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Characterizations of sub-semihypergroups by various triangular norms
Czechoslovak Mathematical Journal, Tome 55 (2005) no. 4, pp. 923-932
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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.
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.
Classification : 20N20
Keywords: semihypergroup; complete lattice; triangular norm; fundamental relation; probability space 
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Davvaz, B. Characterizations of sub-semihypergroups by various triangular norms. Czechoslovak Mathematical Journal, Tome 55 (2005) no. 4, pp. 923-932. http://geodesic.mathdoc.fr/item/CMJ_2005_55_4_a8/

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