IF-preorder, IF-topology and IF-automata
The concept of topologies are widely used in machine learning, and fuzzy automata are used as models of machine learning systems. An advantage of employing fuzzy automaton as a model of machine learning system is its simplicity in design and computation. Also, some standard topological concepts and ideas are used in fuzzy automata and IF-automata to obtain certain results therein. In view of above, it seems that IF-topologies and IF-automata may play vital role in the study of machine learning; the purpose of this work is to introduce and study IF-topologies and to use such studies in the theory of IF-automata.
if-topology if-set if-preordered set upper set lower set if-automaton