A General Model of Neutrosophic Ideals in BCK/BCI-algebras Based on Neutrosophic Points

Bordbar, Hashem; Borzooei, Rajab Ali; Smarandache, Florentín; Jun, Young Bae

doi:10.18778/0138-0680.2020.18

Cited by 2 publications

(1 citation statement)

References 17 publications

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“…In 1994, Biswas and Nanda introduced and examined the concept of rough groups and rough subgroups in [6]. Jun applied rough set theory to BCK-algebras in [7,15,20]. More recently, Rasouli introduced and studied the notion of roughness in MV-algebras in [22].…”

Section: Introductionmentioning

confidence: 99%

Ideals of roughness in L-algebras

Shirvani Bourojeni

2023

JAHLA

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Rough is an exceptional mathematical tool for effectively analyzing and addressing the complexities of vague action descriptions in decision problems. This paper explores the concept of an L-algebra, which leads to the introduction of lower and upper approximations. The properties of these approximations are also discussed and elucidated. Furthermore, it is proven that the lower and upper approximations serve as interior and closure operators, respectively. Additionally, by employing A-lower and A-upper approximations, this paper presents and examines conditions for a nonempty subset to be definable. Furthermore, we investigated the circumstances under which the A-lower and A-upper approximations can be rough ideals. Finally, we define an operation ‎" -->"‎ on the set of all upper approximations of L ‎and ‎prove ‎that ‎it ‎is ‎made ‎an ‎‎L-algebra.

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Section: Introductionmentioning

confidence: 99%

Ideals of roughness in L-algebras

Shirvani Bourojeni

2023

JAHLA

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Graphs of Wajsberg Algebras via Complement Annihilating

Gürsoy

2023

Symmetry

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In this paper, W-graph, called the notion of graphs on Wajsberg algebras, is introduced such that the vertices of the graph are the elements of Wajsberg algebra and the edges are the association of two vertices. In addition to this, commutative W-graphs are also symmetric graphs. Moreover, a graph of equivalence classes of Wajsberg algebra is constructed. Meanwhile, new definitions as complement annihilator and ▵-connection operator on Wajsberg algebras are presented. Lemmas and theorems on these notions are proved, and some associated results depending on the graph’s algebraic properties are presented, and supporting examples are given. Furthermore, the algorithms for determining and constructing all these new notions in each section are generated.

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A General Model of Neutrosophic Ideals in BCK/BCI-algebras Based on Neutrosophic Points

Cited by 2 publications

References 17 publications

Ideals of roughness in L-algebras

Ideals of roughness in L-algebras

Graphs of Wajsberg Algebras via Complement Annihilating

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