Commutative falling neutrosophic ideals in BCK-algebras

Authors

  • Young Bae Jun Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea
  • Florentin Smarandache University of New Mexico, Math & Science Division, 705 Gurley Ave., Gallup, NM 87301, USA
  • Mehmat Ali O¨ztu¨rk Faculty of Arts and Sciences, Adiyaman University, 02040 Adiyaman, Turkey.

Keywords:

neutrosophic random set, neutrosophic falling shadow, (commutative) falling neutrosophic ideal.

Abstract

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

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Published

2018-04-28

Issue

Vol. 20 (2018): Neutrosophic Sets and Systems

Section

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

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Young Bae Jun, Smarandache, F., & Mehmat Ali O¨ztu¨rk. (2018). Commutative falling neutrosophic ideals in BCK-algebras. Neutrosophic Sets and Systems, 20, 44-53. http://fs.unm.edu/nss8/index.php/111/article/view/285

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