학술논문

An associated linear system approach for solving fully fuzzy linear system with hexagonal fuzzy number
Document Type
Conference
Source
2018 Advances in Science and Engineering Technology International Conferences (ASET) Advances in Science and Engineering Technology International Conferences (ASET), 2018. :1-7 Feb, 2018
Subject
General Topics for Engineers
Linear systems
Fuzzy systems
Mathematical model
Fuzzy logic
Matrix decomposition
Fuzzy set theory
Electrical engineering
Fully Fuzzy Linear System
Associated Linear System
positive hexagonalfuzzy number
Language
Abstract
An associated linear system has been previously employed to solve Fully Fuzzy Linear System (FFLS) with trapezoidal or triangular fuzzy numbers (TFNs). This paper proposes a modified associated linear system for solving FFLS with a positive hexagonal fuzzy number (HFN). FFLS is proved to be an equivalent linear system to the modified associated linear system. Subsequently, the solution can be represented and obtained using any classical linear system method. The required theorems are derived to inspect a sufficient and necessary condition in order to solve the system. An example is given to illustrate our work.