Communications of the
Korean Mathematical Society CKMS

There are many results on the extended operations of two fuzzy numbers based on the Zadeh's extension principle. For the calculation, we have to use existing operations between two $\alpha$-cuts. In this paper, we define parametric operations between two $\alpha$-cuts which are different from the existing operations. But we have the same results as the extended operations of Zadeh's principle.

Keywords: extended operation, parametric operation, continuous fuzzy number