Assigning and fine tuning of fuzzy membership grades

Abstract

Assignment of membership grades is an important task in the application of fuzzy set theory to setup planning area. There are various methods of assigning membership grades. Some of them are direct rating, polling, reverse rating, interval estimation, membership function exemplification and pair-wise comparison. There are various popular forms of membership functions like triangular, trapezoidal, Gaussian, Sigmoid, S-shaped and Π functions. The membership grades assigned by the expert can be fine tuned by the experts. In this chapter a method for fine tuning the membership grades assigned by experts is described. The method gives importance to the opinion of experts as well as relies on practical data. This method is applied to the estimation of burr size in the drilling process.