Generalized convex combination of triangular norms on bounded lattices |
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| Authors: | Funda Karaçal Ümit Ertuğrul |
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| Affiliation: | 1. Department of Mathematics, Karadeniz Technical University, Trabzon, Turkey https://orcid.org/0000-0002-2602-1788;2. Department of Mathematics, Karadeniz Technical University, Trabzon, Turkeyhttps://orcid.org/0000-0003-0672-8134 |
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| Abstract: | ABSTRACTIn this paper, we introduce the notions of the linear and generalized convex combination (shortly, g-convex combination) for triangular norms on bounded lattices. We investigate the conditions for the g-convex combination to be a triangular norm again. We introduce a triangular norm defined on a bounded lattice of equivalence classes and investigate some basic properties of the introduced triangular norm. |
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| Keywords: | Triangular norm triangular conorm linear combination convex combination bounded lattice |
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![ORCID Icon]({"type":"image","src":"/templates/jsp/images/orcid.png"} "ORCID Icon")
https://orcid.org/0000-0002-2602-1788;2. Department of Mathematics, Karadeniz Technical University, Trabzon, Turkey