期刊
INFORMATION SCIENCES
卷 176, 期 20, 页码 3011-3025出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2005.12.010
关键词
strong negation; product lattice; t-norm; S-implication operator
In this paper, we discuss the direct product of strong negations. We characterize strong negations on product lattices that are direct products of strong negations. Furthermore, we present a method for constructing t-norms on product lattices which are not direct products. This method is quite general and useful to generate a wide class of such t-norms and solves an open problem posed in 2003 by Jenei and De Baets. Finally, we study direct decompositions of S-implication operators on product lattices. (C) 2005 Elsevier Inc. All rights reserved.
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