An Application of Interval Arithmetic for Solving Fully Fuzzy Linear Systems with Trapezoidal Fuzzy Numbers. (11th July 2018)

• Record Type: Journal Article
• Authors: Siahlooei, Esmaeil; Shahzadeh Fazeli, Seyed Abolfazl
• Other Names: Mamlook Rustom M. Academic Editor.
• Is Part Of: Advances in fuzzy systems. Volume 2018(2018)
• Publication Date: 2018-07-11
• Subjects: Fuzzy systems -- Periodicals; Systèmes flous; Fuzzy systems; Periodicals; 511.313
• DOI: 10.1155/2018/2104343
• Languages: English
• ISSNs: 1687-7101

Abstract

Abstract : 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.