Implicative falling neutrosophic ideals of BCK-algebras

Authors

  • Xiao Long Xin
  • Hashem Hashem Bordbar Center for Information Technologies and Applied Mathematics, University of Nova Gorica
  • Florentin Smarandache
  • Rajab Ali Borzooei
  • Young Bae Jun

Abstract

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

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Published

2021-02-28

Issue

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

How to Cite

Xin, X. L., Hashem Bordbar, H., Smarandache, F., Borzooei, R. A., & Jun, Y. B. (2021). Implicative falling neutrosophic ideals of BCK-algebras. Neutrosophic Sets and Systems, 40, 214-234. https://fs.unm.edu/nss8/index.php/111/article/view/829

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