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Relevant bibliographies by topics / Neutrosophic BCI-algebras

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Academic literature on the topic 'Neutrosophic BCI-algebras'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Neutrosophic BCI-algebras"

1

Agboola, A. A. A., and B. Davvaz. "Introduction to Neutrosophic BCI/BCK-Algebras." International Journal of Mathematics and Mathematical Sciences 2015 (2015): 1–6. http://dx.doi.org/10.1155/2015/370267.

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2

Muhiuddin, G. "p-ideals of BCI-algebras based on neutrosophic N -structures." Journal of Intelligent & Fuzzy Systems 40, no. 1 (2021): 1097–105. http://dx.doi.org/10.3233/jifs-201309.

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In this paper, neutrosophic N -structures are applied to p-ideals of BCI-algebras. In fact, we introduce the notion of neutrosophic N -p-ideal in BCI-algebras, and investigate several properties. Further, we present characterizations of neutrosophic N -p-ideal. Moreover, we consider relations between a neutrosophic N -ideal and a neutrosophic N -p-ideal. Also, we provide conditions for a neutrosophic N -ideal to be a neutrosophic N -p-ideal. Furthermore, it is proved that the neutrosophic N -structure Q N G over Q is a neutrosophic N p -ideal of Q ⇔ G is a p-ideal of Q where G is a non-empty s

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3

Jun, Young Bae, Seok-Zun Song, and Seon Jeong Kim. "Neutrosophic Quadruple BCI-Positive Implicative Ideals." Mathematics 7, no. 5 (2019): 385. http://dx.doi.org/10.3390/math7050385.

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By considering an entry (i.e., a number, an idea, an object, etc.) which is represented by a known part ( a ) and an unknown part ( b T , c I , d F ) where T , I , F have their usual neutrosophic logic meanings and a , b , c , d are real or complex numbers, Smarandache introduced the concept of neutrosophic quadruple numbers. Using the concept of neutrosophic quadruple numbers based on a set, Jun et al. constructed neutrosophic quadruple BCK/BCI-algebras and implicative neutrosophic quadruple BCK-algebras. The notion of a neutrosophic quadruple BCI-positive implicative ideal is introduced, and

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4

Jun, Young Bae, and Eun Hwan Roh. "MBJ-neutrosophic ideals of BCK/BCI-algebras." Open Mathematics 17, no. 1 (2019): 588–601. http://dx.doi.org/10.1515/math-2019-0106.

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Abstract The notion of MBJ-neutrosophic ideal is introduced, and its properties are investigated. Conditions for an MBJ-neutrosophic set to be an MBJ-neutrosophic ideal are provided. In a BCK/BCI-algebra, a condition for an MBJ-neutrosophic set to be an MBJ-neutrosophic ideal is given. In a BCK-algebra, a condition for an MBJ-neutrosophic subalgebra to be an MBJ-neutrosophic ideal is given. In a BCI-algebra, conditions for an MBJ-neutrosophic ideal to be an MBJ-neutrosophic subalgebra are considered. In an (S)-BCK-algebra, we show that every MBJ-neutrosophic ideal is an MBJ-neutrosophic ∘-suba

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5

Jun, Young, Seok-Zun Song, Florentin Smarandache, and Hashem Bordbar. "Neutrosophic Quadruple BCK/BCI-Algebras." Axioms 7, no. 2 (2018): 41. http://dx.doi.org/10.3390/axioms7020041.

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6

Jaíyéọlá, Tèmítọ́pẹ́, Emmanuel Ilojide, Memudu Olatinwo, and Florentin Smarandache. "On the Classification of Bol-Moufang Type of Some Varieties of Quasi Neutrosophic Triplet Loop (Fenyves BCI-Algebras)." Symmetry 10, no. 10 (2018): 427. http://dx.doi.org/10.3390/sym10100427.

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In this paper, Bol-Moufang types of a particular quasi neutrosophic triplet loop (BCI-algebra), chritened Fenyves BCI-algebras are introduced and studied. 60 Fenyves BCI-algebras are introduced and classified. Amongst these 60 classes of algebras, 46 are found to be associative and 14 are found to be non-associative. The 46 associative algebras are shown to be Boolean groups. Moreover, necessary and sufficient conditions for 13 non-associative algebras to be associative are also obtained: p-semisimplicity is found to be necessary and sufficient for a F 3 , F 5 , F 42 and F 55 algebras to be as

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7

G., Muhiuddin and Y. B. Jun. "p-semisimple neutrosophic quadruple BCI-algebras and neutrosophic quadruple p-ideals." Annals of Communications in Mathematics 1, no. 1 (2018): 26–37. https://doi.org/10.5281/zenodo.10041027.

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Characterizations of neutrosophic quadruple BCI-algebra are considered. Conditions for the neutrosophic quadruple BCI-set to be a p-semisimple BCI-algebra are provided. A condition for a subalgebra to be an ideal in neutrosophic quadruple BCIalgebra is given. Conditions for the set NQ(A, B) to be a neutrosophic quadruple closed ideal and neutrosophic quadruple p-ideal are discussed. Characterizations of neutrosophic quadruple p-ideal are considered. 

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8

Zhang, Xiaohong, Xiaoyan Mao, Yuntian Wu, and Xuehuan Zhai. "NEUTROSOPHIC FILTERS IN PSEUDO-BCI ALGEBRAS." International Journal for Uncertainty Quantification 8, no. 6 (2018): 511–26. http://dx.doi.org/10.1615/int.j.uncertaintyquantification.2018022057.

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9

Arsham Borumand Saeid and YoungBaeJun. "Neutrosophic subalgebras of $BCK/BCI$-algebras based on neutrosophic points." ANNALS OF FUZZY MATHEMATICS AND INFORMATICS 14, no. 1 (2017): 87–97. http://dx.doi.org/10.30948/afmi.2017.14.1.87.

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10

Jun, Young, Florentin Smarandache, and Hashem Bordbar. "Neutrosophic N-Structures Applied to BCK/BCI-Algebras." Information 8, no. 4 (2017): 128. http://dx.doi.org/10.3390/info8040128.

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