positive solution of non-square fully fuzzy linear system of equation in general form using least square method
Authors
abstract
in this paper, we propose the least-squares method for computing the positive solution of a m n fully fuzzy linear system (ffls) of equations, where m > n, based on ka man's arithmetic operations on fuzzy numbers that introduced in [18]. first, we consider all elements of coecient matrix are non-negative or non-positive. also, we obtain 1-cut of the fuzzy number vector solution of the non-square ffls of equations by using pseudoinverse. if 1-cuts vector is non-negative, we solve constrained least squares problem for computing left and right spreads. then, in the special case, we consider 0 is belong to the support of some elements of coecient matrix and solve three overdetermined linear systems and if the solutions of these systems held in non-negative fuzzy solutions then we compute the solution of the non-square ffls of equations. else, we solve constrained least squares problem for obtaining an approximated non-negative fuzzy solution. finally, we illustrate the eciency of the proposed method by solving some numerical examples.
similar resources
Positive solution of non-square fully Fuzzy linear system of equation in general form using least square method
In this paper, we propose the least-squares method for computing the positive solution of a $mtimes n$ fully fuzzy linear system (FFLS) of equations, where $m > n$, based on Kaffman's arithmetic operations on fuzzy numbers that introduced in [18]. First, we consider all elements of coefficient matrix are non-negative or non-positive. Also, we obtain 1-cut of the fuzzy number vector solution of ...
full textPositive Solution of Non-square Fully Fuzzy Linear System of Equation in General Form using Least Square Method
In this paper, we propose the least-squares method for computing the positive solution of a m × n fully fuzzy linear system (FFLS) of equations, where m > n, based on Kaffman’s arithmetic operations on fuzzy numbers that introduced in [18]. First, we consider all elements of coefficient matrix are non-negative or non-positive. Also, we obtain 1-cut of the fuzzy number vector solution of the non...
full textSolution of Non-Square Fuzzy Linear Systems
1 Baskent University, Ankara, 06810 Turkey; phone: (+90)3122341010/1220; fax: (+90)3122341051 E-mail: [email protected] (corresponding author) 2 Baskent University, Ankara, 06810 Turkey; phone: (+90)3122341010/1790; fax: (+90)3122341179 E-mail: [email protected] 3 Ankara University, Computer Engineering Department, Ankara, 06500 Turkey; phone: (+90)3123800026/162 E-mail: [email protected]...
full textMinimal Solution of Non-square Fuzzy Linear Systems
In this paper, the main is to develop a method to solve an arbitrary inconsistent fuzzy linear system by using the embedding approach. Considering the existing of minimal solution to m × n linear fuzzy system is done. To illustrate the proposed model numerical examples are given and obtained results are discussed.
full textMy Resources
Save resource for easier access later
Journal title:
journal of linear and topological algebra (jlta)جلد ۳، شماره ۰۱، صفحات ۲۳-۳۳
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023