共查询到20条相似文献,搜索用时 46 毫秒
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重新定义了广义模糊数,引入了"序"、"运算"及"度量",得到了一些基本性质,并研究了广义模糊数序列的极限及性质,给出了单调收敛、闭区间套等重要定理,使模糊数对应理论得以拓广. 相似文献
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Rolle定理是微分中值定理中最基本、最重要的,其证明具有广泛的代表性.本文侧重从分析定理的条件着手,利用反证法并借助确界原理、闭区间套原理等不同理论,给出了Rolle定理一些新的证法. 相似文献
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判别函数列一致收敛的方法有函数列一致收敛定义、Cauchy一致收敛准则、limn→∞supx∈D|fn(x)-f(x)|=0及Dini定理,本文由函数列的等度连续性,可得出几个有界闭区间上连续函数列一致收敛的充要条件,推广了Dini定理. 相似文献
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euler数即系的极限本文用两种方法对之给出证明.一、用闭区间套定理证易知对任何,总有.设则为一闭区间套.由闭区间套定理,存在唯一点使得且由所设从;的表达式,即得二、用单调有界定理不等式两边相加得:有下界.又所以调递减.据单调有界定理,存在.证毕.Euler数存在性的证明@孔志宏$铁路继续教育运输基地北京铁路局干部培训中心!北京,030013[1]科学出版社,《数学手册》 P123 相似文献
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引入Fuzzy值Fuzzy测度的完备化定义,证明Fuzzy值Fuzzy测度的完备化定理,讨论完备化Fuzzy值Fuzzy测度的某些重要性质。 相似文献
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In this study, by the use of Yuan and Lee’s definition of the fuzzy group based on fuzzy binary operation we give a new kind
of fuzzy ring. The concept of fuzzy subring, fuzzy ideal and fuzzy ring homomorphism are introduced, and we make a theoretical
study their basic properties analogous to those of ordinary rings.
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Michael Smithson 《Fuzzy Sets and Systems》1984,14(1):1-3
Linear programming problems with fuzzy parameters are formulated by fuzzy functions. The ambiguity considered here is not randomness, but fuzziness which is associated with the lack of a sharp transition from membership to nonmembership. Parameters on constraint and objective functions are given by fuzzy numbers. In this paper, our object is the formulation of a fuzzy linear programming problem to obtain a reasonable solution under consideration of the ambiguity of parameters. This fuzzy linear programming problem with fuzzy numbers can be regarded as a model of decision problems where human estimation is influential. 相似文献
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S.E. Rodabaugh 《Fuzzy Sets and Systems》1982,8(1):39-52
Under the hypothesis L is a chain, we construct a binary operation ⊕ on the L-fuzzy real line (L) which reduces to the usual addition on if ⊕ is restricted to the embedded image of in (L), which yields a partially ordered, abelian cancellation semigroup with identity, and which is jointly fuzzy continuous on (L). We show ⊕ is unique, i.e. it is the only extension of addition to (L) which is consistent. We study the relationship between ⊕ and other fuzzy continuous extensions of the usual addition. We also show that fuzzy translation is a weak fuzzy homeomorphism and, under certain conditions, a fuzzy homeomorphism. 相似文献
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Fuzzy logic adds to bivalent logic an important capability—a capability to reason precisely with imperfect information. Imperfect information is information which in one or more respects is imprecise, uncertain, incomplete, unreliable, vague or partially true. In fuzzy logic, results of reasoning are expected to be provably valid, or p-valid for short. Extended fuzzy logic adds an equally important capability—a capability to reason imprecisely with imperfect information. This capability comes into play when precise reasoning is infeasible, excessively costly or unneeded. In extended fuzzy logic, p-validity of results is desirable but not required. What is admissible is a mode of reasoning which is fuzzily valid, or f-valid for short. Actually, much of everyday human reasoning is f-valid reasoning.f-Valid reasoning falls within the province of what may be called unprecisiated fuzzy logic, FLu. FLu is the logic which underlies what is referred to as f-geometry. In f-geometry, geometric figures are drawn by hand with a spray pen—a miniaturized spray can. In Euclidean geometry, a crisp concept, C, corresponds to a fuzzy concept, f-C, in f-geometry. f-C is referred to as an f-transform of C, with C serving as the prototype of f-C. f-C may be interpreted as the result of execution of the instructions: Draw C by hand with a spray pen. Thus, in f-geometry we have f-points, f-lines, f-triangles, f-circles, etc. In addition, we have f-transforms of higher-level concepts: f-parallel, f-similar, f-axiom, f-definition, f-theorem, etc. In f-geometry, p-valid reasoning does not apply. Basically, f-geometry may be viewed as an f-transform of Euclidean geometry.What is important to note is that f-valid reasoning based on a realistic model may be more useful than p-valid reasoning based on an unrealistic model. 相似文献
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Walenty Ostasiewicz 《Fuzzy Sets and Systems》1982,7(2):139-152
A fuzzy program is defined in the usual way as a sequence of statements (instruction) which are considered as functions (possibly fuzzy functions) and fuzzy predicates defined on the given input domain. The essential difference in the approach presented in this paper is the new interpretation of the execution of fuzzy programs, and a new method of evaluating fuzzy predicates. The result of the fuzzy program execution is an appropriate fuzzy subset in the output domain. 相似文献
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定义了n维模糊向量的模糊距离、n维模糊度量空间及其完备性的概念,实现了用R上的模糊数度量模糊向量间距离的目的,不仅使得模糊距离的度量更加合理、更加贴切,也创立一套独立于实数的模糊数学分析理论打下了基础。 相似文献
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A.A.Salama 《模糊系统与数学》2010,24(2)
Fuzzy ideals and the notion of fuzzy local function were introduced and studied by Sarkar[12] and by Mahmoud in [9]. The purpose of this paper deals with a fuzzy compactness modulo a fuzzy ideal. Many new sorts of weak and strong fuzzy compactness have been introduced to fuzzy topological spaces in the last twenty years but not have been studied using fuzzy ideals so,the main aim of our work in this paper is to define and study some new various types of fuzzy compactness with respect to fuzzy ideals namely fuzzy L-compact and L*-compact spaces. Also fuzzy compactness with respect to ideal is useful as unification and generalization of several others widely studied concepts. Possible application to superstrings and E∞ space-time are touched upon. 相似文献