Abstract
In this paper, an algebraic construction–called rotation–is introduced, which produces a fuzzy implication from a fuzzy implication. This construction method is similar to the rotation construction for triangular norms. An infinite number of new families of such fuzzy implications can be constructed in this way which provides a broad spectrum of choices for e.g. fuzzy connectives in fuzzy set theory. A preservation of the logical properties of the initial implication in the final one is investigated.
•An algebraic construction–called rotation–is introduced, which produces a fuzzy implication from a fuzzy implication;•A preservation of the logical properties of the initial implication in the final one is investigated.•A view to understand the structure of a right-continuous in its second variable but not continuous fuzzy implication is provided.