CHARACTERIZATIONS OF SUB-SEMIHYPERGROUPS BY VARIOUS TRIANGULAR NORMS


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Abstract

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.

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