scholarly journals Ordinal sums of triangular norms on a bounded lattice

2020 ◽  
Author(s):  
Yao Ouyang ◽  
Hua-Peng Zhang ◽  
Bernard De Baets
Keyword(s):  
Bounded Lattice ◽  
Triangular Norms

Some methods to construct t-norms and t-conorms on bounded lattices

2021 ◽  
pp. 1-16
Author(s):  
Emel Aşıcı
Keyword(s):  
Bounded Lattice ◽  
Triangular Norms ◽  
Construction Methods

In this paper, we give construction methods for triangular norms (t-norms) and triangular conorms (t-conorms) on appropriate bounded lattices. Then, we compare our methods and well-known methods proposed in [2, 8, 19]. Finally, we give different construction methods for t-norms and t-conorms on an appropriate bounded lattice by using recursion. Also, we provide some examples to discuss introduced methods.

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