Characterizations of Sub-Semihypergroups by Various Triangular Norms |
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| Authors: | B. Davvaz |
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| Affiliation: | (1) Department of Mathematics, Yazd University, Yazd, Iran |
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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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| Keywords: | semihypergroup complete lattice triangular norm fundamental relation probability space |
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