RT Journal Article
T1 A Novel Technique to Solve the Fuzzy System of Equations
A1 Mikaeilvand, Nasser
A1 Noeiaghdam, Zahra
A1 Noeiaghdam, Samad
A1 Nieto Roig, Juan José
K1 Fuzzy linear system
K1 Fuzzy number
K1 Fuzzy number vector
K1 Embedding method
AB The aim of this research is to apply a novel technique based on the embedding method to solve the n×n fuzzy system of linear equations (FSLEs). By using this method, the strong fuzzy number solutions of FSLEs can be obtained in two steps. In the first step, if the created n×n crisp linear system has a non-negative solution, the fuzzy linear system will have a fuzzy number vector solution that will be found in the second step by solving another created n×n crisp linear system. Several theorems have been proved to show that the number of operations by the presented method are less than the number of operations by Friedman and Ezzati’s methods. To show the advantages of this scheme, two applicable algorithms and flowcharts are presented and several numerical examples are solved by applying them. Furthermore, some graphs of the obtained results are demonstrated that show the solutions are fuzzy number vectors
PB MDPI
YR 2020
FD 2020
LK http://hdl.handle.net/10347/23640
UL http://hdl.handle.net/10347/23640
LA eng
NO Mikaeilvand, N.; Noeiaghdam, Z.; Noeiaghdam, S.; Nieto, J.J. A Novel Technique to Solve the Fuzzy System of Equations. Mathematics 2020, 8, 850
NO This research was funded by partially supported by Agencia Estatal de Investigación (AEI) of Spain under grant MTM2016-75140-P, co-financed by the European Community fund FEDER, and XUNTA de Galicia under grants ED431C 2019-02 and R2016-022
DS Minerva
RD 24 abr 2026