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Characterizations of sub-semihypergroups by various triangular norms. (English) Zbl 1081.20079

Summary: We investigate the structure and properties of \(TL\)-sub-semihypergroups, where \(T\) is an arbitrary triangular norm on a given complete lattice \(L\). We study its structure under the direct product and with respect to the fundamental relation. In particular, we consider \(L=[0,1]\) and \(T=\min\), and investigate the connection between \(TL\)-sub-semihypergroups and the probability space.

MSC:

20N20 Hypergroups
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