Fuzzy Alexandrov Topologies Associated to Fuzzy Interval Orders
Asian Research 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.
- Fuzzy Alexandrov topology
- fuzzy partial order
- T0 separation axiom.
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