Fuzzy implication functions with a specific expression: The polynomial case

In the last decades, more than a hundred families of fuzzy implication functions have been proposed. These are generated by adequately combining other logical connectives or univariate functions. However, no attention has given to final expression function, crucial feature for any application. this paper, polynomial implications introduced as those whose is two variables. Polynomials present advantages with respect types making them interesting applications. Several results proved polynomials degree and characterisation all less equal 4 achieved.