Minimal Solution of Complex Fuzzy Linear Systems

Minimal Solution of Complex Fuzzy Linear Systems

This paper investigates the complex fuzzy linear equation Cz~=w~ in which C is a crisp complex matrix and w~ is an arbitrary LR complex fuzzy vector. The complex fuzzy linear system is converted to equivalent high order fuzzy linear system Gx~=b~. A new numerical procedure for calculating the comple...

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Main Authors: Xiaobin Guo, Ke Zhang
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Advances in Fuzzy Systems
Online Access:http://dx.doi.org/10.1155/2016/5293917
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spelling doaj-f7336b97028f4f8fac3b83dd387e7f3c2020-11-25T02:32:43ZengHindawi LimitedAdvances in Fuzzy Systems1687-71011687-711X2016-01-01201610.1155/2016/52939175293917Minimal Solution of Complex Fuzzy Linear SystemsXiaobin Guo0Ke Zhang1College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, ChinaCollege of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, ChinaThis paper investigates the complex fuzzy linear equation Cz~=w~ in which C is a crisp complex matrix and w~ is an arbitrary LR complex fuzzy vector. The complex fuzzy linear system is converted to equivalent high order fuzzy linear system Gx~=b~. A new numerical procedure for calculating the complex fuzzy solution is designed and a sufficient condition for the existence of strong complex fuzzy solution is derived in detail. Some examples are given to illustrate the proposed method.http://dx.doi.org/10.1155/2016/5293917
collection DOAJ
language English
format Article
sources DOAJ
author Xiaobin Guo
Ke Zhang
spellingShingle Xiaobin Guo
Ke Zhang
Minimal Solution of Complex Fuzzy Linear Systems
Advances in Fuzzy Systems
author_facet Xiaobin Guo
Ke Zhang
author_sort Xiaobin Guo
title Minimal Solution of Complex Fuzzy Linear Systems
title_short Minimal Solution of Complex Fuzzy Linear Systems
title_full Minimal Solution of Complex Fuzzy Linear Systems
title_fullStr Minimal Solution of Complex Fuzzy Linear Systems
title_full_unstemmed Minimal Solution of Complex Fuzzy Linear Systems
title_sort minimal solution of complex fuzzy linear systems
publisher Hindawi Limited
series Advances in Fuzzy Systems
issn 1687-7101
1687-711X
publishDate 2016-01-01
description This paper investigates the complex fuzzy linear equation Cz~=w~ in which C is a crisp complex matrix and w~ is an arbitrary LR complex fuzzy vector. The complex fuzzy linear system is converted to equivalent high order fuzzy linear system Gx~=b~. A new numerical procedure for calculating the complex fuzzy solution is designed and a sufficient condition for the existence of strong complex fuzzy solution is derived in detail. Some examples are given to illustrate the proposed method.
url http://dx.doi.org/10.1155/2016/5293917
work_keys_str_mv AT xiaobinguo minimalsolutionofcomplexfuzzylinearsystems
AT kezhang minimalsolutionofcomplexfuzzylinearsystems
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