Pub Date : 2012-05-01DOI: 10.5899/2012/JFSVA-00107
Amit Kumar, Neha Bhtia
The fuzzy set theory is being applied massively in many fields these days. One of these is linear programming problems. Upto best of our knowledge, in literature, sensitivity analysis for FVLP (Fuzzy Variable Linear Programming) problem has never been treated using ranking function. In this paper the sensitivity analysis for FVLP problems is studied using ranking function. Purpose is to introduce a simpler and convenient way to tackle the sensitivity analysis for FVLP problems. At the end it is shown that if in a FVLP problem both 'cost' and 'decision variables' are fuzzy numbers, then accuracy upto only rank can be obtained.
{"title":"Strict Sensitivity Analysis for Fuzzy Linear Programming Problem","authors":"Amit Kumar, Neha Bhtia","doi":"10.5899/2012/JFSVA-00107","DOIUrl":"https://doi.org/10.5899/2012/JFSVA-00107","url":null,"abstract":"The fuzzy set theory is being applied massively in many fields these days. One of these is linear programming problems. Upto best of our knowledge, in literature, sensitivity analysis for FVLP (Fuzzy Variable Linear Programming) problem has never been treated using ranking function. In this paper the sensitivity analysis for FVLP problems is studied using ranking function. Purpose is to introduce a simpler and convenient way to tackle the sensitivity analysis for FVLP problems. At the end it is shown that if in a FVLP problem both 'cost' and 'decision variables' are fuzzy numbers, then accuracy upto only rank can be obtained.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130959522","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 : 2012-04-01DOI: 10.5899/2012/JFSVA-00112
G. Panda, S. Jaiswal
The concept of duality plays an important role in optimization theory. This paper discusses some relations between primal and dual nonlinear programming problems in fuzzy environment. Here, fuzzy feasible region for a general fuzzy nonlinear programming is formed and the concept of fuzzy feasible solution is defined. First order dual relation for fuzzy nonlinear programming problem is studied.
{"title":"Some Duality Results for Fuzzy Nonlinear Programming Problem","authors":"G. Panda, S. Jaiswal","doi":"10.5899/2012/JFSVA-00112","DOIUrl":"https://doi.org/10.5899/2012/JFSVA-00112","url":null,"abstract":"The concept of duality plays an important role in optimization theory. This paper discusses some relations between primal and dual nonlinear programming problems in fuzzy environment. Here, fuzzy feasible region for a general fuzzy nonlinear programming is formed and the concept of fuzzy feasible solution is defined. First order dual relation for fuzzy nonlinear programming problem is studied.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130898774","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 : 2012-02-01DOI: 10.5899/2012/JFSVA-00103
Amit Kumar, S. Lata
Buckley and Feuring [1] solved a fuzzy linear differential equation and on the basis of the obtained solution, they introduced a new result. The main aim of this note is to show that the solution of the fuzzy linear differential equation, obtained by Buckley and Feuring [1], is incorrect and due to which the result, introduced by Buckley and Feuring [1], is also incorrect.
{"title":"A Note on Fuzzy Initial Value Problem for Nth-Order Fuzzy Linear Differential Equations","authors":"Amit Kumar, S. Lata","doi":"10.5899/2012/JFSVA-00103","DOIUrl":"https://doi.org/10.5899/2012/JFSVA-00103","url":null,"abstract":"Buckley and Feuring [1] solved a fuzzy linear differential equation and on the basis of the obtained solution, they introduced a new result. The main aim of this note is to show that the solution of the fuzzy linear differential equation, obtained by Buckley and Feuring [1], is incorrect and due to which the result, introduced by Buckley and Feuring [1], is also incorrect.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"60 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129191637","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-00332
Harish Garg, Nikunj Agarwal, AlkaTripathi
In this paper, we have defined the notion of the fuzzy number intuitionistic fuzzy soft sets. For it, different operations such as union, intersection, complement, max, min, AND and OR have been introduced on fuzzy number intuitionistic fuzzy soft sets environment. Some examples of these operations are given and a few properties are also studied.
{"title":"Fuzzy number Intuitionistic fuzzy soft sets and its properties","authors":"Harish Garg, Nikunj Agarwal, AlkaTripathi","doi":"10.5899/2016/JFSVA-00332","DOIUrl":"https://doi.org/10.5899/2016/JFSVA-00332","url":null,"abstract":"In this paper, we have defined the notion of the fuzzy number intuitionistic fuzzy soft sets. For it, different operations such as union, intersection, complement, max, min, AND and OR have been introduced on fuzzy number intuitionistic fuzzy soft sets environment. Some examples of these operations are given and a few properties are also studied.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"113 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":"117110353","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-00276
E. Firouz, M. Keshavarz, S. Khakrangin
In this article using the concept of generalized Hukuhara difference, the nth-order fuzzy differential equation problem with constant coefficients will be solved. Then the solution will be compared in two cases. The first case is the one where displacement is not performed. It means that right side of nth-order fuzzy differential equation not transfer to the left side. The second case is the one where displacements is performed by applying generalized Hukuhara difference concept. We show that forcing term under gH-difference dose not exist when a displacement is not performed and the solution of bout fuzzy differential equations is the same considering gH- difference. Finally, we present more examples for the second-order fuzzy differential equation with constant coefficients.
{"title":"Advantage of gH-difference on the nth- fuzzy linear differential equations with constant coefficients","authors":"E. Firouz, M. Keshavarz, S. Khakrangin","doi":"10.5899/2016/JFSVA-00276","DOIUrl":"https://doi.org/10.5899/2016/JFSVA-00276","url":null,"abstract":"In this article using the concept of generalized Hukuhara difference, the nth-order fuzzy differential equation problem with constant coefficients will be solved. Then the solution will be compared in two cases. The first case is the one where displacement is not performed. It means that right side of nth-order fuzzy differential equation not transfer to the left side. The second case is the one where displacements is performed by applying generalized Hukuhara difference concept. We show that forcing term under gH-difference dose not exist when a displacement is not performed and the solution of bout fuzzy differential equations is the same considering gH- difference. Finally, we present more examples for the second-order fuzzy differential equation with constant coefficients.","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":"125150389","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-00282
R. Saneifard, R. Saneifard
The present paper aimed at designing a new method to rank fuzzy numbers by distance method. The purpose of the present study was to introduce a new method in order to value various fuzzy numbers effectively and at the same time to overcome the shortcomings of the previous studies. To fulfill the purpose of the study the proposed method was based on the radius of gyration point of ROG points and used the semi variance value of fuzzy numbers as benchmark. Finally, the findings are discussed as far as comparative examples are concerned to be useful to illustrate the advantage of the proposed method.
{"title":"Defuzzification Method for Ranking Fuzzy Numbers Through Radius of Gyration","authors":"R. Saneifard, R. Saneifard","doi":"10.5899/2016/JFSVA-00282","DOIUrl":"https://doi.org/10.5899/2016/JFSVA-00282","url":null,"abstract":"The present paper aimed at designing a new method to rank fuzzy numbers by distance method. The purpose of the present study was to introduce a new method in order to value various fuzzy numbers effectively and at the same time to overcome the shortcomings of the previous studies. To fulfill the purpose of the study the proposed method was based on the radius of gyration point of ROG points and used the semi variance value of fuzzy numbers as benchmark. Finally, the findings are discussed as far as comparative examples are concerned to be useful to illustrate the advantage of the proposed method.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"63 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":"126040508","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-00164
L. Jahanshahloo, E. Haghi
There are some important questions in Land use change literature, for instance How much land to allocate to each of a number of land use type in order to maximization of (household or individual) rent -paying ability, minimization of environmental impacts or maximization of population income. In this paper, we want to investigate them and propose mathematical models to find an answer for these questions. Since Most of the parameters in this process are linguistics and fuzzy logic is a powerful tools to handle them, a fuzzy linear programming model is used in model building. To this end, Fuzzy Linear Programming Problem(FLP) with fuzzy related system of constraint and fuzzy coefficient vector in the objective function, that is a full fuzzy system of simultaneous equations with fuzzy objective function is discussed. The related production operations in the objective function and in the constrains are performed in the basis of standard production between fuzzy numbers. The constraint which can be take into account depend on the case but representative objective include: Lower and upper limits on land use, availability of Labour and so on.
{"title":"Fuzzy optimization model for land use change","authors":"L. Jahanshahloo, E. Haghi","doi":"10.5899/2014/JFSVA-00164","DOIUrl":"https://doi.org/10.5899/2014/JFSVA-00164","url":null,"abstract":"There are some important questions in Land use change literature, for instance How much land to allocate to each of a number of land use type in order to maximization of (household or individual) rent -paying ability, minimization of environmental impacts or maximization of population income. In this paper, we want to investigate them and propose mathematical models to find an answer for these questions. Since Most of the parameters in this process are linguistics and fuzzy logic is a powerful tools to handle them, a fuzzy linear programming model is used in model building. To this end, Fuzzy Linear Programming Problem(FLP) with fuzzy related system of constraint and fuzzy coefficient vector in the objective function, that is a full fuzzy system of simultaneous equations with fuzzy objective function is discussed. The related production operations in the objective function and in the constrains are performed in the basis of standard production between fuzzy numbers. The constraint which can be take into account depend on the case but representative objective include: Lower and upper limits on land use, availability of Labour and so on.","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":"125262746","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-00179
U. Kadak, M. Özlük
In this paper, we investigate the classical sets of sequences of fuzzy numbers by using partial metric which is based on a partial ordering. Some elementary notions and concepts for partial metric and fuzzy level sets are given. In addition, several necessary and sufficient conditions for partial completeness are established by means of fuzzy level sets. Finally, we give some illustrative examples and present some results between fuzzy and partial metric spaces.
{"title":"A new approach for the sequence spaces of fuzzy level sets with the partial metric","authors":"U. Kadak, M. Özlük","doi":"10.5899/2014/JFSVA-00179","DOIUrl":"https://doi.org/10.5899/2014/JFSVA-00179","url":null,"abstract":"In this paper, we investigate the classical sets of sequences of fuzzy numbers by using partial metric which is based on a partial ordering. Some elementary notions and concepts for partial metric and fuzzy level sets are given. In addition, several necessary and sufficient conditions for partial completeness are established by means of fuzzy level sets. Finally, we give some illustrative examples and present some results between fuzzy and partial metric spaces.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"53 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":"126644309","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-00135
T. Allahviranloo, S. Gholami
There are some mistakes in one of the papers of Luciano Stefanini and Barnabas Bede . In this article we are going to show that the case $(ii)$ of proposition 24 in is incorrect. The corrected form is proposed in details.
{"title":"Note on ''Generalized Hukuhara differentiability of interval-valued functions and interval differential equations''","authors":"T. Allahviranloo, S. Gholami","doi":"10.5899/2012/JFSVA-00135","DOIUrl":"https://doi.org/10.5899/2012/JFSVA-00135","url":null,"abstract":"There are some mistakes in one of the papers of Luciano Stefanini and Barnabas Bede . In this article we are going to show that the case $(ii)$ of proposition 24 in is incorrect. The corrected form is proposed in details.","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":"126761441","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-00256
Didier Kumwimba Seya, Rostin Mabela Makengo, M. Rémon, W. O. Rebecca
{"title":"Fuzzy Itand#244; Integral Driven by a Fuzzy Brownian Motion","authors":"Didier Kumwimba Seya, Rostin Mabela Makengo, M. Rémon, W. O. Rebecca","doi":"10.5899/2015/JFSVA-00256","DOIUrl":"https://doi.org/10.5899/2015/JFSVA-00256","url":null,"abstract":"","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"94 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":"122340438","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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