On convex-concave perception based functions

Perception based function (PBF) is given by the set of rules Ri:“If X is Ti then Y is Si”, where Ti is a linguistic term describing some fuzzy intervals Ai on the domain of real values of X and Si is a linguistic description of the shape of the function Y(X) on this interval. The methods of explicitation of such type of rules when Si are given by words QUICKLY INCREASING AND SLIGHTLY CONVEX, SLOWLY DECREASING AND STRONGLY CONCAVE are discussed. These methods are based on a fuzzy granulation of a direction of function change and convexconcave patterns of function.

• Type: Conference
• Year: 2003
• Where: EUSFLAT
• Authors: Ildar Z. Batyrshin, Aleksandra Panova
• Keywords: EUSFLAT 2003, EUSFLAT 2007, Fuzzy Intervals, Linguistic Term, Perception Based Function