Convergence structures in L-concave spaces

X. Han, B. Pang*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

Considering a complete residuated lattice L as the lattice background, the concept of (preconcave, concave) L-convergence spaces via L-ordered co-Scott closed sets is introduced and its diagonal axioms are proposed. It is shown that concave L-convergence spaces are isomorphic to strong L-concave spaces in a categorical viewpoint. Also, it is proved that a preconcave L-convergence space satisfies the Kowalsky diagonal axiom if and only if it is concave, and an L-convergence space satisfies the Fischer diagonal axiom if and only if it is concave.

Original languageEnglish
Pages (from-to)61-80
Number of pages20
JournalIranian Journal of Fuzzy Systems
Volume21
Issue number4
DOIs
Publication statusPublished - 2024

Keywords

  • diagonal axiom
  • L-concave space
  • L-convergence space
  • L-convex space
  • L-ordered co-Scott closed set

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