AN ALGEBRAIC OPERATIONS FOR TWO GENERALIZED 2-DIMENSIONAL QUADRATIC FUZZY SETS

We generalized the quadratic fuzzy numbers on R to R². By defining parametric operations between two regions valued α-cuts, we got the parametric operations for two triangular fuzzy numbers defined on R². The results for the parametric operations are the generalization of Zadeh s extended algebraic operations. We generalize the 2-dimensional quadratic fuzzy numbers on R² that may have maximum value h<1. We calculate the algebraic operations for two generalized 2-dimensional quadratic fuzzy sets.