Title :
Fuzzy numbers and equality relations
Author :
Jacas, J. ; Recasens, J.
Author_Institution :
Sec. Matematiques i Inf., Univ. Politecnica de Catalunya, Barcelona, Spain
Abstract :
A general approach to the concept of a fuzzy number associated to a generalized equality on the real line is given. As a result, the use of triangular and trapezoidal fuzzy numbers, among other types, is justified and a representation theorem that allows the construction of indistinguishability operators on the real line based on t-norms is presented. The families of fuzzy numbers invariant under translations are characterized
Keywords :
fuzzy set theory; generalized equality; indistinguishability operators; representation theorem; translations; trapezoidal fuzzy numbers; triangular fuzzy numbers; Fuzzy control; Fuzzy set theory; Fuzzy sets;
Conference_Titel :
Fuzzy Systems, 1993., Second IEEE International Conference on
Conference_Location :
San Francisco, CA
Print_ISBN :
0-7803-0614-7
DOI :
10.1109/FUZZY.1993.327580
