共查询到20条相似文献,搜索用时 31 毫秒
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半模糊凸模糊映射 总被引:1,自引:1,他引:0
In this paper, a new class of fuzzy mappings called semistrictly convex fuzzy mappings is introduced and we present some properties of this kind of fuzzy mappings. In particular, we prove that a local minimum of a semistrictly convex fuzzy mapping is also a global minimum. We also discuss the relations among convexity, strict convexity and semistrict convexity of fuzzy mapping, and give several sufficient conditions for convexity and semistrict convexity. 相似文献
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闭模糊集构成凸模糊集的充要条件 总被引:4,自引:1,他引:3
本文通过引入弱拟凸模糊集的概念,针对欧几里空间上的闭模糊集,给出了它构成凸模糊集的一个充要条件,从而丰富了凸模糊集的理论及其应用。 相似文献
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本文在Goetschel和Voxman所建立的拓扑向量空间中引入了反模糊数的概念,并建立了反模糊数空间,讨论了有关的基本性质.在此基础上,引入了凸模糊映射的共轭映射的定义,并证明了凸模糊映射的共轭集合和共轭映射都是凸的. 相似文献
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模糊网络最大流算法研究 总被引:2,自引:0,他引:2
将模糊数差值B~-A~视为模糊方程X~+A~=B~的解,进而探讨了模糊方程的求解问题,并基于目的规划理论,给出了模糊方程的广义解定义.运用目的规划的单纯型方法,得到了模糊方程广义解的计算公式及模糊方程广义解的若干性质.由模糊方程的广义解引申出了模糊数差值的定义.运用该定义将传统的网络最大流算法推广到模糊环境.结果表明,模糊数差值定义,克服了基于扩展原理意义下的模糊运算所产生的各种问题,解决了这些传统理论方法的拓展问题. 相似文献
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将凸合成模糊对策的特征函数用三角模糊数的形式表示出来,并以三角模糊数表示局中人的参与度,从而建立了一个新的凸合成模糊合作对策的模型.在此模型的基础上,给出了凸合成模糊对策的三角核心和三角稳定集,并证明了上述解可由子对策的核心和稳定集表达出来. 相似文献
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模糊集的表现定理是模糊数学的最基本理论.在表现定理的基础上,对各种模糊量:包括凸模糊量、正规模糊量、正规凸模糊量、凸有界模糊量、模糊数、有限模糊数、对称模糊数的表现定理进行了深入的研究,从而建立了不同类型模糊量与普通集合之间的联系. 相似文献
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Panos M. Pardalos 《BIT Numerical Mathematics》1988,28(2):323-328
In this paper we consider an algorithm for a class of quadratic problems defined on a polytope which is described as the convex hull of a set of points. The algorithm is based on simplex partitions using convex underestimating functions. 相似文献
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Recently, the concept of classical bargaining set given by Aumann and Maschler in 1964 has been extended to fuzzy bargaining set. In this paper, we give a modification to correct some weakness of this extension. We also extend the concept of the Mas-Colell's bargaining set (the other major type of bargaining sets) to its corresponding fuzzy bargaining set. Our main effort is to prove existence theorems for these two types of fuzzy bargaining sets. We will also give necessary and sufficient conditions for these bargaining sets to coincide with the Aubin Core in a continuous superadditive cooperative fuzzy game which has a crisp maximal coalition of maximum excess at each payoff vector. We show that both Aumann-Maschler and Mas-Colell fuzzy bargaining sets of a continuous convex cooperative fuzzy game coincide with its Aubin core. 相似文献
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Henrik Schulz 《Discrete Applied Mathematics》2009,157(16):3485-3493
In this paper we introduce an algorithm for the creation of polyhedral approximations for certain kinds of digital objects in a three-dimensional space. The objects are sets of voxels represented as strongly connected subsets of an abstract cell complex. The proposed algorithm generates the convex hull of a given object and modifies the hull afterwards by recursive repetitions of generating convex hulls of subsets of the given voxel set or subsets of the background voxels. The result of this method is a polyhedron which separates object voxels from background voxels. The objects processed by this algorithm and also the background voxel components inside the convex hull of the objects are restricted to have genus 0. The second aim of this paper is to present some practical improvements to the discussed convex hull algorithm to reduce computation time. 相似文献
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针对模糊C均值算法用于图像分割时对初始值敏感、容易陷入局部极值的问题,提出基于混合单纯形算法的模糊均值图像分割算法.算法利用Nelder-Mead单纯形算法计算量小、搜索速度快和粒子群算法自适应能力强、具有较好的全局搜索能力的特点,将混合单纯形算法的结果作为模糊C均值算法的输入,并将其用于图像分割.实验结果表明:基于混合单纯形算法的模糊均值图像分割算法在改善图像分割质量的同时,提高了算法的运行速度. 相似文献
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关于模糊拓扑环的模糊度量化 总被引:2,自引:1,他引:1
本文引入了模糊拓扑环可广义模糊度量化 ,可模糊伪度量化及可模糊度量化三个概念 ;并分别得到了模糊拓扑环可广义模糊度量化 ,可模糊伪度量化及可模糊度量化的三个充分必要条件 相似文献
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在具有联盟结构的合作对策中,针对局中人以某种程度参与到合作中的情况,研究了模糊联盟结构的合作对策的收益分配问题。首先,定义了具有模糊联盟结构的合作对策及相关概念。其次,定义了Choquet积分形式的模糊联盟核心,提出了该核心与联盟核心之间的关系,对于强凸联盟对策,证明Choquet积分形式的模糊Owen值属于其所对应的模糊联盟核心。最后通过算例,对该分配模型的可行性进行分析。 相似文献
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王磊 《数学的实践与认识》2012,42(10):168-173
研究了n阶线性模糊微分方程的模糊初值问题,将n阶线性模糊微分方程转化成一阶线性模糊微分方程组,利用结构元方法将模糊线性微分方程组转化成两个分明的线性微分方程组,通过分明的线性微分方程组的解构造出原n阶线性模糊微分方程的解.最后,给出了具体的算例. 相似文献
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