Pub Date : 1900-01-01DOI: 10.5899/2016/JFSVA-00342
A. P. Singh, S. Tiwari
The aim of this research work is to introduce and study the lattice $F-$transform for functions in two variables. The study of such $F-$transform is based on generalized fuzzy partition (not necessarily finite) of the universe.
{"title":"Lattice $F$-transform for functions in two variables","authors":"A. P. Singh, S. Tiwari","doi":"10.5899/2016/JFSVA-00342","DOIUrl":"https://doi.org/10.5899/2016/JFSVA-00342","url":null,"abstract":"The aim of this research work is to introduce and study the lattice $F-$transform for functions in two variables. The study of such $F-$transform is based on generalized fuzzy partition (not necessarily finite) of the universe.","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":"125861466","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: 10.5899/2013/JFSVA-00128
R. Saneifard, G. Sameei
In the present paper, the researchers discuss the problem of weighted expected interval approximation of fuzzy numbers. This interval can be used as a crisp approximation set with respect to a fuzzy quantity. Then, by using this, the researchers propose a novel approach to ranking fuzzy numbers. The proposed model is studied for a broad class of fuzzy numbers. The calculation of this method is far simpler than the other approaches.
{"title":"On The Optimal Index for Comparison fuzzy Quantities Based On Weighted Expected Interval","authors":"R. Saneifard, G. Sameei","doi":"10.5899/2013/JFSVA-00128","DOIUrl":"https://doi.org/10.5899/2013/JFSVA-00128","url":null,"abstract":"In the present paper, the researchers discuss the problem of weighted expected interval approximation of fuzzy numbers. This interval can be used as a crisp approximation set with respect to a fuzzy quantity. Then, by using this, the researchers propose a novel approach to ranking fuzzy numbers. The proposed model is studied for a broad class of fuzzy numbers. The calculation of this method is far simpler than the other approaches.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"27 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":"125979150","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: 10.5899/2013/JFSVA-00171
U. Kadak
In this paper, we construct the sets of bounded and continuous fuzzy-valued functions with the level sets. We investigate the relationships between these sets and their classical forms and give some properties including definitions, propositions and various kind of fuzzy distance functions. Furthermore, we study some of their properties like completeness, uniform convergence and differentiation and present two illustrative examples related to the complete and non-complete fuzzy metric spaces.
{"title":"On the sets of fuzzy-valued function with the level sets","authors":"U. Kadak","doi":"10.5899/2013/JFSVA-00171","DOIUrl":"https://doi.org/10.5899/2013/JFSVA-00171","url":null,"abstract":"In this paper, we construct the sets of bounded and continuous fuzzy-valued functions with the level sets. We investigate the relationships between these sets and their classical forms and give some properties including definitions, propositions and various kind of fuzzy distance functions. Furthermore, we study some of their properties like completeness, uniform convergence and differentiation and present two illustrative examples related to the complete and non-complete fuzzy metric 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":"127110099","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: 10.5899/2015/JFSVA-00241
Hakeem A. Othman
This paper is devoted to introduce and investigate some weak forms of fuzzy open mappings, namely fuzzy faintly semi open (fuzzy faintly semi closed), fuzzy faintly preopen (fuzzy faintly preclosed), fuzzy faintly $alpha$-open (fuzzy faintly $alpha$-closed), fuzzy faintly semi preopen (fuzzy faintly semi preclosed) and fuzzy faintly $sp$- open (fuzzy faintly $sp$- closed) mappings and their fundamental properties are obtained. Moreover, their relationship with other types of fuzzy open (closed) mappings are discussed.
{"title":"Some Weaker Forms of Fuzzy Faintly Open Mappings","authors":"Hakeem A. Othman","doi":"10.5899/2015/JFSVA-00241","DOIUrl":"https://doi.org/10.5899/2015/JFSVA-00241","url":null,"abstract":"This paper is devoted to introduce and investigate some weak forms of fuzzy open mappings, namely fuzzy faintly semi open (fuzzy faintly semi closed), fuzzy faintly preopen (fuzzy faintly preclosed), fuzzy faintly $alpha$-open (fuzzy faintly $alpha$-closed), fuzzy faintly semi preopen (fuzzy faintly semi preclosed) and fuzzy faintly $sp$- open (fuzzy faintly $sp$- closed) mappings and their fundamental properties are obtained. Moreover, their relationship with other types of fuzzy open (closed) mappings are discussed.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"29 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":"131391311","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: 10.5899/2012/JFSVA-00136
L. Jamshidi, L. Avazpour
In this paper, we apply the shooting method for solving the Fuzzy Boundary Value Differential Equations (FBVDEs) of the second order under generalized differentiability. By this method an FBVDE of the second order will be replaced with two fuzzy initial value differential equations and the answers of each of them are obtained by the Adomian method. Finally via linear combination of their solutions, the fuzzy solution will be obtained.
{"title":"Solution of the Fuzzy Boundary Value Differential Equations Under Generalized Differentiability By Shooting Method","authors":"L. Jamshidi, L. Avazpour","doi":"10.5899/2012/JFSVA-00136","DOIUrl":"https://doi.org/10.5899/2012/JFSVA-00136","url":null,"abstract":"In this paper, we apply the shooting method for solving the Fuzzy Boundary Value Differential Equations (FBVDEs) of the second order under generalized differentiability. By this method an FBVDE of the second order will be replaced with two fuzzy initial value differential equations and the answers of each of them are obtained by the Adomian method. Finally via linear combination of their solutions, the fuzzy solution will be obtained.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"12 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":"131285243","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: 10.5899/2012/JFSVA-00129
Naval Singh, R. Jain
In this paper, we define the tangential property and the generalized coincidence property for a pair of set-valued and single-valued mappings and use it to prove some coupled coincidence and common fixed point theorems for a hybrid pair of mappings without appeal to the completeness of the underlying space.
{"title":"Coupled Coincidence and Common Fixed Point Theorems for Set-valued and Single-valued Mappings in fuzzy Metric Space","authors":"Naval Singh, R. Jain","doi":"10.5899/2012/JFSVA-00129","DOIUrl":"https://doi.org/10.5899/2012/JFSVA-00129","url":null,"abstract":"In this paper, we define the tangential property and the generalized coincidence property for a pair of set-valued and single-valued mappings and use it to prove some coupled coincidence and common fixed point theorems for a hybrid pair of mappings without appeal to the completeness of the underlying space.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"25 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":"126462168","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-00402
S. Nayak, S. Chakraverty
{"title":"Non-probabilistic solution of moving plate problem with uncertain parameters","authors":"S. Nayak, S. Chakraverty","doi":"10.5899/2018/jfsva-00402","DOIUrl":"https://doi.org/10.5899/2018/jfsva-00402","url":null,"abstract":"","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"224 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120942401","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: 10.5899/2019/jfsva-00465
Md. Aman Mahbub, Md. Sahadat Hossain, M. A. Hossain
The purpose of this paper is to establish the compactness in intuitionistic fuzzy topological space. In this paper we give four new notionsof separation axioms and one notions of locally compactness in intuitionistic fuzzy topological space. Also, we discuss separation axioms in intuitionistic fuzzy compactness and some of its features. Further, we investigate the behavior of intuitionistic fuzzy compactness under several types of fuzzy separation axioms.
{"title":"Separation Axioms in Intuitionistic Fuzzy Compact Topological Spaces","authors":"Md. Aman Mahbub, Md. Sahadat Hossain, M. A. Hossain","doi":"10.5899/2019/jfsva-00465","DOIUrl":"https://doi.org/10.5899/2019/jfsva-00465","url":null,"abstract":"The purpose of this paper is to establish the compactness in intuitionistic fuzzy topological space. In this paper we give four new notionsof separation axioms and one notions of locally compactness in intuitionistic fuzzy topological space. Also, we discuss separation axioms in intuitionistic fuzzy compactness and some of its features. Further, we investigate the behavior of intuitionistic fuzzy compactness under several types of fuzzy separation axioms.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"8 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":"121093453","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-00268
Pavel Vlasánek, I. Perfilieva
In the proposed contribution, we have discussed the usefulness of the higher degree $F^p$-transforms, $p=0,1$, for various tasks of image processing. We show that an image can be efficiently represented as a matrix of its F-transform components. We analyze the details and discuss advantages of this type of representation. We show that in a particular case, components of the $F^0$-transform can be obtained with the help of the operation of convolution, and components of the $F^1$-transform can be obtained with the help of convolution with three different kernels. We give image illustrations of all made assertions.
{"title":"The F-transform in Terms of Image Processing Tools","authors":"Pavel Vlasánek, I. Perfilieva","doi":"10.5899/2016/JFSVA-00268","DOIUrl":"https://doi.org/10.5899/2016/JFSVA-00268","url":null,"abstract":"In the proposed contribution, we have discussed the usefulness of the higher degree $F^p$-transforms, $p=0,1$, for various tasks of image processing. We show that an image can be efficiently represented as a matrix of its F-transform components. We analyze the details and discuss advantages of this type of representation. We show that in a particular case, components of the $F^0$-transform can be obtained with the help of the operation of convolution, and components of the $F^1$-transform can be obtained with the help of convolution with three different kernels. We give image illustrations of all made assertions.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"64 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":"131004132","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: 10.5899/2015/JFSVA-00236
M. Chehlabi
Fuzzy polynomial equations ($FPEs$) don't have algebraic solutions, generally. In this paper, we first, express and prove some relationships between Husdroof meter and length function on classes of triangular fuzzy numbers. We appraise the behavior of fuzzy polynomials by using the length function properties. Next, we transform a $FPE$ into a generalized fuzzy polynomial equation ($GFPE$) and introduce generalized solutions and minimal generalized solutions concepts of $FPEs$. Finding minimal generalized solutions are discussed theoretically, in details. Finally, some numerical examples are given, illustrating our results.
{"title":"Minimal generalized solutions of fuzzy polynomial equations","authors":"M. Chehlabi","doi":"10.5899/2015/JFSVA-00236","DOIUrl":"https://doi.org/10.5899/2015/JFSVA-00236","url":null,"abstract":"Fuzzy polynomial equations ($FPEs$) don't have algebraic solutions, generally. In this paper, we first, express and prove some relationships between Husdroof meter and length function on classes of triangular fuzzy numbers. We appraise the behavior of fuzzy polynomials by using the length function properties. Next, we transform a $FPE$ into a generalized fuzzy polynomial equation ($GFPE$) and introduce generalized solutions and minimal generalized solutions concepts of $FPEs$. Finding minimal generalized solutions are discussed theoretically, in details. Finally, some numerical examples are given, illustrating our results.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"26 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":"133694156","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：