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本文研究了Fuzzy概率空间中Fuzzy事件及概率的代数性质.利用Fuzzy概率空间中的概率为集函数这一特征和Fuzzy格的相关理论,得到了Fuzzy概率空间中的概率是从一个Fuzzy格到某个区间的Fuzzy格模同态,并将概率分解成Fuzzy格同态与Fuzzy格模同态的乘积。 相似文献
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Fuzzy半群中的Fuzzy素理想 总被引:4,自引:2,他引:2
探讨Fuzzy半群中Fuzzy素理想,Fuzzy 完全理想与Fuzzy理想的根的一些代数性质,证明Fuzzy半群中每一个Fuzzy理想是Fuzzy完全半素理想当且仅当它可表为一族Fuzzy完全素理想之交。 相似文献
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L—Fuzzy集分解定理 总被引:1,自引:1,他引:0
随着隶属函数真值域的拓广,原来关于Zadch-Fuzzy集的分解定理II和III对于L-Fuzzy集不再成立,尽管已有一些它们的关于L_Fuzzy集的改进形式,但因条件较强,失去了原来的许多优越性,本文从格论入手,首先引入格中元素的强上集和L-Fuzzy集准截集的两个新概念,并讨论了它们的部分性质,进而借助它们给出了L-Fuzzy集分解定理的两个新形式。 相似文献
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群上的Fuzzy子集的换位子 总被引:2,自引:0,他引:2
引入群上的n个Fuzzy子集的换位子的概念,讨论群上的n个Fuzzy子集的换位子的重要性质,其中一些性质推广了文[3]中相应的结论。 相似文献
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Fuzzy幂群的基数及表示 总被引:5,自引:2,他引:3
研究Fuzzy幂群^[2]中元素的基数,证明这种Fuzzy幂群并非Zadeh意义的Fuzzy子群,而且可以用一分明群表示,给出有限群上Fuzzy幂群的正则表示,并讨论Fuzzy幂群的同态性质。 相似文献
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格的L′—Fuzzy理想的代数性质 总被引:4,自引:3,他引:1
引入格L的L′-Fuzzy理想,L′-Fuzzy素理想和L′-Fuzzy同余理想等概念,讨论这些理想在Zadeh型映射下像的性质,得到若干结果。′′ 相似文献
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关于具有Fuzzy约束的Fuzzy多目标规划非控解的存在性 总被引:4,自引:0,他引:4
本文对具有Fuzzy约束集的Fuzzy多目标规划引进Fuzzy非控点和Fuzzy非控解的概念,讨论了它们的一些基本性质和存在性。 相似文献
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Nobuaki Kuroki 《Fuzzy Sets and Systems》1981,5(2):203-215
In this paper we give some properties of fuzzy ideals and fuzzy bi-ideals of semigroups, and characterize semigroups that are (left) duo, (left) simple and semilattices of subsemigroups in terms of fuzzy ideals and fuzzy bi-ideals. 相似文献
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直觉模糊群与它的同态像 总被引:24,自引:5,他引:19
在K,Atanassov引进直觉模糊集的基础上,给出它的扩展原理,进而定义了直觉模糊群,并讨论了它的简单性质,最后在两个经典群同态与同构意义下,研究了这咱直觉模糊群的像、前像与逆映射等问题。 相似文献
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In this note we characterize weakly self-injective semilattices as Brouwerian semilattices which are compact in the residuated
interval topology. We also characterize weakly self-injective semigroups which are semilattices of groups with trivial multiplication.
Research of first author supported in part by a research grant from the Faculty Research Committee of Bowling Green State
University.
Research of second author supported in part by a postdoctoral fellowship in the Biomathematics Program at North Carolina State
University under PHS Grant #GM-678 from NIGMS. 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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Motivated by studying fuzzy congruences in groups, semigroups, and ordered semigroups, and as a continuation of N. Kuroki and Y. Tan's works in regular semigroups in terms of fuzzy subsets, in this article we introduce the notions of a fuzzy good congruence relation, a fuzzy cancellative congruence relation on abundant semigroups, and give some properties, and characterizations of fuzzy good congruences on such semigroups. Furthermore, we characterize fuzzy good congruences of left semiperfect abundant semigroups, and get sufficient and necessary conditions for an abundant semigroup to be left semiperfect. 相似文献