Fuzzy Alexandrov Topologies Associated to Fuzzy Interval Orders | Journal of Mathematics

We characterize the fuzzy T0 - Alexandrov topologies on a crisp set X, which are associated to fuzzy interval orders R on X. In this way, we generalize a well known result by Rabinovitch (1978), according to which a crisp partial order is a crisp interval order if and only if the family of all the strict upper sections of the partial order is nested. Please see the link :- https://www.journalarjom.com/index.php/ARJOM/article/view/30227

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