On Complex Fuzzy S-Implications

Complex fuzzy logic is an emerging topic within computational intelligence. Investigations into complex fuzzy logic operators have mainly focused on conjunction, disjunction and negation operators. Implication operators for complex fuzzy logic have received little attention in the literature to date. We study one complex fuzzy logic, which extends Pythagorean fuzzy sets by adding the concepts of anti-membership and anti-non-membership to the familiar ones of membership and non-membership. We derive an
S
-implication for this logic, and elucidate its properties.