共查询到20条相似文献,搜索用时 15 毫秒
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针对模糊识别器与有穷自动机的关系,证明了当输入字母表相同时,任给一个模糊识别器,必然存在一个有穷自动机,使得模糊识别器的行为与有穷自动机所接受的语言相同;反之,任给一个有穷自动机,必然存在一个模糊识别器,使得有穷自动机所接受的语言与模糊识别器的行为相同,从而得出它们之间的等价性。 相似文献
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Young Bae Jun 《Information Sciences》2007,177(21):4662-4677
The notion of intuitionistic nil radicals of intuitionistic fuzzy ideals in rings is introduced, and related properties are investigated. The notion of semiprime intuitionistic fuzzy ideals is provided, and its characterization is established. The concept of Euclidean intuitionistic fuzzy ideals is also introduced, and its characterization is established. 相似文献
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Bae Jun Young 《Information Sciences》2009,179(24):4284-1770
The idea of (faithful) intuitionistic fuzzy transformation semigroup, intuitionistic admissible relation, and intuitionistic (strong) homomorphism are introduced and their basic properties are examined. 相似文献
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在基于扩展二值逻辑的直觉模糊蕴涵式运算方法的基础上,提出了一种新的直觉模糊近似推理方法,该方法系统而全面地概括了直觉模糊集的蕴涵关系和直觉模糊近似推理方法。通过实例验证了所提出的直觉模糊近似推理方法的有效性和正确性。 相似文献
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In this paper we introduce a new method for determinization of fuzzy finite automata with membership values in complete residuated lattices. In comparison with the previous methods, developed by Bělohlávek [R. Bělohlávek, Determinism and fuzzy automata, Information Sciences 143 (2002), 205-209] and Li and Pedrycz [Y.M. Li, W. Pedrycz, Fuzzy finite automata and fuzzy regular expressions with membership values in lattice ordered monoids, Fuzzy Sets and Systems 156 (2005), 68-92], our method always gives a smaller automaton, and in some cases, when the previous methods result in infinite automata, our method can result in a finite one. We also show that determinization of fuzzy automata is closely related to fuzzy right congruences on a free monoid and fuzzy automata associated with them, and in particular, to the concept of the Nerode’s fuzzy right congruence of a fuzzy automaton, which we introduce and study here. 相似文献
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Young Bae Jun 《Information Sciences》2007,177(22):4977-4986
Quotient structures of intuitionistic fuzzy finite state machines are discussed. We give congruence relations which can be naturally introduced in such a way that each associates a semigroup with an intuitionistic fuzzy finite state machine. We also introduce the notion of intuitionistic admissible relation, and give its characterization. An isomorphism between an intuitionistic fuzzy finite state machine and the quotient structure of another intuitionistic fuzzy finite state machine is established. 相似文献
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直觉模糊多属性决策方法综述 总被引:7,自引:0,他引:7
直觉模糊多属性决策是当前决策领域的一个研究热点,在实际决策中有着广泛的应用.按照直觉模糊集的发展形式:直觉模糊集、区间直觉模糊集、直觉三角模糊数和直觉梯形模糊数,分别介绍它们在多属性决策与群决策中的研究现状,并对其未来的发展方向进行了探讨与展望. 相似文献
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提出了直觉模糊有限状态机的子系统(强子系统)在同态作用下的前像与像的概念,讨论了它们的性质,并刻画了子系统与强子系统的性质。 相似文献
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Choquet integrals of weighted intuitionistic fuzzy information 总被引:3,自引:0,他引:3
Zeshui Xu 《Information Sciences》2010,180(5):726-2668
The Choquet integral is a very useful way of measuring the expected utility of an uncertain event [G. Choquet, Theory of capacities, Annales de l’institut Fourier 5 (1953) 131-295]. In this paper, we use the Choquet integral to propose some intuitionistic fuzzy aggregation operators. The operators not only consider the importance of the elements or their ordered positions, but also can reflect the correlations among the elements or their ordered positions. It is worth pointing out that most of the existing intuitionistic fuzzy aggregation operators are special cases of our operators. Moreover, we propose the interval-valued intuitionistic fuzzy correlated averaging operator and the interval-valued intuitionistic fuzzy correlated geometric operator to aggregate interval-valued intuitionistic fuzzy information, and apply them to a practical decision-making problem involving the prioritization of information technology improvement projects. 相似文献
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In this paper, we investigate graph theory-based clustering techniques for Atanassov’s intuitionistic fuzzy sets (A-IFSs) and interval-valued intuitionistic fuzzy sets (IVIFSs). We start by introducing the concepts of graph, minimum spanning tree (MST), A-IFS, and intuitionistic fuzzy distance, and develop two intuitionistic fuzzy MST clustering algorithms ( and ). Then we extend Algorithm II for clustering IVIFSs, and show the effectiveness of our algorithms through some numerical experiments. 相似文献
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基于直觉模糊Petri网的加权直觉模糊推理 总被引:1,自引:0,他引:1
利用直觉模糊集合较好地表现不确定信息的能力和Petri网的并行处理能力,构建了直觉模糊Petri网模型。给出了输入权值、变迁阈值等多种约束条件下的直觉模糊推理算法。该算法将直觉模糊推理过程转化为矩阵的运算过程可充分利用直觉模糊Petri网的并行推理能力,有效地避免同一变迁不必要地重复激发从而节省推理时间。实例分析表明所给出的直觉模糊推理算法较已有算法更加合理并且高效。 相似文献
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Mohammad Ghasem Akbari 《International journal of systems science》2017,48(15):3305-3315
This paper extends some basic concepts associated to record value based on intuitionistic fuzzy random variables. In this approach, αβ-values of intuituinistic fuzzy numbers are employed to construct intuitionistic fuzzy cumulative distribution function and its common estimator, an extended entropy and its estimator, intuitionistic fuzzy (upper) record value and its common estimator. Main property of the proposed concepts include large sample properties which are investigated in the space of intuitionistic fuzzy numbers. Some numerical examples are also illustrated to clarify the concepts and methods. 相似文献
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S.E. Abbas 《Information Sciences》2006,176(6):745-757
We introduce the intuitionistic fuzzy semiregularization space induced by an intuitionistic fuzzy topological space. We also investigate some properties of intuitionistic fuzzy semiregularization spaces. 相似文献
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Intuitionistic fuzzy sets are useful for modeling uncertain data of realistic problems. In this paper, we generalize and expand the utility of complex intuitionistic fuzzy sets using the space of quaternion numbers. The proposed representation can capture composite features and convey multi-dimensional fuzzy information via the functions of real membership, imaginary membership, real non-membership, and imaginary non-membership. We analyze the order relations and logic operations of the complex intuitionistic fuzzy set theory and introduce new operations based on quaternion numbers. We also present two quaternion distance measures in algebraic and polar forms and analyze their properties. We apply the quaternion representations and measures to decision-making models. The proposed model is experimentally validated in medical diagnosis, which is an emerging application for tackling patient’s symptoms and attributes of diseases. 相似文献
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This paper presents a general framework for the study of relation-based (I,T)-intuitionistic fuzzy rough sets by using constructive and axiomatic approaches. In the constructive approach, by employing an intuitionistic fuzzy implicator I and an intuitionistic fuzzy triangle norm T, lower and upper approximations of intuitionistic fuzzy sets with respect to an intuitionistic fuzzy approximation space are first defined. Properties of (I,T)-intuitionistic fuzzy rough approximation operators are examined. The connections between special types of intuitionistic fuzzy relations and properties of intuitionistic fuzzy approximation operators are established. In the axiomatic approach, an operator-oriented characterization of (I,T)-intuitionistic fuzzy rough sets is proposed. Different axiom sets characterizing the essential properties of intuitionistic fuzzy approximation operators associated with various intuitionistic fuzzy relations are explored. 相似文献
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在EQ-代数和直觉模糊集理论的基础上,引入了EQ-代数上直觉模糊前滤子和直觉模糊前素滤子的定义,讨论了它们的有关性质;研究了EQ-代数上直觉模糊前滤子的生成;得到了直觉模糊前滤子的全体构成的集合所具有的代数结构。 相似文献
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