Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
389293 | Fuzzy Sets and Systems | 2014 | 13 Pages |
Abstract
Continuing to pursue a research direction that we already explored in connection with Gödel–Dummett logic and Ruspini partitions, we show here that Łukasiewicz logic is able to express the notion of pseudo-triangular basis of fuzzy sets, a mild weakening of the standard notion of triangular basis. En route to our main result we obtain an elementary, logic-independent characterisation of triangular bases of fuzzy sets.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Pietro Codara, Ottavio M. D'Antona, Vincenzo Marra,