B-vex Fuzzy Mappings and Its Application to Fuzzy Optimization Problems

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The Pointwise Characterizations of Fuzzy Ideals and Fuzzy Prime Ideals

TheconceptofthefuzzysubgroupsintroducedinRosenfeld[l],wasappliedtogeneralizesomeofthebasicconceptsofalgebra.In[2,3,4]LuWangjindefinedfuzzysubringsandfuzzyideals,introducedtheoperationsonfuzzyidea1s.In[5]theautherdiscussedaboutthenatureoffuzzysubringsbythenestedsubring.Butthepointwisedefinitionsoffuzzysubgroupsandfuzzysubringsarerare.Inthispaper,theautherprogramsanddiscussesthefuzzysubrings,fuzzyidealsandfuzzyprimeidealsbyfuzzyPoints..5l.PreliminariesLetusrecallsomeconceptsoccurrjnginthe[2,3…     

复模糊数及其收敛性

在新的模糊数序关系意义下,将定义在所有实模糊数上的模糊距离推广到所有复模糊数集上的模糊距离.并以此为基础,定义了复模糊数列的极限,讨论了复模糊数列的保号性、有界性等收敛性质及C auchy收敛判别法等.     

模糊数学在数学建模中的应用

主要讨论模糊数学在数学建模课程和数学建模竞赛中的应用问题.在数学建模中应当引进模糊数学方法,可以得到一些计算较为简单,更符合实际情况的数学模型.     

模糊复分析学研究进展

综述模糊复分析学的研究进展并对其发展历史进行了简单回顾,主要介绍了近年来有关模糊复分析研究的一些主要成果,最后对该学科今后需要进一步研究的课题进行了分析和概括.     

具有模糊支付的Moran过程演化博弈动态

以往对演化博弈的研究都假设个体从博弈中获得的支付是确定的并以精确的数来表示。然而由于受环境中各种不确定因素的影响,个体博弈时所获得的支付并不是一个精确的数值,而需要用一个模糊数来表示。本文研究模糊支付下2×2的对称博弈, 利用模糊数的运算, 分析具有模糊支付的有限种群Moran过程演化动态。在弱选择下以梯形模糊数和三角模糊数表示博弈支付,计算策略的模糊扎根概率,分析自然选择有利于策略扎根及策略成为模糊演化稳定策略的条件。将经典博弈推广到模糊环境中丰富了演化博弈理论,更具有现实意义。     

L—Fuzzy集上的Fuzzy值函数的Fuzzy积分的收敛

本文引入了L-Fuzzy集合上的Fuzzy值函数关于Fuzzy值Fuzzy测度的Fuzzy值Fuzzy积分的概念,给出上述概念的几个等价定义,讨论其基本性质,得到一系列积分序列的收敛定理。     

Fuzzy smooth preproximity spaces

The concept of a fuzzy smooth preproximity space is introduced and studied. Also, some particular constructions of fuzzy smooth preproximity are given. A natural link is established between this concept and the concept of fuzzy pretopological spaces and fuzzy preuniform spaces.     

模糊值函数分析学的结构元方法简介(Ⅰ)——结构元与模糊数运算

简述了模糊值函数分析学在具体工程实践应用中存在的困难和障碍,系统地介绍了模糊结构元方法在模糊值函数分析学中的应用,包括模糊结构元的概念、模糊数的模糊结构元表示形式、基于结构元表达形式的模糊数运算与隶属函数确定.模糊结构元方法将复杂的模糊数运算转化为一类单调有界函数的运算,不仅仅为模糊分析计算的简化提供了工具,同时也为模糊值函数分析学应用的研究开创了一条新的途径.     

F幂群的性质与结构

文[1]首次提出了F幂群的概念，并讨论了F幂群的基本结构及同态问题。本文进一步系统地讨论了F幂群的性质与结构。     

Fuzzy Galois connections on fuzzy posets

The concept of fuzzy Galois connections is defined on fuzzy posets with Bělohlávek's fuzzy Galois connections as a special case. The properties of fuzzy Galois connections are investigated. Then the relations between fuzzy Galois connections and fuzzy closure operators, fuzzy interior operators are studied. (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

模糊全区间序结构

本文试图对模糊偏好结构及模糊全区间序结构的定义进行探讨，并讨论它们的性质．以Fodor等提出的公理为基础，给出了模糊偏好结构的定义，同时对一类重要的模糊偏好结构-模糊全区间序结构的性质进行了讨论，得出了模糊全区间序结构的一些充要条件．     

Solution and Application of the Matrix Equation AX~=b~

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On-Line Constrained Predictive Control Algorithm using Multi-Objective Fuzzy-Optimization and a Case Study

Model predictive control (MPC) has been used in process control systems with constraints, however, the constrained optimization problem involved in control systems has generally been solved in practice in a piece-meal fashion. To solve the problem systemically, in this paper, the Multi-Objective Fuzzy-Optimization (MOFO) is used in the constrained predictive control for online applications as a means of dealing with fuzzy goals and fuzzy constraints in control systems. The conventional model predictive control is integrated with the techniques from fuzzy multicriteria decision making, translating the goals and the constraints to predictive control in a transparent way. The information regarding the fuzzy goals and the fuzzy constraints of the control problem is combined by using a decision function from the fuzzy theory, so it is possible to aggregate the fuzzy goals and the fuzzy constraints using fuzzy operators, e.g. t-norms, s-norms or the convex sum. It is shown that the model predictive controller based on MOFO allows the designers a more flexible aggregation of the control objectives than the usual weighting sum of squared errors in MPC. The efficiency of the presented algorithm is validated by the visual robot path planning.     

A measure-theoretic axiomatization of fuzzy sets

Using measurement theory, this paper examines three empirical structures that underlie the representation of fuzzy sets: the fuzzy membership structure, the fuzzy component structure, and the fuzzy system structure. These qualitative structures justify the use of the standard min-max system to represent fuzzy sets. The results of this study facilitate the development of a sound measurement-theoretic axiomatization of fuzzy systems.     

模糊连续映射和开映射的新特征

给定模糊格Ｌ及ＬＦ拓扑空间（Ｌ＾ｘ,δ）,对Ｌ的素元素ｒ及分子ａ,在（Ｌ＾ｘ,δ）中引入了ｒ－开集及α－闭集的概念。证明了所有的ｒ－开集Ｏｒ（δ）和α－闭集Ｃａ（δ）分别形成一个ＬＦ拓扑和ＬＦ余拓扑,借助于它俩得到了ＬＦ连续映射和ＬＦ开映射的若干新特征。     

可变模糊集合理论与可变模型集

在对立模糊集定义基础上给出以相对隶属函数表示的模糊可变集合定义,给出可变模糊聚类迭代模型、可变模糊模式识别模型、可变模糊对立识别模型.它们是可变模糊聚类、识别、优选决策、评价相统一的理论模型集,是可变模糊集的基础模型与核心内容,可用于自然、管理、人文、社会等各种学科中关于模糊聚类、识别、优选决策、评价、预测等众多实际领域.     

Matrix Games with Fuzzy Goals and Fuzzy Linear Programming Duality

A two person zero-sum matrix game with fuzzy goals is shown to be equivalent to a primal-dual pair of fuzzy linear programming problems. Further certain difficulties with similar studies reported in the literature are also discussed.     

Level Filter Characterization of Fuzzy Neighbourhood Systems

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On Fuzzy Simplex and Fuzzy Convex Hull

In this paper,we discuss fuzzy simplex and fuzzy convex hull,and give several representation theorems for fuzzy simplex and fuzzy convex hull.In addition,by giving a new characterization theorem of fuzzy convex hull,we improve some known results about fuzzy convex hull.