Convergences of fuzzy sets based on decomposition theory and fuzzy polynomial function
On R = (-infinity,infinity), let F-s be the family of all fuzzy numbers and level 1 fuzzy intervals. By using the Decomposition Principle, we can work on the problems of convergences for the fuzzy polynomial functions in Fs. Let the fuzzy sets on R+ = (0,infinity) be F-s(+), which is a subfamily of F-s. We then define fuzzy polynomial functions on F-s(+) and deal with their differentiation, integration and some other properties. (C) 2000 Elsevier Science B.V. All rights reserved.
fuzzy polynomial function membership functions derivative of fuzzy polynomial function integration of fuzzy polynomial function convergences of fuzzy polynomial functions