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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2016-01-01
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Series: | Advances in Fuzzy Systems |
Online Access: | http://dx.doi.org/10.1155/2016/5293917 |
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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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1724818313340518400 |