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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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讨论了模糊映射的一致凸性及其有关性质,给出了模糊映射为一致凸的几个判别准则,并得到了可微一致凸模糊映射在某一点达到最小值的充分条件. 相似文献
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提出fuzzy映象序列的公共fuzzy混合不动点的概念,研究了g-非扩张型fuzzy映象序列的公共fuzzy混合不动点定理,我们所得的定理改进和推广了近期相关的重要结果. 相似文献
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Generalization of preinvex and B-vex fuzzy mappings 总被引:3,自引:0,他引:3
Yu-Ru Syau 《Fuzzy Sets and Systems》2001,120(3):533-542
A class of fuzzy mappings, called B-preinvex, and strictly B-preinvex fuzzy mappings, is introduced by relaxing the definition of preinvexity of a fuzzy mapping. Similarly, based on a notion of differentiability of fuzzy mappings different from the usual one, the class of pseudo-B-vex, B-invex, and pseudo-B-invex fuzzy mappings is defined as a generalization of pseudo-convex, invex, and pseudo-invex fuzzy mappings. We prove that a strictly B-vex, or B-preinvex fuzzy mapping has at most one global minimum point, and that the class of B-vex fuzzy mappings forms a subset of the class of quasi-convex fuzzy mappings. B-vex (resp. B-preinvex) fuzzy mappings satisfy most of the basic properties of convex (resp. preinvex) fuzzy mappings. In addition characterizations and sufficient optimality conditions are obtained for B-vex and B-preinvex fuzzy mappings. 相似文献
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模糊映象的完全广义变分包含 总被引:1,自引:0,他引:1
丁体明 《数学的实践与认识》2004,34(8):145-149
研究了一类新的关于模糊映射的完全广义变分包含问题 ,给出了解的逼近算法 ,证明了这类问题解的存在定理和序列收敛定理 ,推广了 N. J. Huang在文 [1 ]的主要结果 . 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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带有模糊集值映象的一般混合拟变分包含的扰动近似点算法 总被引:5,自引:0,他引:5
本文引入一类新的带有模糊集值映象的一般混合拟变分包.在Hilbert空间中,利用极大η-单调映象的预解算子技巧,建立了这类变分包与不动点的等价性.利用这种等价性,构造了一些新的扰动近似点算法,并证明了由此算法所产生的迭代序列的收敛性.这些定理改进,统一和推广了近期文献中许多重要结果. 相似文献
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本文通过对模糊逼近集与模糊逼近泛函映射的建立和研究,为时间序列预测工作开辟新的途径,建立新的方法· 相似文献
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在模糊软集合的基础上,提出了模糊软关系和模糊软映射的定义,并研究了它们的性质,最后给出了模糊软映射在医疗诊断中的应用实例. 相似文献
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In this paper, we introduce the bilevel decision problems with parametric generalized semi-infinite optimization for fuzzy mappings as the lower-level problem, and its corresponding MPEC problems. For these problems, we establish two models which are different in the feasible region setting of lower-level problems. Some new existence results are obtained in rather weak conditions. 相似文献
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Asweknow,therelations,mappingandcardinalnumbersareimportantconceptsinthesettheory.Buttheyhavenotbeensufficientlyresearched,especiallythemappingsoffuzzysets.LiHongxingetc[1]-[3]definedthefuzzyrelationbetweentwofuzzysetsfirst,basedonthisdefinition,area… 相似文献
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Fuzzy映象的不动点理论是不分明数学理论和应用研究中的一个重要方面。本文对更一般的Fuzzy映象给出了几个新的不动点定理,发展了Heilpern的结果[3]。此外还部分回答了引文[1]中提出的一个未解决的问题。 相似文献
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Regularly open sets in fuzzy topological spaces 总被引:1,自引:0,他引:1
M. K. Singal
Niti Rajvanshi
《Fuzzy Sets and Systems》1992,50(3):343-353This paper is devoted to the study of the role of fuzzy regularly open sets. We prove some properties of fuzzy almost continuous mappings and define fuzzy almost open mappings. We prove that under a fuzzy almost continuous and fuzzy almost open map, the inverse image of a fuzzy regularly open set is fuzzy regularly open. Further we define a new type of fuzzy separation axioms, fuzzy almost separation axioms. It is interesting that there are some deviations in the behaviour of these axioms as compared to those in general topology. For example, in a fuzzy almost T1 space not every fuzzy singleton is δ-closed. Also a fuzzy space which is fuzzy almost
as well as fuzzy almost T0 is fuzzy almost regular. While in general topology we have to take an almost T2 space in place of almost T0 space. 相似文献
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This paper studies the variational inequality problem over a fuzzy domain and variational inequalities for fuzzy mappings over a fuzzy domain. It is shown that such problems can be reduced to bilevel programming problems. A penalty function algorithm is introduced with a convergence proof. Numerical examples are also included to illustrate the solution procedure. 相似文献
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本文给出了Fuzzy度量空间中Fuzzy映射的重合定理,推广了文(3)(5)中主要的结果。 相似文献
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This paper deals with fuzzy-set-valued mappings of the real line, and more particularly focuses on mappings from the real line to the set of convex normal fuzzy sets of the real line. These mappings can also be viewed as fuzzy relations. Using Zadeh's extension principle, the integral of such fuzzy mappings over a crisp interval is defined. Provided a special analytical representation of the fuzzy mapping, the practical computation of such an integral is shown to be easy. Practically speaking, it yields the fuzzy surface of a fuzzily-bounded area. 相似文献
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模糊映射的完全广义混合型强变分不等式 总被引:2,自引:2,他引:0
研究关于模糊映射的一类新的变分不等式-模糊映射的完全广义混合型强变分不等式,得到此类变分不等式解的存在定理分解的一个逼近算法,推广了文[4]和文[8]的主要结果。 相似文献