Title :
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
Abstract :
In this paper, a general m×n fully fuzzy linear systems à ⊗ 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;
Conference_Titel :
Machine Learning and Cybernetics (ICMLC), 2010 International Conference on
Conference_Location :
Qingdao
Print_ISBN :
978-1-4244-6526-2
DOI :
10.1109/ICMLC.2010.5580538
