In order to study the optimization of Zadeh operator

a definition of parameter-tunable triangular norm with monotonic genes is given.First

we defined a kind of triangular norm Fλin the general sense generated by monotone functions using elementary operations

and then a definition of triangular conorm Gλin the general sense is given by using duality.This type of definition unifies the optimal Zadeh operator proposed by some authors.Next

this definition is applied to generate a new pair of triangular norms. It is proved that the triangular norm and triangular conorm conditions are satisfied to verify the feasibility of the definition for constructing fuzzy operators

which gives new direction in the construction of triangular norms.Finally

we studied the variation of some operators parameter tuning and the relationship with the Zadeh operator.FλandGλmake the intersection and merging of fuzzy sets more reasonable

and the data usage more efficient to avoid information loss.On the basis of triangular conorm Gλ

the definition and theorem of g-λmeasure are given

which enriches the theory of fuzzy measure.