Fuzzy approximate solution of general fully fuzzy linear systems based on GLR-fuzzy numbers

Author

Gong, Zeng-tai ; Liu, Kun

Author_Institution

Coll. of Math. & Inf. Sci., Northwest Normal Univ., Lanzhou, China

Volume

2

fYear

2010

fDate

11-14 July 2010

Firstpage

567

Lastpage

570

Abstract

In this paper, a general m×n fully fuzzy linear systems Ã ⊗ x̃ = b̃ is studied by using the GLR-fuzzy numbers. A sufficient condition for the solution being a non-negative (non-positive) fuzzy approximate solution or a strong (weak) fuzzy approximate solution is provided. Moreover, the fuzzy approximate general solution to FFLS(2) is obtained based on the generalized inverses of matrix. An example is presented to illustrate the proposed results.

Keywords

fuzzy set theory; fuzzy systems; linear systems; matrix inversion; GLR-fuzzy numbers; fuzzy approximate general solution; general fully fuzzy linear systems; generalized matrix inverses; nonnegative fuzzy approximate solution; nonpositive fuzzy approximate solution; strong fuzzy approximate solution; sufficient condition; weak fuzzy approximate solution; Cybernetics; Equations; Fuzzy systems; Linear systems; Machine learning; Mathematical model; Fully fuzzy linear systems; Fuzzy approximate solution; GLR-fuzzy numbers; Generalized inverse;

fLanguage

English

Publisher

ieee

Conference_Titel

Machine Learning and Cybernetics (ICMLC), 2010 International Conference on

Conference_Location

Qingdao

Print_ISBN

978-1-4244-6526-2

Type

conf

DOI

10.1109/ICMLC.2010.5580538

Filename

5580538