Journal
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
Volume 49, Issue 3, Pages 277-301Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/03081079.2020.1730358
Keywords
Triangular norm; triangular conorm; linear combination; convex combination; bounded lattice
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In 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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