Notes on “pseudo-t-norms and implication operators on a complete Brouwerian lattice” and “pseudo-t-norms and implication operators: direct products and direct product decompositions”

Authors:
Song-Chol Han;Hong-Xing Li
Affiliations:
School of Mathematical Sciences, Beijing Normal University, Beijing 100875, P.R. China and Department of Mathematics and Mechanics, Kim Il Sung University, Pyongyang, Democratic People's Republic ...;School of Mathematical Sciences, Beijing Normal University, Beijing 100875, P.R. China
Venue:
Fuzzy Sets and Systems
Year:
2005

Citing 3
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Abstract

This paper shows by examples that Theorems 4.1-4.3, 4.5 in [Fuzzy Sets and Systems 132 (2002) 113] and Theorems 2.1, 2.2, 3.1 in [Fuzzy Sets and Systems 139 (2003) 673] about pseudo-t-norms and implication operators are false, and gives a necessary condition for them being true.