| Full text | |
| Author(s): |
Sussner, Peter
;
Vicentin, Felipe Scherer
Total Authors: 2
|
| Document type: | Journal article |
| Source: | FUZZY SETS AND SYSTEMS; v. 511, p. 9-pg., 2025-07-01. |
| Abstract | |
In many fields, there is a need to process data that only includes a finite number of values. To express the uncertainty regarding these values, one can use non-empty intervals, called epistemic, that are usually ordered in terms of the product, aka marginal, order. However, a partial order of this form is often insufficient in applications such as decision making, optimization, image segmentation, and edge detection. To this end, the given partial order of the non-empty intervals in a finite chain must be extended to a linear order, known as an admissible order. In this paper, we determine the number of all of these linear extensions and present an algorithm for generating them. (AU) | |
| FAPESP's process: | 23/03449-0 - Investigations on the Construction and Number of Linear Extensions of the Marginal Order on the Class of Subintervals of Any Finite Chain |
| Grantee: | Felipe Scherer Vicentin |
| Support Opportunities: | Scholarships in Brazil - Scientific Initiation |
| FAPESP's process: | 20/09838-0 - BI0S - Brazilian Institute of Data Science |
| Grantee: | João Marcos Travassos Romano |
| Support Opportunities: | Research Grants - Research Centers in Engineering Program |