区间值模糊集之间的一种新距离d*∞,讨论了这种距离的基本性质,并证明区间值模糊数的距离空间(IΦ*(R),d*∞)是完备的,但它却是不可分的。 相似文献
922.
923.
924.
对完备格引入半素极小集的概念,证明完备格L为半连续格当且仅当L中的每个元在L中存在半素极小集,给出半连续格的两个序同态扩张定理. 相似文献
925.
提出了知识的Rough熵与Fuzzy熵的概念,综合度量了知识的粗糙性和二元关系的不确定性,讨论了它的性质,给出了若干定理,并应用于目标信息系统的相对约简,得到最小约简,最后举例说明相对约简过程。 相似文献
926.
研究L-预拓扑空间中L-开集的一些近似形式(其中L是有逆合对应的C-格):θ-L-开集,δ-L-开集,α-L-开集以及β-L-开集。证明了(1)当L的最大元1是并既约元时L-预拓扑空间的连通性、θ-连通性、δ-连通性和α-连通性是等价的;(2)θLTop是LTopsθ、LTop以及LTopθ的反射满子范畴,δLTop是LTopsδ和LTopδ的反射满子范畴;(3)当格L为幂集格时αLTop是LTopsα和LTopα的余反射满子范畴;θLPTop是LPTopsθ、LPTop以及LPTopθ的反射满子范畴,δLPTop是LPTopsδ和LPTopδ的反射满子范畴。 相似文献
927.
《Optimization》2012,61(2-3):161-178
We consider a linear semi-infinite programming problem where the index set of the constraints is compact and the constraint functions are continuous on it. The set of all continuous functions on this index set as right hand sides are the parameter set. We investigate how large various unicity sets are.We state a condition on the objective function vector and the “matrix” of the problem which characterizes when the set of a parameters with a non-unique optimal point is a set of the first Baire category in the solvability set. This is the case if and only if the unicity set is a dense subset of the solvability set. Under the same assumptions it is even true that the interior of the strong unicity set is I also dense. If the index set of the constraints contains a dense subset with the property that each point1 is a G 8-set, then the parameters of the strong unicity set, such that the optimal point satisfies the linear independence constraint qualification, are also dense. We apply our results to a characterization of a unique continuous selection for the optimal set I mapping and to a one-sided L 1-approximation problem 相似文献
928.
《Optimization》2012,61(1-4):107-115
In the paper, a new algorithm for finding the absolute center of the graph is proposed. Later on problem of the absolute balance point of the graph is investigated the objective function of which is defined as the difference in the distance from the located facility to the farthest and the nearest demand point. An algorithm for finding it is presented By following the balance criterion it may happen, that the balance point is located too far from the demand points. Conversely, if we are interested not only in the distance to the farthest demand point, but (what is more realistic) also in the structure of the distances, a criterion of balance is appropriate. Consequently, we investigate the center balance constrained model that simultaneously used center and balance criteria. By considering the center and the balance objective in a multiobjective framework, efficient solutions are generated by minimizing former objective such that latter satisfies an upperbound 相似文献
929.
《Optimization》2012,61(1-4):197-222
In this paper, we introduce and study some new classes of variational inequalities and the Wiener – Hopf Equations. These classes are more general and unifying ones. Using essentially the projection technique, we establish equivalence between these new classes. This equivalence is used to suggest and analyze some new iterative algorithms for solving the generalized quasi variational inequalities. We also study the convergence analysis for these iterative algorithms. Some special cases are also discussed 相似文献
930.