Implicative ideals of BCK-algebras based on MBJ-neutrosophic sets

Author:

Takallo M. Mohseni, ,Borzooei Rajab Ali,Song Seok-Zun,Jun Young Bae, ,

Abstract

<abstract><p>The MBJ-neutrosophic set is applied to the implicative ideal of BCK-algebra to introduce the concept of implicative MBJ-neutrosophic ideal. Several properties are investigated. The relationship between implicative MBJ-neutrosophic ideal and each MBJ-neutrosophic subalgebra, (positive implicative, commutative) MBJ-neutrosophic ideal is established. Conditions for MBJ-neutrosophic subalgebra (resp., MBJ-neutrosophic ideal, positive implicative MBJ-neutrosophic ideal and commutative MBJ-neutrosophic ideal) to be implicative MBJ-neutrosophic ideal are provided. Characterizations of implicative MBJ-neutrosophic ideal are discussed.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference13 articles.

1. L. A. Zadeh, Fuzzy sets, Inf. Control, 8 (1965), 338–353.

2. F. Smarandache, Neutrosophic probability, set, and logic, Bull. Transilv. Univ. Braşov Ser. B (N.S.), 6 (1999), 41–48.

3. F. Smarandache, A unifying field in logics. Neutrosophy: Neutrosophic probability, set and logic, Rehoboth: American Research Press, 1999.

4. F. Smarandache, Neutrosophic set-a generalization of the intuionistic fuzzy set, Int. J. Pure Appl. Math., 24 (2005), 287–297.

5. G. Muhiuddin, $p$-ideals of BCI-algebras based on neutrosophic ${\mathcal N}$-structures, J. Intell. Fuzzy Syst., 40 (2021), 1097–1105.

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