Pseudo-t-norms and Implication Operators: Direct Products and Direct Product Decompositions on a Complete Lattice
Liao Da-jian · Journal of Huaihai Institute of Technology · 2004
Further study is made on pseudo-t-norms and implication operators on a complete lattice, their direct products and direct product decompositions. The definitions of a pseudo-t-norm (or implication) and triangular norms on product lattices are given and the sufficient and necessary conditions for a pseudo-t-norm and a triangular norm to be decomposable are provided. The problem about the condition for direct product decomposition put forward by De Baets is solved.