ZHENG Mu-cong1, SHI Zhong-ke1*, LIU Yan2
(1 School of Automation, Northwestern Polytechnical University, Xi′an 710072,Shaanxi,China;2 College of Science, Xi′an University of Science and Technology,Xi′an 710054,Shaanxi,China)
Abstract:
Properties of intuitionistic triangular norms and intuitionistic triangular co-norms are investigated. Concepts of intuitionistic fuzzy difference operator and co-adjoint pairs are introduced, which are proved to be induced by the left continuous triangular norms, and their algebraic properties for associativity and distributivity on intuitionistic fuzzy domain are discussed. Then the unified forms of the residual intuitionistic fuzzy difference operators adjoint to intuitionistic triangular co-norms induced by the left-continuous triangular norms are presented. The explicit formulas of four intuitionistic fuzzy difference operators are provided according to the relation between intuitionistic fuzzy operator and fuzzy operator.
KeyWords:
triangular norm; intuitionistic triangular co-norm; intuitionistic fuzzy difference operator; adjoint pair
