Existence, uniqueness, calculus and properties of triangular approximations of fuzzy numbers under a general condition
We consider a general family of parameters associated to a fuzzy number. We study the existence and uniqueness of triangular fuzzy numbers which preserve a fixed parameter in the family. We compute the nearest triangular fuzzy number of a fuzzy number which preserves the fixed parameter. Properties of the obtained approximation operator are studied.
triangular approximation fuzzy number triangular fuzzy number extended approximation