共查询到20条相似文献,搜索用时 46 毫秒
1.
陈露 《数学的实践与认识》2010,40(18)
在布尔代数中引入了的直觉T-S模糊子代数和直觉T-S模糊理想的概念,给出了布尔代数的直觉T-S模糊子代数的两个等价定义,进一步讨论了它们的性质.证明了布尔代数的两个直觉T-S模糊子代数(理想)的模交与直积也是直觉T-S模糊子代数(理想). 相似文献
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HE Peng-fei YANG Yong-wei XIN Xiao-long 《数学季刊》2014,(3):381-391
In this paper, we introduce a new algebraic structure, called a rough intuitionistic fuzzy ideal(filter) which is a generalized intuitionistic fuzzy ideal(filter) of a lattice and study some related properties of such ideals(filters). 相似文献
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In this paper we initiate the study of fuzzy semirings and fuzzy A-semimodules where A is a semiring and A-semimodules are representations of A. In particular, semirings all of whose ideals are idempotent, called fully idempotent semirings, are investigated in a fuzzy context. It is proved, among other results, that a semiring A is fully idempotent if and only if the lattice of fuzzy ideals of A is distributive under the sum and product of fuzzy ideals. It is also shown that the set of proper fuzzy prime ideals of a fully idempotent semiring A admits the structure of a topological space, called the fuzzy prime spectrum of A. 相似文献
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引入半群上模糊理想、模糊同余的概念。给出它们的一些等价刻划,证明了一个半群上所有模糊同余关系作成一个格。最后,给出模糊理想的积和模糊同余关系的积的概念,讨论了它们的一些性质。 相似文献
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《佛山科学技术学院》2014,6(3):279-297
The aim of this paper is to give some definitions of rough intuitionistic fuzzy ideal, rough intuitionistic fuzzy radical, rough prime (primary) intuitionistic fuzzy ideal and rough semiprime intuitionistic fuzzy ideal of an intuitionistic fuzzy subring, and also to give some properties of such ideals. Moreover, we give their nature under homomorphism. 相似文献
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Our main objective is to study properties of a fuzzy ideals(fuzzy dual ideals).A study of special types of fuzzy ideals(fuzzy dual ideals) is also furnished.Some properties of a fuzzy ideals(fuzzy dual ideals) are furnished.Properties of a fuzzy lattice homomorphism are discussed.Fuzzy ideal lattice of a fuzzy lattice is defined and discussed.Some results in fuzzy distributive lattice are proved. 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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h-半正则广义直觉模糊duo半环 总被引:1,自引:1,他引:0
通过在半环上引入具有边界值的直觉模糊h-理想和h-双理想,给出了一种广义直觉模糊duo半环,并在半环满足h-半正则性的前提下,对广义直觉模糊duo半环的性质进行了讨论. 相似文献
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本文深入研究了格蕴涵代数的直觉模糊\textit{LI}-理想理论.给出了直觉模糊\textit{LI}-理想的若干新的性质和等价刻画. 建立了由一个直觉模糊集生成的直觉模糊\textit{LI}-理想的表示定理.证明了一个格蕴涵代数的全体之集模糊\textit{LI}-理想之集在直觉模糊包含序下构成一个完备的分配格. 相似文献
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首先将T模、S模的概念推广,并研究了推广的T-S模的基本性质,进而分别定义了在对偶模意义下直觉模糊群的外直积与内直积.最后,证明了直觉模糊群的两种直积在一定条件下是同构的. 相似文献
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Fuzzy格的M-理想 总被引:1,自引:0,他引:1
M-理想是Fuzzy格的特有概念,在Fuzzy格的研究中,有它的独特优势。本文首先给出M-理想的一般性质;其次给出了M-理想与同余关系及同态的对应关系;最后,给出了M-理想并的新的构造等式,证明了当主M-理想完备时,Fuzzy格的全体主M-理想构成完备分配格 相似文献
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直积群上几类直觉模糊子群及其投影 总被引:1,自引:0,他引:1
给出了直觉模糊子群的性质及其等价命题,并通过定义直觉模糊集的直积与投影,获得了直觉模糊直积群及直觉模糊投影子群,进而在直觉模糊标准子群的条件下,分别讨论了直积群上的直觉模糊正规子群、直觉模糊特征子群、直觉模糊共轭与其直觉模糊投影子群的关系. 相似文献
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In this paper, the concept of lattice over generalized intuitionistic fuzzy matrices (GIFMs) are introduced and have shown that the set of GIFMs forms a distributive lattice. Some algebraic properties of generalized intuitionistic fuzzy matrices (GIFMs) are presented over distributive lattice. Also, some characteristics of generalized intuitionistic fuzzy nilpotent matrices (GIFNMs) are discussed over distributive lattice. Finally, the reduction of GIFNMs over distributive lattice are given with some properties. 相似文献
16.
《International Journal of Approximate Reasoning》2014,55(6):1369-1382
Two basic inference models of fuzzy reasoning are fuzzy modus ponens (FMP) and fuzzy modus tollens (FMT). The Triple I method is a very important method to solve the problems of FMP and FMT. The aim of this paper is to extend the Triple I method of approximate reasoning on Atanassov's intuitionistic fuzzy sets. In the paper, we first investigate the algebra operators' properties on the lattice structure of intuitionistic fuzzy information and provide the unified form of residual implications which indicates the relationship between intuitionistic fuzzy implications and fuzzy implications. Then we present the intuitionistic fuzzy reasoning version of the Triple I principles based on the models of intuitionistic fuzzy modus ponens (IFMP) and intuitionistic fuzzy modus tollens (IFMT) and give the Triple I method of intuitionistic fuzzy reasoning for residual implications. Moreover, we discuss the reductivity of the Triple I methods for IFMP and IFMT. Finally, we propose α-Triple I method of intuitionistic fuzzy reasoning. 相似文献
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关于三角模的直觉模糊群及其同态像 总被引:10,自引:0,他引:10
本文在K.Atanassov引进的直觉模糊集概念的基础上,利用T模和S模,定义了两个直觉模糊集的乘积.给出了关于三角模的直觉模糊群的概念及其等价命题,最后在两个经典群同态与同构意义下,研究了这种直觉模糊群的同态像及原像等问题。 相似文献
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In this paper a new definition of a lattice valued intuitionistic fuzzy set (LIFS) is introduced, in an attempt to overcome
the disadvantages of earlier definitions. Some properties of this kind of fuzzy sets and their basic operations are given.
The theorem of synthesis is proved: For every two families of subsets of a set satisfying certain conditions, there is an
lattice valued intuitionistic fuzzy set for which these are families of level sets.
The research supported by Serbian Ministry of Science and Technology, Grant No. 1227. 相似文献
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We give characterizations of different classes of ordered semigroups by using intuitionistic fuzzy ideals. We prove that an
ordered semigroup is regular if and only if every intuitionistic fuzzy left (respectively, right) ideal of S is idempotent. We also prove that an ordered semigroup S is intraregular if and only if every intuitionistic fuzzy two-sided ideal of S is idempotent. We give further characterizations of regular and intra-regular ordered semigroups in terms of intuitionistic
fuzzy left (respectively, right) ideals. In conclusion of this paper we prove that an ordered semigroup S is left weakly regular if and only if every intuitionistic fuzzy left ideal of S is idempotent. 相似文献
20.
The correspondence between unmixed bipartite graphs and sublattices of the Boolean lattice is discussed. By using this correspondence,
we show existence of squarefree quadratic initial ideals of toric ideals arising from minimal vertex covers of unmixed bipartite
graphs. 相似文献