Narrow Results

Uninorms combining t-conorms and t-norms on bounded lattices have lately drawn extensive interest. In this article, we propose two ways for constructing uninorms on a bounded lattice with an identity element. They benefit from the appearance of the t-norm (resp. t-conorm) and the closure operator (resp. interior operator) on a bounded lattice. Additionally, we include some illustrative examples to highlight that our procedures differ from others in the literature.

This paper consists of the proof of the equivalence between two fuzzy strong $\varphi$-b-norms on finite-dimensional linear space and establish a Banach-type contraction theorem in this new setting.