<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, the notion of closed cubic intuitionistic ideals, cubic intuitionistic <italic>p</italic>-ideals and cubic intuitionistic <italic>a</italic>-ideals in <italic>BCI</italic>-algebras are introduced, and several related properties are investigated. Relations between cubic intuitionistic subalgebras, closed cubic intuitionistic ideals, cubic intuitionistic <italic>q</italic>-ideals, cubic intuitionistic <italic>p</italic>-ideals and cubic intuitionistic <italic>a</italic>-ideals are discussed. Conditions for a cubic intuitionistic ideal to be a cubic intuitionistic <italic>p</italic>-ideal are provided. Characterizations of a cubic intuitionistic <italic>a</italic>-ideal are considered. The cubic intuitionistic extension property for a cubic intuitionistic <italic>a</italic>-ideal is established.</p></abstract>

In this paper, the notion of closed cubic intuitionistic ideals, cubic intuitionistic p-ideals and cubic intuitionistic a-ideals in BCI-algebras are introduced, and several related properties are investigated. Relations between cubic intuitionistic subalgebras, closed cubic intuitionistic ideals, cubic intuitionistic q-ideals, cubic intuitionistic p-ideals and cubic intuitionistic a-ideals are discussed. Conditions for a cubic intuitionistic ideal to be a cubic intuitionistic p-ideal are provided. Characterizations of a cubic intuitionistic a-ideal are considered. The cubic intuitionistic extension property for a cubic intuitionistic a-ideal is established.

Cubic Intuitionistic Structures Applied to Ideals of <italic>BCI</italic>-Algebras

Department of Applied Mathematics with Oceanology and Computer Programming

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Cubic Intuitionistic Structures Applied to Ideals of -Algebras

In this paper, the notion of closed cubic intuitionistic ideals, cubic intuitionistic p-ideals and cubic intuitionistic a-ideals in BCI-algebras are...

Cubic Intuitionistic Structures Applied to Ideals of BCI-Algebras

Publié en ligne: 26 sept. 2019

Pages: 213 - 232

Reçu: 26 juin 2018

Accepté: 08 oct. 2018

DOI: https://doi.org/10.2478/auom-2019-0028

Mots clés
Cubic intuitionistic subalgebra, closed cubic intuitionistic ideal, cubic intuitionistic -ideal, cubic intuitionistic -ideal, cubic intuitionistic -ideal

© 2019 Tapan Senapati et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Cubic Intuitionistic Structures Applied to Ideals of BCI-Algebras

Publié en ligne: 26 sept. 2019

Pages: 213 - 232

Reçu: 26 juin 2018

Accepté: 08 oct. 2018

DOI: https://doi.org/10.2478/auom-2019-0028

Mots clésCubic intuitionistic subalgebra, closed cubic intuitionistic ideal, cubic intuitionistic -ideal, cubic intuitionistic -ideal, cubic intuitionistic -ideal

© 2019 Tapan Senapati et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
Cubic intuitionistic subalgebra, closed cubic intuitionistic ideal, cubic intuitionistic -ideal, cubic intuitionistic -ideal, cubic intuitionistic -ideal