On the direct decomposability of pseudo-t-norms, t-norms and implication operators on product lattices

Authors:
Zhudeng Wang;Jin-xuan Fang
Affiliations:
Department of Mathematics, Nanjing Normal University, Nanjing 210097, People's Republic of China and Department of Mathematics, Yancheng Teachers College, Jiangsu 224002, People's Republic of Chin ...;Department of Mathematics, Nanjing Normal University, Nanjing 210097, People's Republic of China
Venue:
Fuzzy Sets and Systems
Year:
2007

Citing 14
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Abstract

In this paper, we discuss the direct decomposability of pseudo-t-norms and t-norms on a product lattice, characterize the implication operator on a product lattice that is a direct product of two implication operators and study the direct decomposability of S-implications, R-implications, n-reciprocal R-implications and n-reciprocal QL-implications on a product lattice.