On the Direct Decomposability of QL-Implication Operators on Product Lattices

摘要

In this paper, we further study the direct decomposition of implication operators on product lattices, discuss the decomposability of QL-implications on product lattices and show that QL-implications is a direct product of two implication operator when it satisfies the law of right (or left) contraposition with respect to a strong negation. Key words: Fuzzy logic; t-norm; t-conorm; strong negation; implication operator; direct decomposition