Abhinav Bansal

Followers

Following

Public Views

Stephen Flower

University of Bath

Anna Croft

Loughborough University

Sayed K Ramadan

Ain Shams University

Anthony Melvin Crasto Ph.D

Institute of Chemical Technology, Mumbai

AJEET KUMAR

University of Delhi

Professor Dr. Loutfy H . Madkour

Al-Baha University, Kingdom of Saudi Arabia

Uwamere O Edeghor

University of Calabar, Calabar, Nigeria.

Dr. Ahmed Abo-Bakr

South Valley University

John Egbere

UNIVERSITY OF JOS, NIGERIA

Pradipta Saha

Burdwan University

Interests

Uploads

Papers by Abhinav Bansal

Solution of fully fuzzy linear system with arbitrary coefficients

International Journal of Applied Mathematics and Computation, 2011

Different methods are proposed for finding the non negative solution of fully fuzzy linear system... more Different methods are proposed for finding the non negative solution of fully fuzzy linear system (FFLS) i.e. fuzzy linear system with fuzzy coefficients involving fuzzy variables. To the best of our knowledge, there is no method in the literature for finding the non negative solution of FFLS without any restriction on the coefficient matrix. In this paper a new computational method is proposed to solve FFLS with arbitrary coefficients. To illustrate the proposed method, numerical examples are solved.

Linear programming approach to find the solution of fully fuzzy linear systems with arbitrary fuzzy coefficients

Journal of Intelligent & Fuzzy Systems, 2013

ABSTRACT In this paper limitations of an existing method M. Otadi and M. Mosleh, Solving fully fu... more ABSTRACT In this paper limitations of an existing method M. Otadi and M. Mosleh, Solving fully fuzzy matrix equations, Applied Mathematical Modelling 2012 are pointed out and to overcome these limitations a new method is proposed. To illustrate the proposed method numerical examples are solved and the obtained results are discussed.

Fully fuzzy linear systems of triangular fuzzy numbers (a,b,c)

International Journal of Intelligent Computing and Cybernetics, 2013

PurposeThe purpose of this paper is to study a nascent theory and an emerging concept of solving ... more PurposeThe purpose of this paper is to study a nascent theory and an emerging concept of solving a fully fuzzy linear system (FFLS) with no non negative restrictions on the triangular fuzzy numbers chosen as parameters. Two new simplified computational methods are proposed to solve a FFLS without any sign restrictions. The first method eliminates the non‐negativity constraint from the coefficient matrix while the second method eliminates the constraint of non‐negativity on the solution vector. The methods are introduced with an objective to broaden the domain of fuzzy linear systems to encompass a wide range of problems occurring in reality.Design/methodology/approachThe design of numerical methods is motivated by decomposing the fuzzy based linear system into its equivalent crisp linear form which can be further solved by variety of classical methods to solve a crisp linear system. Further the paper investigates Schur complement technique to solve the crisp equivalent of the FFLS.F...

Download

A new computational method for solving fully fuzzy linear systems of triangular fuzzy numbers

Fuzzy Information and Engineering, 2012

In this paper, a new computational method is proposed to solve fully fuzzy linear systems (FFLS) ... more In this paper, a new computational method is proposed to solve fully fuzzy linear systems (FFLS) of triangular fuzzy numbers based on the computation of row reduced echelon form for solving the crisp linear system of equations. The method is illustrated by solving three numerical examples. As compared to the existing methods, the proposed method is easy to understand and to apply for solving FFLS occurring in real life situations and scientific applications. The primary advantage of the proposed method is that, by using it, the consistency of the FFLS can be checked easily and nature of the solutions of an FFLS can also be obtained which may be unique or infinite.

Download

$Research paper thumbnail of Solving fully fuzzy linear system with arbitrary triangular fuzzy numbers $$( {m,\alpha ,\beta }) $$$

Solving fully fuzzy linear system with arbitrary triangular fuzzy numbers $$( {m,\alpha ,\beta }) $$

Soft Computing, 2012

In this paper, we discuss some new numerical methods to solve a fully fuzzy linear system (FFLS) ... more In this paper, we discuss some new numerical methods to solve a fully fuzzy linear system (FFLS) with triangular fuzzy numbers of the form ðm; a; bÞ. Almost every existing method that intends to solve a FFLS confines the coefficient matrix and the solutions to be nonnegative fuzzy numbers. The main intent of the proposed methods is to remove these restrictions and widen the scope of fuzzy linear systems in scientific applications. The methods are illustrated with the help of numerical examples and are conceptually easy to understand and apply in real life situations.

Download

Some New Computational Methods to Solve Dual Fully Fuzzy Linear System of Arbitrary Triangular Fuzzy Numbers

New Mathematics and Natural Computation, 2013

In this paper, we discuss two new computational techniques for solving a generalized fully fuzzy ... more In this paper, we discuss two new computational techniques for solving a generalized fully fuzzy linear system (FFLS) with arbitrary triangular fuzzy numbers (m,α,β). The methods eliminate the non-negative restriction on the fuzzy coefficient matrix that has been considered by almost every method in the literature and relies on the decomposition of the dual FFLS into a crisp linear system that can be further solved by a variety of classical methods. To illustrate the proposed methods, numerical examples are solved and the obtained results are discussed. The methods pose several advantages over the existing methods to solve a simple or dual FFLS.

A new computational method to solve fully fuzzy linear systems for negative coefficient matrix

International Journal of Manufacturing Technology and Management, 2012

ABSTRACT

A method for solving fully fuzzy linear system with trapezoidal fuzzy numbers

Different methods have been proposed for finding the non-negative solution of fully fuzzy linear ... more Different methods have been proposed for finding the non-negative solution of fully fuzzy linear system (FFLS) i.e. fuzzy linear system with fuzzy coefficients involving fuzzy variables. To the best of our knowledge, there is no method in the literature for finding the non-negative solution of a FFLS without any restriction on the coefficient matrix. In this paper a new computational method is proposed to solve FFLS without any restriction on the coefficient matrix by representing all the parameters as trapezoidal fuzzy numbers.

Download

A new method to solve fully fuzzy linear system with trapezoidal fuzzy numbers

ABSTRACT

A New Approach for Solving Fully Fuzzy Linear Systems

Advances in Fuzzy Systems, 2011

Several authors have proposed different methods to find the solution of fully fuzzy linear system... more 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 thr...

Download

Solution of fully fuzzy linear system with arbitrary coefficients

International Journal of Applied Mathematics and Computation, 2011