Simplified function generators based on fuzzy-logic interpolation

Abstract

We replace the classical procedure for recursive linear interpolation with a technique based on simple fuzzy-set logic. This approach makes it much easier to construct multi-input interpolation procedures. The resulting function generators produce the same output as the classical formulas with slightly fewer CPU cycles if we precompute and store some coefficients before the simulation. Lin and Zhang's algorithm [K.-C. Lin, B. Zhang, Simulation 68 (3) (1997) 157–163], which precomputes and stores more interpolation-polynomial parameters, is even faster but requires much more runtime storage in the case of large function tables.