<p>We compute the number of <i>D</i>-fuzzy topologies of small size in the set of all mappings from a finite set into a diamond <i>D</i>. We also compute the number of chains and antichains satisfying related properties. Several cases are left open for future investigations.</p>

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Finite D-Fuzzy Topologies

  • Moussa Benoumhani,
  • Ali Jaballah

摘要

We compute the number of D-fuzzy topologies of small size in the set of all mappings from a finite set into a diamond D. We also compute the number of chains and antichains satisfying related properties. Several cases are left open for future investigations.