Approximating solutions of fully fuzzy linear systems: A financial case study

Authors:
A. Ghomashi;S. Salahshour;A. Hakimzadeh
Affiliations:
Kermanshah Branch, Department of Mathematics, Islamic Azad University, Kermanshah, Iran;Young Researchers Club, Mobarakeh Branch, Islamic Azad University, Mobarakeh, Iran;Mobarakeh Branch, Department of Management, Islamic Azad University, Mobarakeh, Iran
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Year:
2014

Citing 14
Cited 0

Solving fuzzy equations: a new solution concept

Fuzzy Sets and Systems
Solving linear and quadratic fuzzy equations

Fuzzy Sets and Systems
Solving systems of linear fuzzy equations

Fuzzy Sets and Systems
Fuzzy linear systems

Fuzzy Sets and Systems
Numerical solutions of fuzzy differential equations

Fuzzy Sets and Systems
Duality in fuzzy linear systems

Fuzzy Sets and Systems
Iteration algorithms for solving a system of fuzzy linear equations

Fuzzy Sets and Systems
Solving parametric fuzzy systems of linear equations by a nonlinear programming method

Computational Economics
Solving systems of linear fuzzy equations by parametric functions---An improved algorithm

Fuzzy Sets and Systems
Fuzzy linear systems of the form A1x+b1=A2x+b2

Fuzzy Sets and Systems
Results concerning interval linear systems with multiple right-hand sides and the interval matrix equation AX=B

Journal of Computational and Applied Mathematics
Maximal- and minimal symmetric solutions of fully fuzzy linear systems

Journal of Computational and Applied Mathematics
Fuzzy symmetric solutions of fuzzy linear systems

Journal of Computational and Applied Mathematics
Explicit solutions of fractional differential equations with uncertainty

Soft Computing - A Fusion of Foundations, Methodologies and Applications - Special Issue on Evolutionary Computation on General Purpose Graphics Processing Units

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this paper, we proposed a new method for approximating solutions of fully fuzzy linear systems in the dual form. For this purpose, we solve the original problem in the 1-cut position we assumed that the 1-cut is a crisp linear system, then some unknown symmetric spreads are allocated to each row of the crisp system, which leads to convert the original problem to 2 * n linear equations in order to find the symmetric spreads. Consequently, we suggested some extensions of the united solution set, the tolerable solution set and the controllable solution set. Simultaneously, we clarify between the classic hull solution sets and the extended hull solution sets in which finally leads to characterize the inner and outer estimations. Then, a financial example is solved to show the ability of proposed method.