A study on the transitivity of probabilistic and fuzzy relations |
| |
Authors: | D. Martinetti I. Montes,S. Dí az,S. Montes |
| |
Affiliation: | Department of Statistics and O.R., University of Oviedo, Spain |
| |
Abstract: | Given a set of alternatives we consider a fuzzy relation and a probabilistic relation defined on such a set. We investigate the relation between the T-transitivity of the fuzzy relation and the cycle-transitivity of the associated probabilistic relation. We provide a general result, valid for any t-norm and we later provide explicit expressions for important particular cases. We also apply the results obtained to explore the transitivity satisfied by the probabilistic relation defined on a set of random variables. We focus on uniform continuous random variables. |
| |
Keywords: | Probabilistic relation Fuzzy relation T-transitivity Cycle-transitivity Stochastic order |
本文献已被 ScienceDirect 等数据库收录! |