Author :
Zhang, De-li ; Guo, Cai-mei ; Liu, Da-you
Abstract :
As a generalization of lattice-valued fuzzy integral, the present paper put forward a concept of lattice-valued generalized fuzzy integral by introducing the notion of generalized triangular semi-norms and semi-conorms on a complete lattice, such that it is a good extension of existing fuzzy integrals [refers to 15,16,20,14,21, 19,18,9,4,5,10,11,12, etc.]. Meanwhile, some elementary properties are obtained.
Keywords :
fuzzy set theory; integral equations; generalized triangular semi-norms; lattice-valued generalized fuzzy integrals; semi-conorms; Algebra; Computer science; Computer science education; Cybernetics; Extraterrestrial measurements; Fuzzy set theory; Fuzzy sets; Lattices; Machine learning; Mathematics; Fuzzy integral; Fuzzy measure; Generalized triangular norm; Lattice-valued generalized fuzzy integral;
