M. OJAGHI, S. Montes, I. Mariñas-Collado
The ordering of intervals is essential in several mathematical and computational applications; however, traditional ordering techniques often fail due to incomplete comparability. This work introduces the concept of ordering degree, which measures the extent to which one interval precedes another based on a given order relation. We examine two fundamental partial orders: the lattice order and the content relation, proposing a methodology to quantify their degree of ordering. To develop this framework, we take into account the epistemic interpretation of intervals, which allows us to define different families of measures that reflect varying degrees of knowledge and uncertainty. By defining a real-valued function that adheres to fundamental principles, we provide a systematic approach for interval comparison even in the absence of total orders. The proposed methodology has potential applications in decision-making, optimization, and fuzzy logic systems.
Keywords: Interval ordering, partial order, lattice order, content relation, ordering degree
Scheduled
Multicriteria Decision Analysis I
June 10, 2025 3:30 PM
Auditorio 1. Ricard Vinyes