Comparison of Classical Method, Extension Principle and α-Cuts and Interval Arithmetic Method in Solving System of Fuzzy Linear Equations

• 作者: Abeda Sultana Md. Saiduzzaman Md. Shafiqul Islam Sahidul Islam
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: Fuzzy Set CLASSICAL Solution Extension Principle α-Cut and INTERVAL ARITHMETIC METHOD
• 年，卷（期）: 2019,（1）
• 页码范围: 1-24
• 页数: 24页
• 分类号: O1

摘要

The system of linear equations plays a vital role in real life problems such as optimization, economics, and engineering. The parameters of the system of linear equations are modeled by taking the experimental or observation data. So the parameters of the system actually contain uncertainty rather than the crisp one. The uncertainties may be considered in term of interval or fuzzy numbers. In this paper, a detailed study of three solution techniques namely Classical Method, Extension Principle method and α-cuts and interval Arithmetic Method to solve the system of fuzzy linear equations has been done. Appropriate applications are given to illustrate each technique. Then we discuss the comparison of the different methods numerically and graphically.