TY - GEN
T1 - One simple procedure to find the best approximate solution for fuzzy max-average inverse relation
AU - Wu, Yan Kuen
AU - Guu, Sy Ming
PY - 2010
Y1 - 2010
N2 - Fuzzy relational equations have played an important role in fuzzy modeling and applied to many practical problems. Most theories of fuzzy relational equations based on a premise that the solution set is not empty. However, this is often not the case in practical applications. Recently, Chakraborty et al. presented an efficient algorithm to solve the best approximate solution for the fuzzy relational equations, X ○ A = I, with max-min composition, where I denotes the identity matrix. In this paper, some theoretical results of the fuzzy relational equations with max-average composition are proposed for this particular problem. One simple procedure finds the best approximate solution for the discussed problem. A numerical example is provided to illustrate the procedure.
AB - Fuzzy relational equations have played an important role in fuzzy modeling and applied to many practical problems. Most theories of fuzzy relational equations based on a premise that the solution set is not empty. However, this is often not the case in practical applications. Recently, Chakraborty et al. presented an efficient algorithm to solve the best approximate solution for the fuzzy relational equations, X ○ A = I, with max-min composition, where I denotes the identity matrix. In this paper, some theoretical results of the fuzzy relational equations with max-average composition are proposed for this particular problem. One simple procedure finds the best approximate solution for the discussed problem. A numerical example is provided to illustrate the procedure.
KW - Fuzzy relational equations
KW - Max-average composition
KW - The best approximate solutionc
UR - http://www.scopus.com/inward/record.url?scp=78149287660&partnerID=8YFLogxK
U2 - 10.1109/ICMLC.2010.5580792
DO - 10.1109/ICMLC.2010.5580792
M3 - 会议稿件
AN - SCOPUS:78149287660
SN - 9781424465262
T3 - 2010 International Conference on Machine Learning and Cybernetics, ICMLC 2010
SP - 2806
EP - 2810
BT - 2010 International Conference on Machine Learning and Cybernetics, ICMLC 2010
T2 - 2010 International Conference on Machine Learning and Cybernetics, ICMLC 2010
Y2 - 11 July 2010 through 14 July 2010
ER -