共查询到19条相似文献,搜索用时 93 毫秒
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双极模糊有限状态机的代数刻画 总被引:1,自引:0,他引:1
利用双极模糊集的定义,提出了完全的,循环的,强连通的,可恢复的双极模糊有限状态机,双极模糊有限状态机的子机的概念。讨论了双极模糊有限状态机在同态作用下的一些性质,刻画了强连通的与可恢复的双极模糊有限状态机的性质。 相似文献
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给出了广义模糊子半环的广义模糊双(内)理想的概念.运用截集、模糊子集的和与积得到了广义模糊子半环的广义模糊双(内)理想的等价条件及性质,同时还得到了在半环的同态映射下同态像及同态原像的性质.当λ=0,μ=1时,得到一般意义下的模糊子半环的模糊双(内)理想的相应结果. 相似文献
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《数学的实践与认识》2017,(24)
对超半环上的直觉模糊子集进行讨论.首先在超半环上给出有边界值的直觉模糊超理想,对其部分性质进行研究.其次给出正则超半环和内禀正则超半环的概念,利用有边界值的直觉模糊超理想对这两种超半环进行刻画,得到若干刻画定理. 相似文献
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定义了循环模糊有限状态机M=(Q,X,μ)输入字集X*上的右同余关系,讨论了其等价类做成的半群E(M)的性质,及以该半群的子集为状态集的循环模糊有限状态机(M)与原循环模糊有限状态机M的同态关系,得出了在某些条件下,(M)与M是强同构的. 相似文献
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Intuitionistic fuzzy finite state machines 总被引:1,自引:0,他引:1
Young Bae Jun 《Journal of Applied Mathematics and Computing》2005,17(1-2):109-120
Using the notion of intuitionistic fuzzy sets, the concepts of intuitionistic fuzzy finite state machines (iffsm), intuitionistic successor s, intuitionistic subsystems, intuitionistic submachines, intuitionisticq-twins, and intuitionistic retrievable iffsm are introduce d, and related properties are studied. Relations between intuitionisticq-twins and intuitionisticq-related iffsm are given. A characterization of an intuitionistic retrievable iffsm is provided. 相似文献
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In this paper we give characterisations of FP-injective semirings (previously termed “exact” semirings in work of the first author). We provide a basic connection between FP-injective semirings and P-injective semirings, and establish that FP-injectivity of semirings is a Morita invariant property. We show that the analogue of the Faith-Menal conjecture (relating FP-injectivity and self-injectivity for rings satisfying certain chain conditions) does not hold for semirings. We prove that the semigroup ring of a locally finite inverse monoid over an FP-injective ring is FP-injective and give a criterion for the Leavitt path algebra of a finite graph to be FP-injective. 相似文献
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On the basis of concepts of bipolar fuzzy sets, we establish a new framework of bipolar fuzzy subsemirings(resp., ideals) which is a generalization of traditional fuzzy subsemirings(resp., ideals) in semirings. The concepts of bipolar fuzzy subsemirings(resp., ideals) are introduced and related properties are investigated by means of positive t-cut, negative s-cut and equivalence relation. Particularly, the notion of a normal bipolar fuzzy ideal is given, and some basic properties are studied in this paper. 相似文献
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The operator semirings of a ??-semiring have been brought into use to study ??-semiring in terms of fuzzy subsets. This is accomplished by obtaining various relationships between the set of all fuzzy ideals of a ??-semiring and the set of all fuzzy ideals of its left operator semiring such as lattice isomorphism between the sets of fuzzy ideals of a ??-semiring and its operator semirings. 相似文献
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Ya. N. Shitov 《Journal of Mathematical Sciences》2013,193(5):802-808
We consider the rank functions of matrices over semirings, functions that generalize the classical notion of the rank of a matrix over a field. We study semirings over which the factor and Gondran–Minoux ranks of any matrix coincide. It is shown that every semiring satisfying that condition is a subsemiring of a field. We provide an example of an integral domain over which the factor and Gondran–Minoux ranks are different. 相似文献
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Issaraporn Thongsomnuk 《Linear and Multilinear Algebra》2019,67(1):39-50
In this work, we consider the problem on the existence of perfect state transfer in unitary Cayley graphs and gcd-graphs over finite commutative rings. We characterize all finite commutative rings allowing perfect transfer to occur on their unitary Cayley graphs. Also, we use our main result to study perfect state transfer in unitary Cayley signed graphs and some gcd-graphs on quotient rings of unique factorization domains. Moreover, we can apply some calculations on the eigenvalues to determine the existence of perfect state transfer in Cayley graphs over finite chain rings. 相似文献
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给出了半环的广义模糊双理想的概念并讨论了模糊关系下的半环的广义模糊双理想的一些代数性质. 相似文献
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周敏 《高校应用数学学报(A辑)》2017,32(3)
首先给出了半环的L-模糊理想同态的定义,在此基础上较系统地讨论了半环的L-模糊理想范畴的性质,证明了此范畴是半环范畴上的一个拓扑结构,并探讨了其中的等子、拉回和乘积等性质.另一方面,给出了半环的L-模糊理想范畴的逆系统的定义,建立了半环的L-模糊理想范畴中逆系统的逆极限结构.特别是在引入两个逆系统之间映射的基础上,得到了两个逆系统的逆极限之间的极限映射. 相似文献