Pub Date : 1900-01-01DOI: 10.5899/2012/JFSVA-00126
M. Ghanbari
Fuzzy differential equations are used in modeling problems in science and engineering. For instance, it is known that the knowledge of dynamical systems modeled by ordinary differential equations is often incomplete or vague. While, fuzzy differential equations represent a proper way to model dynamical systems under uncertainty and vagueness. In this paper, two methods for solving first order linear fuzzy differential equations under generalized differentiability are proposed and compared. These methods are variational iteration method (VIM) and Adomian decomposition method (ADM). The comparison of the exact solutions with solutions obtained by VIM and ADM are in details. The comparison shows that solutions are excellent agreement.
{"title":"Solution of the first order linear fuzzy differential equations by some reliable methods","authors":"M. Ghanbari","doi":"10.5899/2012/JFSVA-00126","DOIUrl":"https://doi.org/10.5899/2012/JFSVA-00126","url":null,"abstract":"Fuzzy differential equations are used in modeling problems in science and engineering. For instance, it is known that the knowledge of dynamical systems modeled by ordinary differential equations is often incomplete or vague. While, fuzzy differential equations represent a proper way to model dynamical systems under uncertainty and vagueness. In this paper, two methods for solving first order linear fuzzy differential equations under generalized differentiability are proposed and compared. These methods are variational iteration method (VIM) and Adomian decomposition method (ADM). The comparison of the exact solutions with solutions obtained by VIM and ADM are in details. The comparison shows that solutions are excellent agreement.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"145 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":"129743501","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-00399
Soheyb Milles, L. Zedam, E. Rak
In a recent paper, Thomas and Nair have introduced the notions of intuitionistic fuzzy ideal and intuitionistic fuzzy filter on a lattice and some basic properties were proved. In this paper, we characterize these notions in terms of the lattice operations and in terms of their associated crisp sets. We introduce the notions of prime intuitionistic fuzzy ideal and filter as interesting kinds, and then we investigate their various characterizations and different properties.
{"title":"Characterizations of intuitionistic fuzzy ideals and filters based on lattice operations","authors":"Soheyb Milles, L. Zedam, E. Rak","doi":"10.5899/2017/JFSVA-00399","DOIUrl":"https://doi.org/10.5899/2017/JFSVA-00399","url":null,"abstract":"In a recent paper, Thomas and Nair have introduced the notions of intuitionistic fuzzy ideal and intuitionistic fuzzy filter on a lattice and some basic properties were proved. In this paper, we characterize these notions in terms of the lattice operations and in terms of their associated crisp sets. We introduce the notions of prime intuitionistic fuzzy ideal and filter as interesting kinds, and then we investigate their various characterizations and different properties.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"80 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":"126323842","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-00254
Basheer Ahamed Mohideen
This paper introduces a strong interval-valued fuzzy graph, a regular interval-valued fuzzy graph, a semiregular interval-valued fuzzy graph, and a semicomplete interval-valued fuzzy graph. Further, this paper presents some results related to these notions.
{"title":"Strong and regular interval-valued fuzzy graphs","authors":"Basheer Ahamed Mohideen","doi":"10.5899/2015/JFSVA-00254","DOIUrl":"https://doi.org/10.5899/2015/JFSVA-00254","url":null,"abstract":"This paper introduces a strong interval-valued fuzzy graph, a regular interval-valued fuzzy graph, a semiregular interval-valued fuzzy graph, and a semicomplete interval-valued fuzzy graph. Further, this paper presents some results related to these notions.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"141 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":"122726976","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-00051
S. Rahim, Saneifard Rasoul
In this paper, the researchers proposed a new method to rank fuzzy numbers by median value of fuzzy numbers. The median value can be used as a crisp approximation with respect to a fuzzy quantity. Therefore, a method for ordering the fuzzy numbers is defined accordingly. This method can effectively rank various fuzzy numbers, their images and overcome the shortcomings of the previous techniques.
{"title":"THE MEDIAN VALUE OF FUZZY NUMBERS AND ITS APPLICATIONS IN DECISION MAKING","authors":"S. Rahim, Saneifard Rasoul","doi":"10.5899/2012/JFSVA-00051","DOIUrl":"https://doi.org/10.5899/2012/JFSVA-00051","url":null,"abstract":"In this paper, the researchers proposed a new method to rank fuzzy numbers by median value of fuzzy numbers. The median value can be used as a crisp approximation with respect to a fuzzy quantity. Therefore, a method for ordering the fuzzy numbers is defined accordingly. This method can effectively rank various fuzzy numbers, their images and overcome the shortcomings of the previous techniques.","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":"115780448","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-00396
G. Hesamian, M. Akbari
{"title":"Intuitionistic Fuzzy Probability of an Event","authors":"G. Hesamian, M. Akbari","doi":"10.5899/2018/jfsva-00396","DOIUrl":"https://doi.org/10.5899/2018/jfsva-00396","url":null,"abstract":"","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":"127046978","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-00272
R. Firouzdor, M. Amirfakhrian, R. Salehi, S. Asari
In this paper a numerical algorithm for solving a fuzzy linear system of equations (FLS) is considered. This system would be changed into an optimazition problem which is based on Particle Swarm obtimization (PSO) algorithm. The efficiency of algorithm is illustrated by some numerical examples.
{"title":"Numerical solution of a fuzzy linear system by using PSO method","authors":"R. Firouzdor, M. Amirfakhrian, R. Salehi, S. Asari","doi":"10.5899/2016/JFSVA-00272","DOIUrl":"https://doi.org/10.5899/2016/JFSVA-00272","url":null,"abstract":"In this paper a numerical algorithm for solving a fuzzy linear system of equations (FLS) is considered. This system would be changed into an optimazition problem which is based on Particle Swarm obtimization (PSO) algorithm. The efficiency of algorithm is illustrated by some numerical examples.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"36 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":"124203612","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-00222
T. Pathinathan, J. J. Rosline
The relationships between different types of arcs in both regular and totally regular fuzzy graphs are analyzed in this paper. In these categories, the crisp graph obtained is nothing but a cycle. A characterization of totally regular fuzzy graph is obtained using arcs.
{"title":"Characterization of Fuzzy Graphs into different categories using Arcs in Fuzzy Graphs","authors":"T. Pathinathan, J. J. Rosline","doi":"10.5899/2014/JFSVA-00222","DOIUrl":"https://doi.org/10.5899/2014/JFSVA-00222","url":null,"abstract":"The relationships between different types of arcs in both regular and totally regular fuzzy graphs are analyzed in this paper. In these categories, the crisp graph obtained is nothing but a cycle. A characterization of totally regular fuzzy graph is obtained using arcs.","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":"117149333","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-00277
M. Lotfi, S. Salahshour, F. N. Esfahani, A. Jafarnejad
In this paper, we propose a novel approach for constructing a preference fuzzy distance measure. For this purpose, we propose a new and effective preference ordering based on the Abbasbandy and Hajjari's approach [2].
{"title":"A new approach for ranking fuzzy numbers","authors":"M. Lotfi, S. Salahshour, F. N. Esfahani, A. Jafarnejad","doi":"10.5899/2016/JFSVA-00277","DOIUrl":"https://doi.org/10.5899/2016/JFSVA-00277","url":null,"abstract":"In this paper, we propose a novel approach for constructing a preference fuzzy distance measure. For this purpose, we propose a new and effective preference ordering based on the Abbasbandy and Hajjari's approach [2].","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"76 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":"124773690","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: 10.5899/2011/JFSVA-00043
S. Salahshour
In this paper, the multiple solutions of Nth-order fuzzy differential equations by the equivalent integral forms are considered. Also, an Existence and uniqueness theorem of solution of Nth-order fuzzy differential equations is proved under Nth-order generalized differentiability in Banach space.
{"title":"Nth-order Fuzzy Differential Equations Under Generalized Differentiability","authors":"S. Salahshour","doi":"10.5899/2011/JFSVA-00043","DOIUrl":"https://doi.org/10.5899/2011/JFSVA-00043","url":null,"abstract":"In this paper, the multiple solutions of Nth-order fuzzy differential equations by the equivalent integral forms are considered. Also, an Existence and uniqueness theorem of solution of Nth-order fuzzy differential equations is proved under Nth-order generalized differentiability in Banach space.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"18 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":"124849085","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-00285
A. K. Dizicheh, S. Salahshour, F. Ismail, A. Hosseini
In this paper, we firstly introduce system of first order fuzzy differential equations. Then, we convert the problem to two crisp systems of first order differential equations. For numerical aspects, we apply exponentially fitted Runge Kutta method to solve the fuzzy problems. We solve some well-known examples in order to demonstrate the applicability and accuracy of results.
{"title":"On new solutions of linear system of first -order fuzzy differential equations with fuzzy coefficient","authors":"A. K. Dizicheh, S. Salahshour, F. Ismail, A. Hosseini","doi":"10.5899/2016/JFSVA-00285","DOIUrl":"https://doi.org/10.5899/2016/JFSVA-00285","url":null,"abstract":"In this paper, we firstly introduce system of first order fuzzy differential equations. Then, we convert the problem to two crisp systems of first order differential equations. For numerical aspects, we apply exponentially fitted Runge Kutta method to solve the fuzzy problems. We solve some well-known examples in order to demonstrate the applicability and accuracy of results.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"46 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":"123303959","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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