title: Are artificial neural networks white boxes?
abstract: In this paper, we introduce a novel Mamdani-type fuzzy model, referred to as the all-permutations fuzzy rule base (APFRB), and show that it is mathematically equivalent to a standard feedforward neural network. We describe several applications of this equivalence between a neural network and our fuzzy rule base (FRB), including knowledge extraction from and knowledge insertion into neural networks.
authors.affiliation: School of Electrical Engineering-Systems, Tel Aviv University, Tel Aviv 69978, Israel.
authors.forename: Eyal
authors.initials: E
authors.lastname: Kolman
authors.forename: Michael
authors.initials: M
authors.lastname: Margaliot
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D003205:Computing Methodologies; D003661:Decision Support Techniques; D017143:Fuzzy Logic; D008954:Models, Biological; D015233:Models, Statistical; D016571:Neural Networks, Computer; D009716:Numerical Analysis, Computer-Assisted; D010363:Pattern Recognition, Automated / Q000379:methods*; D013269:Stochastic Processes