An algorithm for a positive solution of arbitrary fully fuzzy linear system

This paper proposes a new computational method to obtain a positive solution for arbitrary fully fuzzy linear system (FFLS).The new method transforms the coefficients in FFLS to a one-block matrix.As a result, none of the fuzzy operations are needed.This method can provide a solution regardless of t...

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Main Authors: Malkawi, Ghassan, Ahmad, Nazihah, Ibrahim, Haslinda
Format: Article
Published: Springer US 2015
Subjects:
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author Malkawi, Ghassan
Ahmad, Nazihah
Ibrahim, Haslinda
author_facet Malkawi, Ghassan
Ahmad, Nazihah
Ibrahim, Haslinda
author_sort Malkawi, Ghassan
collection UUM
description This paper proposes a new computational method to obtain a positive solution for arbitrary fully fuzzy linear system (FFLS).The new method transforms the coefficients in FFLS to a one-block matrix.As a result, none of the fuzzy operations are needed.This method can provide a solution regardless of the size of a system. Some necessary theorems are proved and new numerical examples are presented to illustrate the proposed method.
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institution Universiti Utara Malaysia
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spelling uum-168752016-04-27T06:31:45Z https://repo.uum.edu.my/id/eprint/16875/ An algorithm for a positive solution of arbitrary fully fuzzy linear system Malkawi, Ghassan Ahmad, Nazihah Ibrahim, Haslinda QA75 Electronic computers. Computer science This paper proposes a new computational method to obtain a positive solution for arbitrary fully fuzzy linear system (FFLS).The new method transforms the coefficients in FFLS to a one-block matrix.As a result, none of the fuzzy operations are needed.This method can provide a solution regardless of the size of a system. Some necessary theorems are proved and new numerical examples are presented to illustrate the proposed method. Springer US 2015-07 Article PeerReviewed Malkawi, Ghassan and Ahmad, Nazihah and Ibrahim, Haslinda (2015) An algorithm for a positive solution of arbitrary fully fuzzy linear system. Computational Mathematics and Modeling, 26 (3). pp. 436-465. ISSN 1046-283X http://link.springer.com/article/10.1007/s10598-015-9283-0
spellingShingle QA75 Electronic computers. Computer science
Malkawi, Ghassan
Ahmad, Nazihah
Ibrahim, Haslinda
An algorithm for a positive solution of arbitrary fully fuzzy linear system
title An algorithm for a positive solution of arbitrary fully fuzzy linear system
title_full An algorithm for a positive solution of arbitrary fully fuzzy linear system
title_fullStr An algorithm for a positive solution of arbitrary fully fuzzy linear system
title_full_unstemmed An algorithm for a positive solution of arbitrary fully fuzzy linear system
title_short An algorithm for a positive solution of arbitrary fully fuzzy linear system
title_sort algorithm for a positive solution of arbitrary fully fuzzy linear system
topic QA75 Electronic computers. Computer science
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