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Journal of Fuzzy Set Valued Analysis最新文献

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Minimal Solution of Non-square Fuzzy Linear Systems 非平方模糊线性系统的最小解
Pub Date : 1900-01-01 DOI: 10.5899/2012/JFSVA-00105
M. Otadi, M. Mosleh
In this paper, the main is to develop a method to solve an arbitrary inconsistent fuzzy linear system by using the embedding approach. Considering the existing of minimal solution to $mtimes n$ linear fuzzy system is done. To illustrate the proposed model numerical examples are given and obtained results are discussed.
本文主要研究了一种用嵌入法求解任意不一致模糊线性系统的方法。考虑$m * n$线性模糊系统的最小解的存在性。为了说明所提出的模型,给出了数值算例,并对所得结果进行了讨论。
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引用次数: 5
Multiscale fuzzy modeling and Mathematical problems Related To Tumor Evolution and Medical Therapy 肿瘤演化与医学治疗相关的多尺度模糊建模与数学问题
Pub Date : 1900-01-01 DOI: 10.5899/2016/JFSVA-00287
R. Pakzad, M. Keshavarz, M. Pakzad
Many mathematical models have presented for preventing different diseases such as cancers. But the question often asked is why the suggested models are not effective for all people suffering from a special disease. Researchers have mentioned patients' mental and physical conditions not considered by such models. In this article by consideration of special fuzzy factors, we attempt to present a model which can show the progress and dis-progress of cancer cells with attention to anatomical and physiological conditions of the body.
人们提出了许多预防不同疾病(如癌症)的数学模型。但经常被问到的问题是,为什么建议的模型并不是对所有患有一种特殊疾病的人都有效。研究人员提到了这些模型没有考虑到患者的精神和身体状况。在本文中,我们试图通过考虑特殊的模糊因素,建立一个能反映癌细胞进展和不进展的模型,并考虑到人体的解剖和生理状况。
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引用次数: 1
Control of cancer growth using single input autonomous fuzzy Nano-particles 利用单输入自主模糊纳米粒子控制肿瘤生长
Pub Date : 1900-01-01 DOI: 10.5899/2015/jfsva-00229
F. Razmi, R. Moghaddam, A. Rowhanimanesh
In this paper a single input fuzzy controller is applied on autonomous drug-encapsulated nanoparticles (ADENPs) to restrict the cancer growth. The proposed ADENPs, swarmly release the drug in local cancerous tissue and effectively decreases the destruction of normal tissue. The amount of released drug is defined considering to feed backed values of tumor growth rate and the used drug. Some significant characteristics of Nano particles compared to Nano-robots is their ability to recognize the cancerous tissue from the normal one and their simple structure. Nano particles became an attractive topic in Nano science and many efforts have been done to manufacture these particles. Simulation results show that the proposed controlling method not only decreases the cancerous tissue effectively but also reduces the side effects of drug impressively.
本文将单输入模糊控制器应用于自主药包纳米粒子(ADENPs),以抑制肿瘤的生长。所提出的腺嘌呤腺苷肽,在局部癌组织中大量释放药物,有效地减少了对正常组织的破坏。考虑肿瘤生长速率和所用药物的反馈值来确定药物的释放量。与纳米机器人相比,纳米粒子的一些显著特点是它们能够从正常组织中识别癌组织和它们简单的结构。纳米粒子已成为纳米科学研究的热点,人们在纳米粒子的制造方面做了许多努力。仿真结果表明,所提出的控制方法不仅有效地减少了癌变组织,而且显著降低了药物的副作用。
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引用次数: 3
Variational Iteration Method for Solving a Fuzzy Generalized Pantograph Equation 求解模糊广义受电弓方程的变分迭代法
Pub Date : 1900-01-01 DOI: 10.5899/2014/JFSVA-00196
A. Amiri
A numerical method for solving the fuzzy generalized pantograph equation under fuzzy initial value conditions is presented. This technique provides a sequence of functions which converges to the exact solution to the problem and is based on the use of Lagrange multipliers for identification of optimal value of a parameter in a functional. To display the validity and applicability of the numerical method two illustrative examples are presented.
给出了模糊初值条件下模糊广义受电弓方程的一种数值求解方法。这种技术提供了一个函数序列,它收敛于问题的精确解,并基于拉格朗日乘子的使用来识别函数中参数的最优值。为了说明数值方法的有效性和适用性,给出了两个算例。
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引用次数: 3
Fuzzy multi-item inventory model with time varying stock dependent demand under partial backlogging 部分积压下具有时变库存依赖需求的模糊多项目库存模型
Pub Date : 1900-01-01 DOI: 10.5899/2016/jfsva-00346
S. Islam, Haridas Biswas
In this paper we have formulated a multi-item fuzzy inventory model with stock dependent demand rate and shortages are allowed with partial backlogging. The multi-item inventory model with demand dependent unit cost has been formulated alone with storage space constraints. The partial backlogging rate of unsatisfied demand is assumed to be decreasing exponential function for waiting time. Here the cost parameters, the objective function and constraint are imposed in fuzzy nature. The model has been solved by Fuzzy Goal Programming (FGP) method. Finally the model is expressed by numerical example.
本文建立了一个需求率依赖于库存的多项目模糊库存模型,该模型允许部分积压情况下的短缺。在存储空间约束下,单独建立了需求依赖单位成本的多项目库存模型。假设未满足需求的部分积压率是等待时间的递减指数函数。其中成本参数、目标函数和约束条件具有模糊性。采用模糊目标规划(FGP)方法对模型进行求解。最后通过数值算例对模型进行了说明。
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引用次数: 0
Piecewise Approximation Method for Nth-order Fuzzy Differential Equations n阶模糊微分方程的分段逼近方法
Pub Date : 1900-01-01 DOI: 10.5899/2015/JFSVA-00245
E. Ahmady
In this paper a numerical method for solving n-order fuzzy differential equations is considered. This method which called piecewise approximation method, is obtained by interpolating a polynomial on fuzzy determined values. The proposed method is compared to Allahviranloo's method in [6], and it is shown that this method in more accurate than Allahviranloo's method. The piecewise approximation method is illustrated by a comparative example.
本文研究了求解n阶模糊微分方程的一种数值方法。这种方法称为分段逼近法,是通过对模糊确定值进行多项式插值得到的。将本文提出的方法与Allahviranloo[6]的方法进行了比较,结果表明该方法比Allahviranloo的方法更精确。通过一个比较实例说明了分段逼近法。
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引用次数: 1
Diamond Fuzzy Number 钻石模糊数
Pub Date : 1900-01-01 DOI: 10.5899/2015/JFSVA-00220
T. Pathinathan, K. Ponnivalavan
In this paper we define diamond fuzzy number with the help of triangular fuzzy number. We include basic arithmetic operations like addition, subtraction of diamond fuzzy numbers with examples. We define diamond fuzzy matrix with some matrix properties. We have defined Nested diamond fuzzy number and Linked diamond fuzzy number. We have further classified Right Linked Diamond Fuzzy number and Left Linked Diamond Fuzzy number. Finally we have verified the arithmetic operations for the above mentioned types of Diamond Fuzzy Numbers.
本文利用三角模糊数来定义菱形模糊数。我们包括基本的算术运算,如钻石模糊数的加法,减法和例子。定义了具有若干矩阵性质的菱形模糊矩阵。定义了嵌套模糊数和链接模糊数。我们进一步对右链钻石模糊数和左链钻石模糊数进行了分类。最后,我们验证了上述类型的钻石模糊数的算术运算。
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引用次数: 4
Some Related Fixed Point Theorems for Four Fuzzy Metric Spaces 四个模糊度量空间的不动点定理
Pub Date : 1900-01-01 DOI: 10.5899/2015/JFSVA-00225
D. S. Yadav, S. Thakur, S. S. Thakur
In the present paper, we extend some related fixed point theorems due to Gupta [5] for four fuzzy metric spaces. The results of Gupta are the special cases of the results established in this paper.
本文在四模糊度量空间中推广了一些由Gupta[5]引起的不动点定理。Gupta的结果是本文所建立结果的特例。
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引用次数: 1
Operation of Hybrid Evolutionary Algorithm and Fuzzy Sets for Reliability Optimization of Engineering Systems 工程系统可靠性优化的混合进化算法与模糊集的运行
Pub Date : 1900-01-01 DOI: 10.5899/2015/JFSVA-00255
Mohammad Mohammadi Najafabadi, E. Eslami, Sara Mansouri
This article uses a specific hybrid evolutionary algorithmto solve the series parallel redundancy optimization problem which is in a fuzzy framework. Reliability optimization provides a means to help the reliability engineer achieve such a goal. Most methods of reliability optimization assume that systems have redundancy components in series and /or parallel systems and that alternative designs are available. Optimization concentrates on optimal allocation of redundancy components and optimalselection of alternative designs to meet system requirements. A fuzzy simulation-based evolutionary algorithm is then employed to solve these kinds of fuzzy programming with fuzzy goal and fuzzy constraints. Finally, numerical examples are also given.
本文采用一种特殊的混合进化算法来解决模糊框架下的串并联冗余优化问题。可靠性优化为可靠性工程师实现这一目标提供了一种手段。大多数可靠性优化方法都假定系统在串联和/或并联系统中具有冗余组件,并且存在可用的替代设计。优化集中在冗余组件的最佳配置和备选设计的最佳选择,以满足系统的要求。然后采用基于模糊模拟的进化算法求解这类具有模糊目标和模糊约束的模糊规划问题。最后给出了数值算例。
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引用次数: 0
Correlation Coefficient Between Fuzzy Numbers Based On Central Interval 基于中心区间的模糊数相关系数
Pub Date : 1900-01-01 DOI: 10.5899/2012/JFSVA-00108
S. Rahim, Saneifard Rasoul
When we deal with crisp data, it is very common to find the correlation between variables. Here, we propose a method to calculate the correlation coefficient for fuzzy data, but rather than defining the correlation on the intuitionistic fuzzy sets like most of the previous works, we adopt the method from central interval. This interval can be used as a crisp set approximation with respect to a fuzzy quantity. This indices can be applied for comparison of fuzzy numbers namely fuzzy correlations in fuzzy environments and expert's systems. Finally some of their applications are mentioned.
当我们处理清晰的数据时,发现变量之间的相关性是很常见的。本文提出了一种计算模糊数据相关系数的方法,但不像以往大多数研究那样在直觉模糊集上定义相关性,而是采用中心区间的方法。这个区间可以作为相对于模糊量的一个清晰集近似。该指标可用于模糊数的比较,即模糊环境和专家系统中的模糊关联。最后介绍了它们的一些应用。
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引用次数: 14
期刊
Journal of Fuzzy Set Valued Analysis
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