Pub Date : 1900-01-01DOI: 10.5899/2017/JFSVA-00383
S. Noeiaghdam, M. A. Araghi
The aim of this work, is to evaluate the value of a fuzzy integral by applying the Newton-Cotes integration rules via a reliable scheme. In order to perform the numerical examples, the CADNA (Control of Accuracy and Debugging for Numerical Applications) library and the CESTAC (Controle et Estimation Stochastique des Arrondis de Calculs) method are applied based on the stochastic arithmetic. By using this method, the optimal number of points in the fuzzy numerical integration rules and the optimal approximate solution are obtained. Also, the accuracy of the fuzzy quadrature rules are discussed. An algorithm is given to illustrate the implementation of the method. In this case, the termination criterion is considered as the Hausdorff distance between two sequential results to be an informatical zero. Two sample fuzzy integrals are evaluated based on the proposed algorithm to show the importance and advantage of using the stochastic arithmetic in place of the floating-point arithmetic.
本工作的目的是通过可靠的格式，应用牛顿-柯特积分规则来评估模糊积分的值。为了进行数值算例，采用了基于随机算法的CADNA (Control of Accuracy and Debugging for numerical Applications)库和CESTAC (Control et Estimation Stochastique des Arrondis de Calculs)方法。利用该方法，得到了模糊数值积分规则的最优点数和最优近似解。同时，讨论了模糊正交规则的准确性。给出了一种算法来说明该方法的实现。在这种情况下，终止准则被认为是两个连续结果之间的豪斯多夫距离为信息零。在此基础上对两个样本模糊积分进行了计算，说明了用随机算法代替浮点算法的重要性和优越性。
{"title":"Finding optimal step of fuzzy Newton-Cotes integration rules by using the CESTAC method","authors":"S. Noeiaghdam, M. A. Araghi","doi":"10.5899/2017/JFSVA-00383","DOIUrl":"https://doi.org/10.5899/2017/JFSVA-00383","url":null,"abstract":"The aim of this work, is to evaluate the value of a fuzzy integral by applying the Newton-Cotes integration rules via a reliable scheme. In order to perform the numerical examples, the CADNA (Control of Accuracy and Debugging for Numerical Applications) library and the CESTAC (Controle et Estimation Stochastique des Arrondis de Calculs) method are applied based on the stochastic arithmetic. By using this method, the optimal number of points in the fuzzy numerical integration rules and the optimal approximate solution are obtained. Also, the accuracy of the fuzzy quadrature rules are discussed. An algorithm is given to illustrate the implementation of the method. In this case, the termination criterion is considered as the Hausdorff distance between two sequential results to be an informatical zero. Two sample fuzzy integrals are evaluated based on the proposed algorithm to show the importance and advantage of using the stochastic arithmetic in place of the floating-point arithmetic.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"72 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121174129","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.5899/2018/jfsva-00426
R. Islam, M. Hossain, R. Amin
This paper introduces five notions of intuitionistic LT0 spaces and establishes some relation among them. It also proves that all of these notions satisfy ‘good extension’ and ‘hereditary’ property. Finally it observes that all concepts are preserved under one-one, onto and continuous mapping.
{"title":"Some Properties of Intuitionistic $L- T_{0}$ Spaces","authors":"R. Islam, M. Hossain, R. Amin","doi":"10.5899/2018/jfsva-00426","DOIUrl":"https://doi.org/10.5899/2018/jfsva-00426","url":null,"abstract":"This paper introduces five notions of intuitionistic LT0 spaces and establishes some relation among them. It also proves that all of these notions satisfy ‘good extension’ and ‘hereditary’ property. Finally it observes that all concepts are preserved under one-one, onto and continuous mapping.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121461636","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.5899/2016/JFSVA-00288
N. Ghadimi, M. Keshavarz
Riccati differential equation is an important equation, in many fields of engineering and applied sciences, so recently lots of methods have been proposed to solve this equation. Haar Wavelet operational matrix,is one of the effective methods to solve this equation, that is very simple and easy, compared to other orders. In this paper, we want to solve the nonlinear riccati differential equation in interval initial condition. first we simplify it by using the block pulse function to expand the Haar wavelet one. we have three cases for each interval, but now it can be solved for positive interval Haar coefficients. The results reveal that the proposed method is very effective and simple.
{"title":"Solving the Interval Riccati differential equation by Wavelet operational matrix method","authors":"N. Ghadimi, M. Keshavarz","doi":"10.5899/2016/JFSVA-00288","DOIUrl":"https://doi.org/10.5899/2016/JFSVA-00288","url":null,"abstract":"Riccati differential equation is an important equation, in many fields of engineering and applied sciences, so recently lots of methods have been proposed to solve this equation. Haar Wavelet operational matrix,is one of the effective methods to solve this equation, that is very simple and easy, compared to other orders. In this paper, we want to solve the nonlinear riccati differential equation in interval initial condition. first we simplify it by using the block pulse function to expand the Haar wavelet one. we have three cases for each interval, but now it can be solved for positive interval Haar coefficients. The results reveal that the proposed method is very effective and simple.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129318949","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.5899/2017/jfsva-00378
Reza Novin, M. A. Araghi, M. Amirfakhrian
In processing indecisive or unclear information, the advantages of fuzzy logic and neurocomputing disciplines should be taken into account and combined by fuzzy neural networks. The current research intends to present a fuzzy modeling method using multi-layer fuzzy neural networks for solving a fully fuzzy polynomials system. To clarify the point, it is necessary to inform that a supervised gradient descent-based learning law is employed. The feasibility of the method is examined using computer simulations on a numerical example. The experimental results obtained from the investigation of the proposed method are valid and delivers very good approximation results.
{"title":"Application of ANNs approach for solving fully fuzzy polynomials system","authors":"Reza Novin, M. A. Araghi, M. Amirfakhrian","doi":"10.5899/2017/jfsva-00378","DOIUrl":"https://doi.org/10.5899/2017/jfsva-00378","url":null,"abstract":"In processing indecisive or unclear information, the advantages of fuzzy logic and neurocomputing disciplines should be taken into account and combined by fuzzy neural networks. The current research intends to present a fuzzy modeling method using multi-layer fuzzy neural networks for solving a fully fuzzy polynomials system. To clarify the point, it is necessary to inform that a supervised gradient descent-based learning law is employed. The feasibility of the method is examined using computer simulations on a numerical example. The experimental results obtained from the investigation of the proposed method are valid and delivers very good approximation results.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"36 3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116661346","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.5899/2014/JFSVA-00161
T. Allahviranloo, M. Ghanbari, R. Nuraei
Recently, fuzzy integral equations have attracted some interest. In this paper, we focus on linear fuzzy Volterra integral equation of the second kind (FVIE-2) and propose a new method for numerical solving it. In fact, using parametric form of fuzzy numbers we convert a linear fuzzy Volterra integral equation of the second kind to a linear system of Volterra integral equations of the second kind in crisp case. We use variational iteration method (VIM) and find the approximate solution of this system and hence obtain an approximation for fuzzy solution of the linear fuzzy Volterra integral equation of the second kind. Finally, using the proposed method, we give some illustrative examples.
{"title":"An application of a semi-analytical method on linear fuzzy Volterra integral equations","authors":"T. Allahviranloo, M. Ghanbari, R. Nuraei","doi":"10.5899/2014/JFSVA-00161","DOIUrl":"https://doi.org/10.5899/2014/JFSVA-00161","url":null,"abstract":"Recently, fuzzy integral equations have attracted some interest. In this paper, we focus on linear fuzzy Volterra integral equation of the second kind (FVIE-2) and propose a new method for numerical solving it. In fact, using parametric form of fuzzy numbers we convert a linear fuzzy Volterra integral equation of the second kind to a linear system of Volterra integral equations of the second kind in crisp case. We use variational iteration method (VIM) and find the approximate solution of this system and hence obtain an approximation for fuzzy solution of the linear fuzzy Volterra integral equation of the second kind. Finally, using the proposed method, we give some illustrative examples.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"214 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116755701","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.5899/2016/JFSVA-00308
Tanmay Kundu, S. Islam
This paper presents a multi-objective reliability optimization model taking system reliability and cost of a series system as objective functions. Due to the vagueness of judgements of the decision maker, the objective as well as constraint goal can involve many uncertain factor and other imprecise parameters with vague in nature in a reliability optimization model. Thus the model is formulated in fuzzy environment by considering cost coefficients and the exponential factor as triangular fuzzy number. Here, the nearest interval approximation method is applied to make the fuzzy model in crisp in nature. There are two types of parametric geometric programming technique is used to solve the proposed model. The performance of these two types of solution approach is evaluated by numerical example at the end of this paper.
{"title":"Multi-objective Fuzzy Reliability Optimization Model: A Parametric Geometric Programming Approach","authors":"Tanmay Kundu, S. Islam","doi":"10.5899/2016/JFSVA-00308","DOIUrl":"https://doi.org/10.5899/2016/JFSVA-00308","url":null,"abstract":"This paper presents a multi-objective reliability optimization model taking system reliability and cost of a series system as objective functions. Due to the vagueness of judgements of the decision maker, the objective as well as constraint goal can involve many uncertain factor and other imprecise parameters with vague in nature in a reliability optimization model. Thus the model is formulated in fuzzy environment by considering cost coefficients and the exponential factor as triangular fuzzy number. Here, the nearest interval approximation method is applied to make the fuzzy model in crisp in nature. There are two types of parametric geometric programming technique is used to solve the proposed model. The performance of these two types of solution approach is evaluated by numerical example at the end of this paper.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"105 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117201184","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.5899/2018/JFSVA-00427
D. Stephen Dinagar, U. Narayanan
Fuzzy matrices play an important role to model several uncertain systems. In this paper, we define two norms namely ‘sup norm’ and ‘operator norm’ of L-R Hexagonal fuzzy matrix (L-R HFM). We also relate the norm of L-R HFM in the distance d(?̂?LR , ?̂?LR). An analytical concept of power series and invertibility under the norm of L-R HFM have been studied. Some of the relevant properties, theorems based on the norms are investigated.
{"title":"A Note on L-R Hexagonal Fuzzy Matrices with Matrix Norm","authors":"D. Stephen Dinagar, U. Narayanan","doi":"10.5899/2018/JFSVA-00427","DOIUrl":"https://doi.org/10.5899/2018/JFSVA-00427","url":null,"abstract":"Fuzzy matrices play an important role to model several uncertain systems. In this paper, we define two norms namely ‘sup norm’ and ‘operator norm’ of L-R Hexagonal fuzzy matrix (L-R HFM). We also relate the norm of L-R HFM in the distance d(?̂?LR , ?̂?LR). An analytical concept of power series and invertibility under the norm of L-R HFM have been studied. Some of the relevant properties, theorems based on the norms are investigated.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117208846","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.5899/2016/JFSVA-00345
H. Goudarzi
In this paper, first we introduce some aspects of approximate fixed points, such as approximate fixed point property for subsets of a fuzzy Banach space and approximate eigenvalues of a self mapping on a fuzzy normed space. Then as their consequences, we prove more results for Fixed Point Theory on Fuzzy Banach and Banach Spaces.
{"title":"Some results of approximate fixed points in fuzzy Banach spaces","authors":"H. Goudarzi","doi":"10.5899/2016/JFSVA-00345","DOIUrl":"https://doi.org/10.5899/2016/JFSVA-00345","url":null,"abstract":"In this paper, first we introduce some aspects of approximate fixed points, such as approximate fixed point property for subsets of a fuzzy Banach space and approximate eigenvalues of a self mapping on a fuzzy normed space. Then as their consequences, we prove more results for Fixed Point Theory on Fuzzy Banach and Banach Spaces.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114298806","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.5899/2016/JFSVA-00259
M. Shahriari, N. Pilevari, Farzad Ghassemi Ostad
One of the basic purposes in developing countries had been reduction of their technological gap in different eras. So, technology transfer in developing countries has become one of the key factors of economic growth. But technology transfer is a difficult and complex process, so it can be unsuccessful and may waste time and money or undermine the national technology if performed without enough considering and study. Therefore, according to high ability of interior experts and scientists and country's condition to have a successful technology transfer, Reverse Engineering is used as an effective factor. In this paper supporting 15 experts and using Fuzzy Delphi Method, the effective factors on success of technology transfer by reverse engineering in aviation engines industry will be recognized and then prioritized by members of statistical sample and Analytical Network Process (ANP). Finally, we will have three components, technical knowledge for redesign, technical knowledge for producing, and organizational association with original country that are the most important among the other ten selected components.
{"title":"Prioritizing the Factors Influencing the Success of Technology Transfer by Reverse Engineering Case Study: Aviation Engines Industry","authors":"M. Shahriari, N. Pilevari, Farzad Ghassemi Ostad","doi":"10.5899/2016/JFSVA-00259","DOIUrl":"https://doi.org/10.5899/2016/JFSVA-00259","url":null,"abstract":"One of the basic purposes in developing countries had been reduction of their technological gap in different eras. So, technology transfer in developing countries has become one of the key factors of economic growth. But technology transfer is a difficult and complex process, so it can be unsuccessful and may waste time and money or undermine the national technology if performed without enough considering and study. Therefore, according to high ability of interior experts and scientists and country's condition to have a successful technology transfer, Reverse Engineering is used as an effective factor. In this paper supporting 15 experts and using Fuzzy Delphi Method, the effective factors on success of technology transfer by reverse engineering in aviation engines industry will be recognized and then prioritized by members of statistical sample and Analytical Network Process (ANP). Finally, we will have three components, technical knowledge for redesign, technical knowledge for producing, and organizational association with original country that are the most important among the other ten selected components.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127407810","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.5899/2016/JFSVA-00280
M. Dirbaz, F. Dirbaz
In this paper we present numerical solution of first order impulsive fuzzy differential equation by modified Euler's method for the first time. The algorithm is discussed in detail and the result of the numerical solution is given by solving the numerical example and the graph is plotted finally.
{"title":"Numerical Solution of Impulsive Fuzzy Initial Value Problem by Modified Euler's Method","authors":"M. Dirbaz, F. Dirbaz","doi":"10.5899/2016/JFSVA-00280","DOIUrl":"https://doi.org/10.5899/2016/JFSVA-00280","url":null,"abstract":"In this paper we present numerical solution of first order impulsive fuzzy differential equation by modified Euler's method for the first time. The algorithm is discussed in detail and the result of the numerical solution is given by solving the numerical example and the graph is plotted finally.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125344369","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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