ABSTRACT 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.

中文翻译：

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有界格上三角范数的广义凸组合

摘要 在本文中，我们介绍了有界格上三角范数的线性和广义凸组合（简称 g-凸组合）的概念。我们再次研究 g-凸面组合成为三角范数的条件。我们引入了定义在等价类的有界格上的三角范数，并研究了引入的三角范数的一些基本性质。