scholarly journals LU Decomposition Method for Solving Fully Fuzzy Linear System with Trapezoidal Fuzzy Numbers

2012 ◽  
Vol 2 (2) ◽  
pp. 01-03
Author(s):  
Radhakrishnan S
Keyword(s):  
Linear System ◽  
Decomposition Method ◽  
Fuzzy Numbers ◽  
Lu Decomposition ◽  
Trapezoidal Fuzzy Numbers ◽  
Fully Fuzzy Linear System ◽  
Fuzzy Linear System

SOME NEW COMPUTATIONAL METHODS TO SOLVE DUAL FULLY FUZZY LINEAR SYSTEM OF ARBITRARY TRIANGULAR FUZZY NUMBERS

2013 ◽  
Vol 09 (01) ◽  
pp. 13-26 ◽  
Author(s):  
AMIT KUMAR ◽  
BABBAR NEETU ◽  
ABHINAV BANSAL
Keyword(s):  
Linear System ◽  
Computational Methods ◽  
Fuzzy Numbers ◽  
Coefficient Matrix ◽  
Computational Techniques ◽  
Triangular Fuzzy Numbers ◽  
Numerical Examples ◽  
Fully Fuzzy Linear System ◽  
Fuzzy Linear System ◽  
Methods Numerical

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.

scholarly journals An Application of Interval Arithmetic for Solving Fully Fuzzy Linear Systems with Trapezoidal Fuzzy Numbers

2018 ◽  
Vol 2018 ◽  
pp. 1-10 ◽  
Author(s):  
Esmaeil Siahlooei ◽  
Seyed Abolfazl Shahzadeh Fazeli
Keyword(s):  
Linear System ◽  
Linear Systems ◽  
Interval Arithmetic ◽  
Fuzzy Numbers ◽  
New Method ◽  
Numerical Examples ◽  
Fully Fuzzy Linear System ◽  
Basic Interval ◽  
Fuzzy Linear System ◽  
Fuzzy Linear Systems

We present a method for solving fully fuzzy linear systems using interval aspects of fuzzy numbers. This new method uses a decomposition technique to convert a fully fuzzy linear system into two types of decomposition in the form of interval matrices. It finds the solution of a fully fuzzy linear system by using interval operations. This new method uses interval arithmetic and two new interval operations ⊖ and ⊘. These new operations, which are inverses of basic interval operations + and ×, will be presented in the middle of this paper. Some numerical examples are given to illustrate the ability of proposed methods.

scholarly journals A Preconditioning Algorithm for the Positive Solution of Fully Fuzzy Linear System

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Kumar Dookhitram ◽  
Sameer Sunhaloo ◽  
Nisha Rambeerich ◽  
Arshad Peer ◽  
Aslam Saib
Keyword(s):  
Linear System ◽  
Positive Solution ◽  
Fully Fuzzy Linear System ◽  
Fuzzy Linear System

A new method for solving an arbitrary fully fuzzy linear system

2013 ◽  
Vol 17 (9) ◽  
pp. 1725-1731 ◽  
Author(s):  
S. Moloudzadeh ◽  
T. Allahviranloo ◽  
P. Darabi
Keyword(s):  
Linear System ◽  
New Method ◽  
Fully Fuzzy Linear System ◽  
Fuzzy Linear System

scholarly journals General Solutions of Fully Fuzzy Linear Systems

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
T. Allahviranloo ◽  
S. Salahshour ◽  
M. Homayoun-nejad ◽  
D. Baleanu
Keyword(s):  
Linear System ◽  
Linear Systems ◽  
Solution Set ◽  
Solution Sets ◽  
General Solutions ◽  
Fully Fuzzy Linear System ◽  
Fuzzy Linear System ◽  
Fuzzy Linear Systems

We propose a method to approximate the solutions of fully fuzzy linear system (FFLS), the so-calledgeneral solutions. So, we firstly solve the 1-cut position of a system, then some unknown spreads are allocated to each row of an FFLS. Using this methodology, we obtain some general solutions which are placed in the well-known solution sets like Tolerable solution set (TSS) and Controllable solution set (CSS). Finally, we solved two examples in order to demonstrate the ability of the proposed method.

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