A characterization of categorical many-valued partial orderings by categorical topologies and an application to comma categories

DEMİRCİ M.

Fuzzy Sets and Systems, vol.469, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 469
  • Publication Date: 2023
  • Doi Number: 10.1016/j.fss.2023.108629
  • Journal Name: Fuzzy Sets and Systems
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Communication Abstracts, Computer & Applied Sciences, INSPEC, zbMATH
  • Keywords: Categorical many-valued partial order, Categorical opposite of relation, Categorical topology, Fuzzy partial order, Lattice-valued partial order, Monoidal topology, Opposite conjugate of partially ordered monad, Quantaloid-enriched category
  • Akdeniz University Affiliated: Yes

Abstract

This paper investigates the relationship of the categorical theory of many-valued partially ordered objects introduced in [9] with the categorical theory of topological space objects of U. Höhle, and reveals a very close connection between them. Furthermore, this paper provides an application of the categorical many-valued partial orderings to comma categories structured by small quantaloids.