General fuzzy linear systems

• DOI: 10.1016/j.amc.2006.02.027
• Publication Date: 2006-05-12T15:16:36Z
• Authors: Bing Zheng; Ke Wang
• Keywords: Fuzzy subalgebra; Fuzzy associative matrix; Coefficient matrix; Fuzzy Mathematics; Defuzzification

We study the general mxn fuzzy linear system using the embedding method. The solution and therefore the weak fuzzy solution to the fuzzy system are expressed by using the generalized inverses of the coefficient matrix. The existence of the strong fuzzy solution to the fuzzy system is also discussed. Some examples are presented to illustrate the theory.