Generalizations to the constructions of t-norms: Rotation (annihilation) construction

作者：Yi, Zhi-Hong^*; Qin, Feng; Li, Wei-Cai

来源：Fuzzy Sets and Systems, 2008, 159(13): 1619-1630.

DOI：10.1016/j.fss.2007.12.015

• non-classical logics
• fuzzy set theory
• triangular norms
• weak negations
• rotation construction
• rotation-annihilation construction

In this paper, the constructions of triangular norms are investigated. Specially, based on weak negations which are not necessarily involutive, the rotation and the rotation-annihilation constructions are extended. By means of these methods, we can get new families of left-continuous t-norms compatible with weak negations given. However, not all weak negations are suitable for those generalized constructions. To highlight it, some counterexamples are given.

• 出版日期2008-7-1
• 单位江西师范大学