Algebraic structures of interval-valued fuzzy (S,N)(S,N)-implications

In this paper, a new characterization with mutually independent requirements for the interval-valued fuzzy (S,N)(S,N)-implications is presented, which provides a simple way to construct interval-valued fuzzy (S,N)(S,N)-implications using continuous fuzzy negations. In addition, some illustrative examples are given to show the validity of this method which builds interval-valued fuzzy (S,N)(S,N)-implications.

► Characterization of the interval-valued fuzzy (S,N)(S,N)-implications.
► mutually independent requirements for interval-valued (S,N)(S,N)-implications.
► Illustrating the utility of this way.