Positive solution of non-square fully Fuzzy linear system of equation in general form using least square method
نویسندگان
چکیده مقاله:
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 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 coefficient 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 efficiency of the proposed method by solving some numerical examples.
Download for Free
Sign up for free to access the full text
Sign up - It's Free!اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودمنابع مشابه
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 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 n...
متن کاملPositive 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...
متن کاملSolution 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]...
متن کاملMinimal 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.
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ذخیره در منابع من قبلا به منابع من ذحیره شده{@ msg_add @}
عنوان ژورنال
دوره 03 شماره 01
صفحات 23- 33
تاریخ انتشار 2014-03-01
با دنبال کردن یک ژورنال هنگامی که شماره جدید این ژورنال منتشر می شود به شما از طریق ایمیل اطلاع داده می شود.
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023