2006/08/04 by F Dambreville, Frederic Dambreville, Dambreville, Frederic
Decision Sciences · Mathematics · #Advanced Mathematical Theories #FOS: Mathematics #Fuzzy and Soft Set Theory #General Mathematics (math.GM) #math.GM
paper · pdf · doi:10.48550/arxiv.math/0608119
arxiv created 2006/08/04 · openalex publication_date 2006/08/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
When implementing the DSmT, a difficulty may arise from the possible huge dimension of hyperpower sets, which are indeed free structures. However, it is possible to reduce the dimension of these structures by involving logical constraints. In this chapter, the logical constraints will be related to a predefined order over the logical propositions. The use of such orders and their resulting logical constraints will ensure a great reduction of the model complexity. Such results will be applied to the definition of continuous DSm models. In particular, a simplified description of the continuous impreciseness is considered, based on impreciseness intervals of the sensors. From this viewpoint, it is possible to manage the contradictions between continuous sensors in a DSmT manner, while the complexity of the model stays handlable.