A New Construction Method for Uninorms on a Bounded Lattice Through Uninorms on Its Subintervals
21st International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2026, Rome, Italy, 15 - 19 June 2026, vol.3019 CCIS, pp.43-58, (Full Text)
- Publication Type: Conference Paper / Full Text
- Volume: 3019 CCIS
- Doi Number: 10.1007/978-3-032-28994-0_4
- City: Rome
- Country: Italy
- Page Numbers: pp.43-58
- Keywords: Bounded lattice, Neutral element, T-conorm, T-norm, Uninorm
- Karadeniz Technical University Affiliated: Yes
Abstract
In this paper, we introduce two new methods for constructing uninorms on a bounded lattice L. These methods are based on the use of t-norms (or t-conorms) and uninorms defined on specific subsets of L. Unlike existing approaches that mainly rely on t-norms and t-conorms, our methods also use uninorms defined on subsets of L, which provide greater flexibility. We show that the proposed constructions extend several known methods in the literature and generate new classes of uninorms. Furthermore, several examples are given to illustrate the effectiveness and distinct features of the proposed methods.