Repository of University of Nova Gorica

Show document
A+ | A- | Help | SLO | ENG

Title:Interior BCK/BCI-algebras
Authors:ID Ahn, Sun Shin (Author)
ID bordbar, Hashem (Author)
ID Jun, Young Bae (Author)
Files:URL https://www.atlantis-press.com/journals/ijcis/125958354
 
Language:English
Work type:Unknown
Typology:1.01 - Original Scientific Article
Organization:UNG - University of Nova Gorica
Abstract:The notions of interior BCK/BCI-algebras, positive implicative interior BCK-algebras, (weak) interior ideals, positive implicative interior ideals, a positive implicative weak interior ideal of type 1, type 2, and type 3 are introduced, and related properties are investigated. A mapping is provided to the set of all involutions of a bounded BCK-algebra in relation to any interior BCKalgebra so that the set of all involutions of a bounded BCK-algebra can be an interior BCK-algebra. The relationship between interior ideals, weak interior ideals, and positive implicative interior ideals is established. The conditions under which a weak interior ideal can change to an interior ideal are founded. The conditions for an interior ideal to be a positive implicative interior ideal are provided. The scalability for a positive implicative interior ideal is discussed. The relationship between type 1, type 2, and type 3 on positive implicative weak interior ideals are investigated. The relationship between weak interior ideal and positive implicative weak interior ideal of type 1, type 2, and type 3 are established.
Keywords:interior BCK/BCI-algebras, positive implicative interior, BCK-algebras, (weak) interior ideals, positive implicative interior ideals
Year of publishing:2021
Number of pages:str. 1923-1933
Numbering:Vol. 14, no. 1
PID:20.500.12556/RUNG-6654 New window
COBISS.SI-ID:71032067 New window
UDC:51
ISSN on article:1875-6883
DOI:10.2991/ijcis.d.210622.002 New window
NUK URN:URN:SI:UNG:REP:FTW3MG8A
Publication date in RUNG:21.07.2021
Views:3057
Downloads:48
Metadata:XML DC-XML DC-RDF
:
AHN, Sun Shin, BORDBAR, Hashem and JUN, Young Bae, 2021, Interior BCK/BCI-algebras. International journal of computational intelligence systems [online]. 2021. Vol. 14, no. 1, p. 1923–1933. [Accessed 7 April 2025]. DOI 10.2991/ijcis.d.210622.002. Retrieved from: https://www.atlantis-press.com/journals/ijcis/125958354
Copy citation
  
Average score:
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
(0 votes)
Your score:Voting is allowed only for logged in users.
Share:Bookmark and Share


Searching for similar works...Please wait....
Hover the mouse pointer over a document title to show the abstract or click on the title to get all document metadata.

Record is a part of a journal

Title:International journal of computational intelligence systems
Publisher:Atlantis
ISSN:1875-6883
COBISS.SI-ID:16056598 New window

Back