Fuzzy Alexandrov Topologies Associated to Fuzzy Interval Orders

Main Article Content

Gianni Bosi
Chiaramaria Panozzo
Magal`ı Ernestine Zuanon

Abstract

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.

Keywords:
Fuzzy Alexandrov topology, fuzzy partial order, T0 separation axiom.

Article Details

How to Cite
Bosi, G., Panozzo, C., & Zuanon, M. E. (2020). Fuzzy Alexandrov Topologies Associated to Fuzzy Interval Orders. Asian Research Journal of Mathematics, 16(10), 1-6. https://doi.org/10.9734/arjom/2020/v16i1030227
Section
Original Research Article

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