共查询到19条相似文献,搜索用时 328 毫秒
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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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对于直觉模糊(IFS)环境下的多属性决策问题,引进了诱导有序加权调和平均算子(IOWHA),然后构建了直觉模糊集之间的运算关系,提出了直觉模糊集的逆的概念,继而得出能集结直觉模糊集的IOWHA算子并给出其在TOPSIS决策方法中的应用,实证分析的结果表明该方法有效、可行. 相似文献
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Deng-Feng Li 《Fuzzy Optimization and Decision Making》2011,10(1):45-58
The Atanassov’s intuitionistic fuzzy (IF) set theory has become a popular topic of investigation in the fuzzy set community.
However, there is less investigation on the representation of level sets and extension principles for interval-valued intuitionistic
fuzzy (IVIF) sets as well as algebraic operations. In this paper, firstly the representation theorem of IVIF sets is proposed
by using the concept of level sets. Then, the extension principles of IVIF sets are developed based on the representation
theorem. Finally, the addition, subtraction, multiplication and division operations over IVIF sets are defined based on the
extension principle. The representation theorem and extension principles as well as algebraic operations form an important
part of Atanassov’s IF set theory. 相似文献
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In this paper we propose a method to construct more general fuzzy sets using ordinary fuzzy sets as building blocks. We introduce
the concept of multi-fuzzy sets in terms of ordered sequences of membership functions. The family of operations T, S, M of multi-fuzzy sets are introduced by coordinate wise t-norms, s-norms and aggregation operations. We define the notion of coordinate wise conjugation of multifuzzy sets, a method for obtaining
Atanassov’s intuitionistic fuzzy operations from multi-fuzzy sets. We show that various binary operations in Atanassov’s intuitionistic
fuzzy sets are equivalent to some operations in multi-fuzzy sets like M operations, 2-conjugates of the T and S operations. It is concluded that multi-fuzzy set theory is an extension of Zadeh’s fuzzy set theory, Atanassov’s intuitionsitic
fuzzy set theory and L-fuzzy set theory. 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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直觉模糊正规子群与直觉模糊商群 总被引:5,自引:0,他引:5
在直觉模糊子群的基础上 ,引入直觉模糊正规子群与直觉模糊商群概念 ,并讨论了它们的一些性质 ,最后研究了群同态下 ,直觉模糊正规子群的对应关系 相似文献
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提出直觉 Fuzzy集的截集的概念 ,并详细讨论其基本性质 ,在此基础上建立直觉 Fuzzy集的一系列分解定理、表现定理与扩张原理 . 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, we consider the notion of rough intuitionistic fuzzy sets and study their properties. We present an extension of rough set theory with the concept of intuitionistic fuzzy sets with several properties given. Moreover, we discuss the knowledge reduction of the classical Pawlak information systems and the intuitionistic fuzzy information systems, respectively. 相似文献
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Information granulation and entropy are main approaches for investigating the uncertainty of information systems, which have been widely employed in many practical domains. In this paper, information granulation and uncertainty measures for interval-valued intuitionistic fuzzy binary granular structures are addressed. First, we propose the representation of interval-valued intuitionistic fuzzy information granules and examine some operations of interval-valued intuitionistic fuzzy granular structures. Second, the interval-valued intuitionistic fuzzy information granularity is introduced to depict the distinguishment ability of an interval-valued intuitionistic fuzzy granular structure (IIFGS), which is a natural extension of fuzzy information granularity. Third, we discuss how to scale the uncertainty of an IIFGS using the extended information entropy and the uncertainty among interval-valued intuitionistic fuzzy granular structures using the expanded mutual information derived from the presented intuitionistic fuzzy information entropy. Fourth, we discovery the relationship between the developed interval-valued intuitionistic fuzzy information entropy and the intuitionistic fuzzy information granularity presented in this paper. 相似文献
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Some aspects of intuitionistic fuzzy sets 总被引:1,自引:0,他引:1
Ronald R. Yager 《Fuzzy Optimization and Decision Making》2009,8(1):67-90
We first discuss the significant role that duality plays in many aggregation operations involving intuitionistic fuzzy subsets.
We then consider the extension to intuitionistic fuzzy subsets of a number of ideas from standard fuzzy subsets. In particular
we look at the measure of specificity. We also look at the problem of alternative selection when decision criteria satisfaction
is expressed using intuitionistic fuzzy subsets. We introduce a decision paradigm called the method of least commitment. We
briefly look at the problem of defuzzification of intuitionistic fuzzy subsets. 相似文献