Pub Date : 2017-03-01DOI: 10.5899/2017/JFSVA-00380
S. Ezadi, S. Askari
In this work, we consider the development of a fuzzy neural network based on probability function for Estimated output of fuzzy regression models with test real input and fuzzy output. The proposed approach is a fuzzification of the outputs and weights of conventional fuzzy neural network based on probability function. The error of the proposed method is based on total square error is minimized by optimization method in order to be able to obtain the optimal weights of the neural network. The advantage of the proposed approach is its simplicity and computation as well as its performance. To compare the performance of the proposed method with the other traditional methods given in the literature several numerical examples are presented.
{"title":"Numerical Solution of Fuzzy linear Regression using Fuzzy Neural Network Based on Probability Function","authors":"S. Ezadi, S. Askari","doi":"10.5899/2017/JFSVA-00380","DOIUrl":"https://doi.org/10.5899/2017/JFSVA-00380","url":null,"abstract":"In this work, we consider the development of a fuzzy neural network based on probability function for Estimated output of fuzzy regression models with test real input and fuzzy output. The proposed approach is a fuzzification of the outputs and weights of conventional fuzzy neural network based on probability function. The error of the proposed method is based on total square error is minimized by optimization method in order to be able to obtain the optimal weights of the neural network. The advantage of the proposed approach is its simplicity and computation as well as its performance. To compare the performance of the proposed method with the other traditional methods given in the literature several numerical examples are presented.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"14 16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126143952","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 : 2017-03-01DOI: 10.5899/2017/JFSVA-00340
B. K. Sharma, Vinay Gautam, S. P. Tiwari, V. Bhattacherjee
The purpose of present work is to study some algebraic aspect of fuzzy multiset regular languages. In between, we show the equivalence of multiset regular language and fuzzy multiset regular language. Finally, we introduce the concept of pumping lemma for fuzzy multiset regular languages, which we use to establish a necessary and sufficient condition for a fuzzy multiset language to be non-constant.
{"title":"On fuzzy multiset regular languages","authors":"B. K. Sharma, Vinay Gautam, S. P. Tiwari, V. Bhattacherjee","doi":"10.5899/2017/JFSVA-00340","DOIUrl":"https://doi.org/10.5899/2017/JFSVA-00340","url":null,"abstract":"The purpose of present work is to study some algebraic aspect of fuzzy multiset regular languages. In between, we show the equivalence of multiset regular language and fuzzy multiset regular language. Finally, we introduce the concept of pumping lemma for fuzzy multiset regular languages, which we use to establish a necessary and sufficient condition for a fuzzy multiset language to be non-constant.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"207 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124659758","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 : 2016-08-01DOI: 10.5899/2016/JFSVA-00294
A. E. Allaoui, S. Melliani, L. S. Chadli
In this work we study a relation between a fuzzy semigroups and fuzzy dynamical systems. Some concepts about stability are introduced to evaluate a fuzzy semigroups. Several examples are given to illustrate the obtained results.
{"title":"Fuzzy dynamical systems and Invariant attractor sets for fuzzy strongly continuous semigroups","authors":"A. E. Allaoui, S. Melliani, L. S. Chadli","doi":"10.5899/2016/JFSVA-00294","DOIUrl":"https://doi.org/10.5899/2016/JFSVA-00294","url":null,"abstract":"In this work we study a relation between a fuzzy semigroups and fuzzy dynamical systems. Some concepts about stability are introduced to evaluate a fuzzy semigroups. Several examples are given to illustrate the obtained results.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"49 1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128627850","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 : 2016-04-01DOI: 10.5899/2016/JFSVA-00281
M. A. Kermani, M. A. Kermani, N. Pour
In this paper a new approach for ranking fuzzy numbers based on defuzzification is introduced. A new method for defuzzification triangular fuzzy numbers and trapezoidal fuzzy numbers based on right and left sprits of fuzzy numbers is developed first and then it is used to formulate defuzzification for fuzzy numbers. The approach is illustrated by numerical examples.
{"title":"A method for solving linear programming problems with triangular fuzzy coefficients using new fuzzy ranking","authors":"M. A. Kermani, M. A. Kermani, N. Pour","doi":"10.5899/2016/JFSVA-00281","DOIUrl":"https://doi.org/10.5899/2016/JFSVA-00281","url":null,"abstract":"In this paper a new approach for ranking fuzzy numbers based on defuzzification is introduced. A new method for defuzzification triangular fuzzy numbers and trapezoidal fuzzy numbers based on right and left sprits of fuzzy numbers is developed first and then it is used to formulate defuzzification for fuzzy numbers. The approach is illustrated by numerical examples.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127743758","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 : 2015-08-01DOI: 10.5899/2015/JFSVA-00230
A. Seyed, A. Nobar
In this paper we propose convergence and stability properties of Euler method for solving fuzzy stochastic differential equations under generalized differentiability concept. It is used to find the analytical solution of method for some fuzzy stochastic differential equations (FSDEs). The related theorems and properties are proved in detail and the method is illustrated by solving some examples.
{"title":"Convergence and stability properties Euler method for solving fuzzy Stochastic differential equations","authors":"A. Seyed, A. Nobar","doi":"10.5899/2015/JFSVA-00230","DOIUrl":"https://doi.org/10.5899/2015/JFSVA-00230","url":null,"abstract":"In this paper we propose convergence and stability properties of Euler method for solving fuzzy stochastic differential equations under generalized differentiability concept. It is used to find the analytical solution of method for some fuzzy stochastic differential equations (FSDEs). The related theorems and properties are proved in detail and the method is illustrated by solving some examples.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125216140","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 : 2015-07-01DOI: 10.5899/2015/JFSVA-00243
Samir Dey, T. Roy
This paper proposes a new multi-objective intuitionistic fuzzy goal programming approach to solve a multi-objective nonlinear programming problem in context of a structural design. Here we describe some basic properties of intuitionistic fuzzy optimization. We have considered a multi-objective structural optimization problem with several mutually conflicting objectives. The design objective is to minimize weight of the structure and minimize the vertical deflection at loading point of a statistically loaded three-bar planar truss subjected to stress constraints on each of the truss members. This approach is used to solve the above structural optimization model based on arithmetic mean and compare with the solution by intuitionistic fuzzy goal programming approach. A numerical solution is given to illustrate our approach.
{"title":"Intuitionistic Fuzzy Goal Programming Technique for Solving Non-Linear Multi-objective Structural Problem","authors":"Samir Dey, T. Roy","doi":"10.5899/2015/JFSVA-00243","DOIUrl":"https://doi.org/10.5899/2015/JFSVA-00243","url":null,"abstract":"This paper proposes a new multi-objective intuitionistic fuzzy goal programming approach to solve a multi-objective nonlinear programming problem in context of a structural design. Here we describe some basic properties of intuitionistic fuzzy optimization. We have considered a multi-objective structural optimization problem with several mutually conflicting objectives. The design objective is to minimize weight of the structure and minimize the vertical deflection at loading point of a statistically loaded three-bar planar truss subjected to stress constraints on each of the truss members. This approach is used to solve the above structural optimization model based on arithmetic mean and compare with the solution by intuitionistic fuzzy goal programming approach. A numerical solution is given to illustrate our approach.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"73 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130106690","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 : 2015-02-01DOI: 10.5899/2015/JFSVA-00232
A. Gharib, Kamran Ghorban Nejad
In present research, a modified DEA model has been used to evaluate the efficiency of different regions of Fars electricity distribution company in a Fuzzy environment. This model eliminates the weak points of basic models of data envelopment analysis in calculation of a different collection of selected weights for different units. First, the efficiency of electricity distribution units was measured using classical model of data envelopment analysis, and then this action was performed using modified model. In classic model, 5 electricity distribution units out of 18 were considered as efficient areas (about 28%), while in modified model, only 1 unit (about 5.5%) was efficient. The average of unit efficiency in classical model was 0.74, while in modified model it was 0.36. It indicates that this model not only eliminates the mentioned weak point, but also it increases the differentiation potential of classical models.
{"title":"Evaluation of efficiency of electricity distribution company. Using modified DEA approach in Fuzzy environment Case study: Electricity Distribution Company of Fars Province","authors":"A. Gharib, Kamran Ghorban Nejad","doi":"10.5899/2015/JFSVA-00232","DOIUrl":"https://doi.org/10.5899/2015/JFSVA-00232","url":null,"abstract":"In present research, a modified DEA model has been used to evaluate the efficiency of different regions of Fars electricity distribution company in a Fuzzy environment. This model eliminates the weak points of basic models of data envelopment analysis in calculation of a different collection of selected weights for different units. First, the efficiency of electricity distribution units was measured using classical model of data envelopment analysis, and then this action was performed using modified model. In classic model, 5 electricity distribution units out of 18 were considered as efficient areas (about 28%), while in modified model, only 1 unit (about 5.5%) was efficient. The average of unit efficiency in classical model was 0.74, while in modified model it was 0.36. It indicates that this model not only eliminates the mentioned weak point, but also it increases the differentiation potential of classical models.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121739692","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 : 2014-09-01DOI: 10.5899/2014/JFSVA-00186
A. Moradi, A. Etebarian, A. Shirvani, I. Soltani
Marine Accident investigation multidimensional and complex, so this study aimed to provide a systematic approach to determining the degree of the most influential parameters (dimensions) in accident occurrence in order to improve marine safety in the direction of good governance. In this paper, two-phase procedures are proposed. The first stage utilizes the fuzzy Delphi method (FDM) to determine the critical factors of Marine Accident Investigation by interviewing the pertinent authorities. In the second stage, the fuzzy analytic hierarchy process (FAHP) is applied to pair fuzzy numbers as measurable indices and finally to rank by degree each influential criterion within accident investigation. This study considers 1 goal, 4 aspects, and 31 criteria (parameters) and establishes a ranking model that allows decision-makers to assess the prior ordering of reasons and sort by the most effective parameters involved in marine accident occurrence. The empirical study indicated that People, working and living conditions, effect is considered the highest ranking aspect, and Ability, skills, and knowledge of workers is considered the most important evaluation criterion overall by experts. These results were derived from fuzzy Delphi analytical hierarchy processing (FDAHP). A demonstration of the prior ordering of accident-causing parameters by authorities was addressed as well. Therefore, ranking the priority of every influential criterion (parameter) will help marine transportation decision makers emphasize the areas in which to improve in order to prevent future marine accidents.
{"title":"Development of a Fuzzy Model for Iranian Marine Casualties Management","authors":"A. Moradi, A. Etebarian, A. Shirvani, I. Soltani","doi":"10.5899/2014/JFSVA-00186","DOIUrl":"https://doi.org/10.5899/2014/JFSVA-00186","url":null,"abstract":"Marine Accident investigation multidimensional and complex, so this study aimed to provide a systematic approach to determining the degree of the most influential parameters (dimensions) in accident occurrence in order to improve marine safety in the direction of good governance. In this paper, two-phase procedures are proposed. The first stage utilizes the fuzzy Delphi method (FDM) to determine the critical factors of Marine Accident Investigation by interviewing the pertinent authorities. In the second stage, the fuzzy analytic hierarchy process (FAHP) is applied to pair fuzzy numbers as measurable indices and finally to rank by degree each influential criterion within accident investigation. This study considers 1 goal, 4 aspects, and 31 criteria (parameters) and establishes a ranking model that allows decision-makers to assess the prior ordering of reasons and sort by the most effective parameters involved in marine accident occurrence. The empirical study indicated that People, working and living conditions, effect is considered the highest ranking aspect, and Ability, skills, and knowledge of workers is considered the most important evaluation criterion overall by experts. These results were derived from fuzzy Delphi analytical hierarchy processing (FDAHP). A demonstration of the prior ordering of accident-causing parameters by authorities was addressed as well. Therefore, ranking the priority of every influential criterion (parameter) will help marine transportation decision makers emphasize the areas in which to improve in order to prevent future marine accidents.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132536565","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 : 2013-10-22DOI: 10.5899/2014/jfsva-00189
N. Sudev, K. A. Germina
An integer additive set-indexer is defined as an injective function f : V(G) → 2 N0 such that the induced function gf : E(G) → 2 N0 defined by gf(uv) = f(u)+ f(v) is also injective. An integer additive set-indexer is said to be k-uniform if |gf(e)| = k for all e ∈ E(G). An integer additive set-indexer f is said to be a weak integer additive set-indexer if |gf(uv)| = max(|f(u)|; |f(v)|) for all u;v ∈V(G). In this paper, we study the characteristics of certain graphs and graph classes which admit weak integer additive set-indexers.
{"title":"A Characterisation of weak integer additive Set-Indexers of graphs","authors":"N. Sudev, K. A. Germina","doi":"10.5899/2014/jfsva-00189","DOIUrl":"https://doi.org/10.5899/2014/jfsva-00189","url":null,"abstract":"An integer additive set-indexer is defined as an injective function f : V(G) → 2 N0 such that the induced function gf : E(G) → 2 N0 defined by gf(uv) = f(u)+ f(v) is also injective. An integer additive set-indexer is said to be k-uniform if |gf(e)| = k for all e ∈ E(G). An integer additive set-indexer f is said to be a weak integer additive set-indexer if |gf(uv)| = max(|f(u)|; |f(v)|) for all u;v ∈V(G). In this paper, we study the characteristics of certain graphs and graph classes which admit weak integer additive set-indexers.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115095671","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 : 2013-06-01DOI: 10.5899/2013/JFSVA-00149
K. Abhishek
A {it set-indexer} of a graph $G$ is an assignment of distinct subsets of a finite set $X_n$ of $n$ elements to the vertices of the graph, where the edge values are obtained as the symmetric differences of the set assigned to their end vertices which are also distinct. A set-indexer is called {it set-sequential} if sets on the vertices and edges are distinct and together form the set of all nonempty subsets of $X_n.$ A set-indexer called {it set-graceful} if all the nonempty subsets of $X_n$ are obtained on the edges. A graph is called {it set-sequential} ({it set-graceful}) if it admits a {it set-sequential} ({it set-graceful}) set-indexer. In the recent literature the notion of {it set-indexer} has appeared as {it set-coloring}. While obtaining in general a `good' characterization of a set-sequential (set-graceful) graphs remains a formidable open problem ever since the notion was introduced by Acharya in 1983, it becomes imperative to recognize graphs which are set-sequential (set-graceful). In particular, the problem of characterizing set-sequential trees was raised raised by Acharya in 2010. In this article we completely characterize the set-sequential caterpillars of diameter five.
{"title":"Set-Valued Graphs II","authors":"K. Abhishek","doi":"10.5899/2013/JFSVA-00149","DOIUrl":"https://doi.org/10.5899/2013/JFSVA-00149","url":null,"abstract":"A {it set-indexer} of a graph $G$ is an assignment of distinct subsets of a finite set $X_n$ of $n$ elements to the vertices of the graph, where the edge values are obtained as the symmetric differences of the set assigned to their end vertices which are also distinct. A set-indexer is called {it set-sequential} if sets on the vertices and edges are distinct and together form the set of all nonempty subsets of $X_n.$ A set-indexer called {it set-graceful} if all the nonempty subsets of $X_n$ are obtained on the edges. A graph is called {it set-sequential} ({it set-graceful}) if it admits a {it set-sequential} ({it set-graceful}) set-indexer. In the recent literature the notion of {it set-indexer} has appeared as {it set-coloring}. While obtaining in general a `good' characterization of a set-sequential (set-graceful) graphs remains a formidable open problem ever since the notion was introduced by Acharya in 1983, it becomes imperative to recognize graphs which are set-sequential (set-graceful). In particular, the problem of characterizing set-sequential trees was raised raised by Acharya in 2010. In this article we completely characterize the set-sequential caterpillars of diameter five.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132343947","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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