A New Approach for Solving Fully Fuzzy Linear Systems

Several authors have proposed different methods to find the solution of fully fuzzy linear systems (FFLSs) that is, fuzzy linear system with fuzzy coefficients involving fuzzy variables. But all the existing methods are based on the assumption that all the fuzzy coefficients and the fuzzy variables...

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Main Authors: Amit Kumar, Neetu, Abhinav Bansal
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Advances in Fuzzy Systems
Online Access:http://dx.doi.org/10.1155/2011/943161
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spelling doaj-9fef03d64d944096870cd6364d8333182020-11-24T23:37:15ZengHindawi LimitedAdvances in Fuzzy Systems1687-71011687-711X2011-01-01201110.1155/2011/943161943161A New Approach for Solving Fully Fuzzy Linear SystemsAmit Kumar0Neetu1Abhinav Bansal2School of Mathematics and Computer Applications, Thapar University, Patiala 147004, IndiaSchool of Mathematics and Computer Applications, Thapar University, Patiala 147004, IndiaComputer Science and Engineering Department, Thapar University, Patiala 147004, IndiaSeveral authors have proposed different methods to find the solution of fully fuzzy linear systems (FFLSs) that is, fuzzy linear system with fuzzy coefficients involving fuzzy variables. But all the existing methods are based on the assumption that all the fuzzy coefficients and the fuzzy variables are nonnegative fuzzy numbers. In this paper a new method is proposed to solve an FFLS with arbitrary coefficients and arbitrary solution vector, that is, there is no restriction on the elements that have been used in the FFLS. The primary objective of this paper is thus to introduce the concept and a computational method for solving FFLS with no non negative constraint on the parameters. The method incorporates the principles of linear programming in solving an FFLS with arbitrary coefficients and is not only easier to understand but also widens the scope of fuzzy linear equations in scientific applications. To show the advantages of the proposed method over existing methods we solve three FFLSs.http://dx.doi.org/10.1155/2011/943161
collection DOAJ
language English
format Article
sources DOAJ
author Amit Kumar
Neetu
Abhinav Bansal
spellingShingle Amit Kumar
Neetu
Abhinav Bansal
A New Approach for Solving Fully Fuzzy Linear Systems
Advances in Fuzzy Systems
author_facet Amit Kumar
Neetu
Abhinav Bansal
author_sort Amit Kumar
title A New Approach for Solving Fully Fuzzy Linear Systems
title_short A New Approach for Solving Fully Fuzzy Linear Systems
title_full A New Approach for Solving Fully Fuzzy Linear Systems
title_fullStr A New Approach for Solving Fully Fuzzy Linear Systems
title_full_unstemmed A New Approach for Solving Fully Fuzzy Linear Systems
title_sort new approach for solving fully fuzzy linear systems
publisher Hindawi Limited
series Advances in Fuzzy Systems
issn 1687-7101
1687-711X
publishDate 2011-01-01
description Several authors have proposed different methods to find the solution of fully fuzzy linear systems (FFLSs) that is, fuzzy linear system with fuzzy coefficients involving fuzzy variables. But all the existing methods are based on the assumption that all the fuzzy coefficients and the fuzzy variables are nonnegative fuzzy numbers. In this paper a new method is proposed to solve an FFLS with arbitrary coefficients and arbitrary solution vector, that is, there is no restriction on the elements that have been used in the FFLS. The primary objective of this paper is thus to introduce the concept and a computational method for solving FFLS with no non negative constraint on the parameters. The method incorporates the principles of linear programming in solving an FFLS with arbitrary coefficients and is not only easier to understand but also widens the scope of fuzzy linear equations in scientific applications. To show the advantages of the proposed method over existing methods we solve three FFLSs.
url http://dx.doi.org/10.1155/2011/943161
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