Methods for Constructing Implications on Bounded Posets
21st International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2026, Rome, Italy, 15 - 19 June 2026, vol.3021 CCIS, pp.339-350, (Full Text)
- Publication Type: Conference Paper / Full Text
- Volume: 3021 CCIS
- Doi Number: 10.1007/978-3-032-29000-7_24
- City: Rome
- Country: Italy
- Page Numbers: pp.339-350
- Keywords: Aggregation functions, Bounded poset, Implication operator, Increasing function in both arguments, Neutral element 1 (0), T-Conorm, T-norm
- Karadeniz Technical University Affiliated: Yes
Abstract
In this paper, we present several construction methods for implication operators on bounded posets through functions that are increasing in each argument and possess a neutral element 0 or 1, together with the necessary and sufficient conditions. In addition, we obtain some propositions and results from these construction methods. Additionally, we provide examples on bounded lattices and general posets to clarify these construction methods.