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

Abstract

We generalized the quadratic fuzzy numbers on R to R2. By defining parametric operations between two regions valued (cid:11)-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.

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