Hashem Bordbar (Author), Sun Shin Ahn (Author), Mohammad Mehdi Zahedi (Author), Young Bae Jun (Author)

Abstract

The notion of the meet set based on two subsets of a lower BCK-semilattice X is introduced, and related properties are investigated. Conditions for the meet set to be a (positive implicative, commutative, implicative) ideal are discussed. The meet ideal based on subsets, and the plus ideal of two subsets in a lower BCK-semilattice X are also introduced, and related properties are investigated. Using the meet operation and addition, the semiring structure is induced.

Keywords

lower BCK-semilattice;meet sets;meet ideal;plus ideal;meet operation;semiring;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UNG - University of Nova Gorica
UDC: 51
COBISS: 5489915 Link will open in a new window
ISSN: 1521-1398
Parent publication: Journal of computational analysis and applications
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Other data

URN: URN:SI:UNG
Type (COBISS): Not categorized
Pages: str. 945-954
Volume: ǂVol. ǂ23
Issue: ǂno. ǂ5
Chronology: 2017
ID: 11314165