Xiao Long Xin (Author), Hashem Bordbar (Author), Florentin Smarandache (Author), Rajab Ali Borzooei (Author), Young Bae Jun (Author)

Abstract

The notions of an implicative (2; 2)-neutrosophic ideal and an implicative falling neutrosophic ideal are introduced, and several properties are investigated. Characterizations of an implicative (2; 2)-neutrosophic ideal are considered, and relations between an implicative (2; 2)-neutrosophic ideal and an (2; 2)-neutrosophic ideal are discussed. Conditions for an (2; 2)-neutrosophic ideal to be an implicative (2; 2)-neutrosophic ideal are provided, and relations between an implicative (2; 2)-neutrosophic ideal, a falling neutrosophic ideal and an implicative falling neutrosophic ideal are studied. Conditions for a falling neutrosophic ideal to be implicative are provided. Relations between implicative falling neutrosophic ideal, commutative falling neutrosophic ideal and positive implicative falling neutrosophic ideal are discussed.

Keywords

neutrosophic random set;neutrosophic falling shadow;(positive implicative) (2, 2)-neutrosophic ideal;(positive implicative) falling neutrosophic ideal;(commutative) (2, 2)-neutrosophic ideal;(commutative) falling neutrosophic ideal;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UNG - University of Nova Gorica
UDC: 512
COBISS: 55217411 Link will open in a new window
ISSN: 2331-6055
Parent publication: Neutrosophic sets and systems
Views: 1380
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Other data

URN: URN:SI:UNG
Pages: str. 214-234
Issue: ǂVol. ǂ40
Chronology: 2021
DOI: 10.5281/zenodo.4549396
ID: 12650137