A Set Covering-Based Diagnostic Expert System to Economic and Financial Applications

作者：Hu Cheng Kai^*; Liu Fung Bao^*; Hu Cheng Feng^*

来源：International Journal of Uncertainty Fuzziness and Knowledge-Based Systems, 2016, 24(1): 91-107.

DOI：10.1142/S0218488516500057

• Diagnosis problems
• fuzzy optimization
• fuzzy relational equations
• covering problems

This paper considers the identification of problems which generate anomalies at firms through the observed symptoms on the basis of fuzzy relations and Zadeh's compositional rule of inference. A procedure for determining the fuzzy cause vector of an economic and financial diagnosis problem is proposed, which consists of the design of fuzzy relational matrix and the resolution of a system of fuzzy relational equations. An efficient algorithm for solving fuzzy relational equations in terms of the associated set covering problem is introduced. It utilizes a back-tracking method to generate each minimal covering, where no duplicate or non-minimal coverings exist. A numerical example of firms' insolvency causes diagnosis is also included.

• 出版日期2016-2