Journal of Fuzzy Set Valued Analysis最新文献

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Fuzzy-rough set and fuzzy ID3 decision approaches to knowledge discovery in datasets 数据集中知识发现的模糊粗糙集和模糊ID3决策方法
Journal of Fuzzy Set Valued Analysis Pub Date : 1900-01-01 DOI: 10.5899/2012/JFSVA-00118
A. S. Salama, O. G. Elbarbary
{"title":"Fuzzy-rough set and fuzzy ID3 decision approaches to knowledge discovery in datasets","authors":"A. S. Salama, O. G. Elbarbary","doi":"10.5899/2012/JFSVA-00118","DOIUrl":"https://doi.org/10.5899/2012/JFSVA-00118","url":null,"abstract":"Fuzzy rough sets are the generalization of traditional rough sets to deal with both fuzziness and vagueness in data. The existing researches on fuzzy rough sets mainly concentrate on the construction of approximation operators. Less effort has been put on the knowledge discovery in datasets with fuzzy rough sets. This paper mainly focuses on knowledge discovery in datasets with fuzzy rough sets. After analyzing the previous works on knowledge discovery with fuzzy rough sets, we introduce formal concepts of attribute reduction with fuzzy rough sets and completely study the structure of attribute reduction.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"252 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133391592","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}
引用次数: 3
A new method for ranking of fuzzy numbers based on sign distance 基于符号距离的模糊数排序新方法
Journal of Fuzzy Set Valued Analysis Pub Date : 1900-01-01 DOI: 10.5899/2016/jfsva-00275
S. Ziari, R. Ezzati
{"title":"A new method for ranking of fuzzy numbers based on sign distance","authors":"S. Ziari, R. Ezzati","doi":"10.5899/2016/jfsva-00275","DOIUrl":"https://doi.org/10.5899/2016/jfsva-00275","url":null,"abstract":"In this paper, a new approach to rank fuzzy numbers based on sign distance is proposed. Our proposed method is extension of sign distance method and to decrease the set of equivalence callas of fuzzy numbers. Illustrative examples are included to show the advantage of the proposed method.","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":"114231667","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}
引用次数: 0
Dynamical control of accuracy in the fuzzy Runge-Kutta methods to estimate the solution of a fuzzy differential equation 动态控制精度在模糊龙格-库塔法估计一个模糊微分方程的解
Journal of Fuzzy Set Valued Analysis Pub Date : 1900-01-01 DOI: 10.5899/2016/JFSVA-00284
M. A. Araghi, Hasan Barzegar Kelishami
{"title":"Dynamical control of accuracy in the fuzzy Runge-Kutta methods to estimate the solution of a fuzzy differential equation","authors":"M. A. Araghi, Hasan Barzegar Kelishami","doi":"10.5899/2016/JFSVA-00284","DOIUrl":"https://doi.org/10.5899/2016/JFSVA-00284","url":null,"abstract":"In this paper, a reliable scheme is proposed to solve fuzzy differential equations by fuzzy Runge-Kutta method of order $m$. For this purpose, the stochastic arithmetic and CESTAC method are applied to validate the results. In order to implement the C++ codes, the CADNA library is used. In this case, the optimal step size is found. The examples illustrate the efficiency and importance of using the stochastic arithmetic in place of the floating-point arithmetic.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"82 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":"115096898","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}
引用次数: 8
Inherited collocation method for fuzzy differential equations 模糊微分方程的继承搭配法
Journal of Fuzzy Set Valued Analysis Pub Date : 1900-01-01 DOI: 10.5899/2016/JFSVA-00274
M. A. Araghi, A. Fallahzadeh
{"title":"Inherited collocation method for fuzzy differential equations","authors":"M. A. Araghi, A. Fallahzadeh","doi":"10.5899/2016/JFSVA-00274","DOIUrl":"https://doi.org/10.5899/2016/JFSVA-00274","url":null,"abstract":"In this paper, the inherited collocation method is introduced to solve the fuzzy differential equations. For this purpose, the so-called inherited LU factorization of matrices and inherited polynomials are used to decompose the extended crisp matrix obtained from the proposed method easily. The examples show the efficiency and importance of this method.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"119 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":"133731388","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}
引用次数: 1
Row Reduced Echelon Form for Solving Fully Fuzzy System with Unknown Coefficients 求解未知系数全模糊系统的行简化阶梯形
Journal of Fuzzy Set Valued Analysis Pub Date : 1900-01-01 DOI: 10.5899/2014/JFSVA-00193
G. Malkawi, N. Ahmad, H. Ibrahim, Bander Alshmari
{"title":"Row Reduced Echelon Form for Solving Fully Fuzzy System with Unknown Coefficients","authors":"G. Malkawi, N. Ahmad, H. Ibrahim, Bander Alshmari","doi":"10.5899/2014/JFSVA-00193","DOIUrl":"https://doi.org/10.5899/2014/JFSVA-00193","url":null,"abstract":"This study proposes a new method for finding a feasible fuzzy solution in positive Fully Fuzzy Linear System (FFLS), where the coefficients are unknown. The fully fuzzy system is transferred to linear system in order to obtain the solution using row reduced echelon form, thereafter; the crisp solution is restricted in obtaining the positive fuzzy solution. The fuzzy solution of FFLS is included crisp intervals, to assign alternative values of unknown entries of fuzzy numbers. To illustrate the proposed method, numerical examples are solved, where the entries of coefficients are unknown in right or left hand side, to demonstrate the contributions in this study.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"42 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":"133496948","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}
引用次数: 11
On Algebraic Study of Type-2 Fuzzy Finite State Automata 二类模糊有限状态自动机的代数研究
Journal of Fuzzy Set Valued Analysis Pub Date : 1900-01-01 DOI: 10.5899/2017/jfsva-00366
Anupam K. Singh, Saumya Pandey, S. Tiwari
{"title":"On Algebraic Study of Type-2 Fuzzy Finite State Automata","authors":"Anupam K. Singh, Saumya Pandey, S. Tiwari","doi":"10.5899/2017/jfsva-00366","DOIUrl":"https://doi.org/10.5899/2017/jfsva-00366","url":null,"abstract":"Theories of fuzzy sets and type-2 fuzzy sets are powerful mathematical tools for modeling various types of uncertainty. In this paper we introduce the concept of type-2 fuzzy finite state automata and discuss the algebraic study of type-2 fuzzy finite state automata, i.e., to introduce the concept of homomorphisms between two type-2 fuzzy finite state automata, to associate a type-2 fuzzy transformation semigroup with a type-2 fuzzy finite state automata. Finally, we discuss several product of type-2 fuzzy finite state automata and shown that these product is a categorical product.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"271 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":"116619234","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}
引用次数: 0
Fuzzy Generalized Variational Like Inequality problems in Topological Vector Spaces 拓扑向量空间中的模糊广义似变分不等式问题
Journal of Fuzzy Set Valued Analysis Pub Date : 1900-01-01 DOI: 10.5899/2013/JFSVA-00134
M. Ahmad, Salahuddin
{"title":"Fuzzy Generalized Variational Like Inequality problems in Topological Vector Spaces","authors":"M. Ahmad, Salahuddin","doi":"10.5899/2013/JFSVA-00134","DOIUrl":"https://doi.org/10.5899/2013/JFSVA-00134","url":null,"abstract":"This paper is devoted to the existence of solutions for generalized variational like inequalities with fuzzy mappings in topological vector spaces by using a particular form of the generalized KKM-Theorem.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"179 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":"122086922","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}
引用次数: 1
Two hybrid and non-hybrid methods for solving fuzzy integral equations based on Bernoulli polynomials 基于伯努利多项式的模糊积分方程的两种混合和非混合求解方法
Journal of Fuzzy Set Valued Analysis Pub Date : 1900-01-01 DOI: 10.5899/2016/JFSVA-00278
R. Ezzati, S. Sadatrasoul
{"title":"Two hybrid and non-hybrid methods for solving fuzzy integral equations based on Bernoulli polynomials","authors":"R. Ezzati, S. Sadatrasoul","doi":"10.5899/2016/JFSVA-00278","DOIUrl":"https://doi.org/10.5899/2016/JFSVA-00278","url":null,"abstract":"In this paper, our aim is to provide two hybrid and non-hybrid efficient method based on non-orthogonal Bernoulli polynomials to approximate solution of linear fuzzy Fredholm integral equations. At first, using Bernoulli basis polynomials and also combining them with known block-pulse functions, we convert the fuzzy integral equations to two algebraic systems. The convergence and error estimates of the methods is also given. Finally, we present some illustrative examples and compare the numerical computational results to confirm the theoretical topics and demonstrate the convergence rate of the methods.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"9 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":"122260414","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}
引用次数: 5
Operation and ordering of fuzzy sets, and fuzzy set-valued convex mappings 模糊集的运算和排序,模糊集值凸映射
Journal of Fuzzy Set Valued Analysis Pub Date : 1900-01-01 DOI: 10.5899/2014/JFSVA-00202
Masamichi Kon
{"title":"Operation and ordering of fuzzy sets, and fuzzy set-valued convex mappings","authors":"Masamichi Kon","doi":"10.5899/2014/JFSVA-00202","DOIUrl":"https://doi.org/10.5899/2014/JFSVA-00202","url":null,"abstract":"For fuzzy mathematical models using general fuzzy sets rather than fuzzy numbers or fuzzy vectors, operations (addition and scalar multiplication) and orderings of fuzzy sets are needed, and the concept of fuzzy set-valued convex mappings is important. In the present paper, fundamental properties of operations, orderings, and fuzzy set-valued convex mappings for general fuzzy sets are investigated systematically.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"15 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":"125201014","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}
引用次数: 7
A study on numerical solution to hybrid fuzzy fractional differential equations by predictor-corrector method 混合模糊分数阶微分方程数值解的预测校正方法研究
Journal of Fuzzy Set Valued Analysis Pub Date : 1900-01-01 DOI: 10.5899/2016/jfsva-00347
D. Vivek, K. Kanagarajan, S. Harikrishnan
{"title":"A study on numerical solution to hybrid fuzzy fractional differential equations by predictor-corrector method","authors":"D. Vivek, K. Kanagarajan, S. Harikrishnan","doi":"10.5899/2016/jfsva-00347","DOIUrl":"https://doi.org/10.5899/2016/jfsva-00347","url":null,"abstract":"In this paper, we develop a framework to obtain approximate analytical solutions to hybrid fuzzy fractional initial value problem [HFFIVP] using fractional predictor-corrector method. Characterization theorem and convergent results are proved. We include some examples to verify the method applicability.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"38 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":"127395490","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}
引用次数: 1
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