Analysis for the properties of the optimal fuzzy equivalent matrix obtained by FCMBP algorithm

作者：Zhao Wei Zhong^*; He Qing; Shi Zhong Zhi

来源：Systems Engineering-Theory & Practice, 2010, 30(7): 1238-1245.

• Equivalent matrices
• Equivalent standard form
• Optimal fuzzy equivalent matrix
• Parameter system
• Standard form

The fuzzy clustering method based on perturbation (FCMBP) is further studied in this paper. An example of fuzzy similar matrix is given, for which there exist two fuzzy equivalent matrixes with the same minimum distance from it. It is shown that the global optimal fuzzy equivalent matrix may not be unique. Properties of the feasible solution obtained by FCMBP algorithm are analyzed. Expressions are proposed to compute the number of solutions in each situation respectively. Thus our work improves the completeness of FCMBP algorithm';s related theory.

• 出版日期2010