Scott convergence and fuzzy Scott topology onL-posets

• Autorzy: Hongping Liu , Ling Chen
• Języki publikacji: EN

Abstrakty

EN

We firstly generalize the fuzzy way-below relation on an L-poset, and consider its continuity by means of this relation. After that, we introduce a kind of stratified L-generalized convergence structure on an L-poset. In terms of that, L-fuzzy Scott topology and fuzzy Scott topology are considered, and the properties of fuzzy Scott topology are discussed in detail. At last, we investigate the Scott convergence of stratified L-filters on an L-poset, and show that an L-poset is continuous if and only if the Scott convergence on it coincides with the convergence with respect to the corresponding topological space.

Słowa kluczowe

EN

L-poset; Convergence structure; Scott topology; Stratified L-filter

Kategorie tematyczne

• 03E72: Fuzzy set theory
• 54A40: Fuzzy topology
• 06A06: Partial order, general

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 815-827

Daty

wydano

2017-01-01

otrzymano

2016-10-06

zaakceptowano

2017-04-03

online

2017-06-22

Twórcy

autor

Hongping Liu

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autor

Ling Chen

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Identyfikatory

DOI

10.1515/math-2017-0067