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Relevant bibliographies by topics / (implicative) falling neutrosophic ideal

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Academic literature on the topic '(implicative) falling neutrosophic ideal'

Author: Grafiati

Published: 4 June 2025

Last updated: 1 August 2025

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Journal articles on the topic "(implicative) falling neutrosophic ideal"

1

Takallo, M. Mohseni, Rajab Ali Borzooei, Seok-Zun Song, and Young Bae Jun. "Implicative ideals of BCK-algebras based on MBJ-neutrosophic sets." AIMS Mathematics 6, no. 10 (2021): 11029–45. http://dx.doi.org/10.3934/math.2021640.

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<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. Characteriz

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2

Muhiuddin, G., Seon Jeong Kim та Young Bae Jun. "Implicative 𝒩-ideals of BCK-algebras based on neutrosophic 𝒩-structures". Discrete Mathematics, Algorithms and Applications 11, № 01 (2019): 1950011. http://dx.doi.org/10.1142/s1793830919500113.

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In the present paper, we introduce the concept of neutrosophic implicative [Formula: see text]-ideal in [Formula: see text]-algebras, and investigate several properties. Also, we provide characterizations of the neutrosophic implicative [Formula: see text]-ideal. Furthermore, we discuss relations between neutrosophic positive implicative [Formula: see text]-ideal, neutrosophic commutative [Formula: see text]-ideal and neutrosophic implicative [Formula: see text]-ideal. Finally, we characterize implicative [Formula: see text]-algebra by using neutrosophic implicative [Formula: see text]-ideal.

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3

V., Amarendra Babu, Abida Begum K., and Siva Naga Malleswari V. "MBJ-Neutrosophic Positive Implicative LI-ideals, Associative LI-ideals, and Fantastic LI-ideals." International Journal of Neutrosophic Science 21, no. 2 (2023): 84–97. http://dx.doi.org/10.54216/ijns.210208.

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The MBJ-Neutrosophic positive implicative LI-ideals, the MBJ-Neutrosophic associative LI-ideals, and the MBJ-Neutrosophic fantastic LI-ideals are all introduced in this study. Of all these ideals, several their qualities and corresponding conditions were explored. We have demonstrated how every positive implicative MBJ-Neutrosophic LI-ideal evolved into an MBJ-Neutrosophic LI-ideal, MBJ-Neutrosophic implicative LI-ideal, and MBJ-Neutrosophic fantastic LI-ideal. Additionally, it was demonstrated that any MBJ-Neutrosophic fantastic LI-ideal is a MBJ-Neutrosophic associative LI-ideal.

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4

Satyanarayana, B., Shake Baji, D. Ramesh, and Said Broumi. "Positive Implicative and Commutative BS-Neutrosophic Ideals of BCK/BCI-Algebra." International Journal of Neutrosophic Science 22, no. 2 (2023): 45–59. http://dx.doi.org/10.54216/ijns.220104.

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The notion of Positive Implicative BS-Neutrosophic Ideal, Commutative BS-Neutrosophic Ideal and related properties are investigated. Characterizations of Positive Implicative BS-Neutrosophic Ideal, Commutative BS- Neutrosophic Ideal are discussed.

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5

Jun, Young, Eun Roh, and Mehmet Öztürk. "Positive Implicative Ideals of BCK-Algebras Based on Intuitionistic Falling Shadows." Mathematics 6, no. 9 (2018): 149. http://dx.doi.org/10.3390/math6090149.

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The concepts of a positive implicative ( ∈ , ∈)-intuitionistic fuzzy ideal and a positive implicative falling intuitionistic fuzzy ideal are introduced, and several properties are investigated. Characterizations of a positive implicative ( ∈ , ∈)-intuitionistic fuzzy ideal are obtained, and relations between a positive implicative ( ∈ , ∈)-intuitionistic fuzzy ideal and an intuitionistic fuzzy ideal are discussed. Conditions for an intuitionistic fuzzy ideal to be a positive implicative ( ∈ , ∈)-intuitionistic fuzzy ideal are provided, and relations between a positive implicative ( ∈ , ∈)-intu

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6

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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7

Yang, Yongwei, Xiaolong Xin, and Pengfei He. "Characterizations of MV-Algebras Based on the Theory of Falling Shadows." Scientific World Journal 2014 (2014): 1–11. http://dx.doi.org/10.1155/2014/951796.

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Based on the falling shadow theory, the concept of falling fuzzy (implicative) ideals as a generalization of that of aT∧-fuzzy (implicative) ideal is proposed in MV-algebras. The relationships between falling fuzzy (implicative) ideals andT-fuzzy (implicative) ideals are discussed, and conditions for a falling fuzzy (implicative) ideal to be aT∧-fuzzy (implicative) ideal are provided. Some characterizations of falling fuzzy (implicative) ideals are presented by studying proprieties of them. The product⊛and the up product⊚operations on falling shadows and the upset of a falling shadow are estab

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8

Jun, Young Bae, Min Su Kang, and Chul Hwan Park. "Implicative Ideals of BCK-Algebras Based on the Fuzzy Sets and the Theory of Falling Shadows." International Journal of Mathematics and Mathematical Sciences 2010 (2010): 1–11. http://dx.doi.org/10.1155/2010/819463.

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Based on the theory of falling shadows and fuzzy sets, the notion of a falling fuzzy implicative ideal of a BCK-algebra is introduced. Relations among falling fuzzy ideals, falling fuzzy implicative ideals, falling fuzzy positive implicative ideals, and falling fuzzy commutative ideals are given. Relations between fuzzy implicative ideals and falling fuzzy implicative ideals are provided.

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9

Alifviansyah, Kevin, and Agung Lukito. "BCK-Aljabar Kuadrupel Neutrosofik." MATHunesa: Jurnal Ilmiah Matematika 10, no. 1 (2022): 226–38. http://dx.doi.org/10.26740/mathunesa.v10n1.p226-238.

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Artikel ini memperkenalkan bilangan kuadrupel neutrosofik yang berbasis pada suatu himpunan untuk mengonstruksi BCK-aljabar kuadrupel neutrosofik. Kemudian diselidiki beberapa sifatnya dan akan dipelajari konsep ideal, ideal implikatif positif, ideal tertutup pada BCK-aljabar kuadrupel neutrosofik. Untuk subhimpunan dan dari BCK/BCI-aljabar kuadrupel neutrosofik, akan dikaji himpunan yang terdiri atas bilangan kuadrupel neutrosofik dengan syarat tertentu. Akan disajikan beberapa syarat agar himpunan menjadi ideal implikatif positif pada BCK-Aljabar kuadrupel neutrosofik dan himpunan menjadi id

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10

Borzooei, Rajab Ali, Young Bae Jun, M. Mohseni Takallo, and Sun Shin Ahn. "Positive Implicative Neutrosophic Quadruple BCK-Algebras and Ideals." New Mathematics and Natural Computation 17, no. 02 (2021): 403–23. http://dx.doi.org/10.1142/s1793005721500216.

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Given a set [Formula: see text], conditions for the neutrosophic quadruple [Formula: see text]-set to be a (positive implicative) neutrosophic quadruple [Formula: see text]-algebra are considered. The notion of (positive implicative) neutrosophic quadruple ideal is introduced, and the extended neutrosophic quadruple [Formula: see text]-algebra is established. Several properties are investigated.

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