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Direct Approaches for Representations of Various Algebraic Domains via Closure Spaces | TUP Journals & Magazine | IEEE Xplore

Direct Approaches for Representations of Various Algebraic Domains via Closure Spaces


Abstract:

In this paper, F-augmented closure spaces are generalized to F-closure spaces, and the concept of F-closed sets are introduced. Properties of their ordered structures are...Show More

Abstract:

In this paper, F-augmented closure spaces are generalized to F-closure spaces, and the concept of F-closed sets are introduced. Properties of their ordered structures are investigated. Representations of various algebraic domains such as algebraic lattices, algebraic L-domains, BF-domains via F-closure spaces are considered. As applications of these methods, more direct approaches to representing various algebraic domains via classical closure space are given, respectively. F-relations between F-closure spaces are defined and properties of them are examined. It is also proved that the category of algebraic domains with Scott continuous maps is equivalent to that of F-closure spaces with F-relations.
Published in: Fuzzy Information and Engineering ( Volume: 16, Issue: 2, June 2024)
Page(s): 121 - 143
Date of Publication: June 2024

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