A novel approach to multi-attribute decision making based on intuitionistic fuzzy sets

► A new approach to solve multi-attribute decision making problems in intuitionistic fuzzy environment. ► The same alternative with different attributes are considered as one unified entity. ► A revised score function and a revised accuracy function of intuitionistic fuzzy sets based on human intuition. ► The degree of membership, the degree of nonmembership and the degree of hesitation are with various importance. ► An optimization model is established to estimate the relative degree of importance.