On The Symbolic Turiyam Rings

Singh, Prem Kumar; Ahmad, Katy D.; Bal, Mikail; Aswad, Malath

doi:10.54216/jnfs.010204

Cited by 7 publications

(11 citation statements)

References 14 publications

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“…Recently, symbolic Turiyam rings [16] its modules [17] and matrix [18] is studied for dealing the data with Turiyam set [19]. In this section, the invertibility of a symbolic Turiyam integer is discussed as follows:…”

Section: A Discussion Of the Case Of Symbolic Turiyam Ring Of Integersmentioning

confidence: 99%

“…In the theory of rings, it was very useful to build a bigger ring contains another one, which it is called a ring extension [1][2][11][12][13][14][15]. Recently, it is studied for dealing the four way data analysis using Turiyam ring [16] and its extensive properties [17][18][19] for solving various decision making problems. However basic proof of some conjecture and equations are required to understand the usability of mathematical algebra [20].…”

Section: Introductionmentioning

confidence: 99%

“…For more information about neutrosophic algebra [5][6][7][8][9][10] or four way Turiyam ring author can refer to [16][17][18][19] for basic understanding of mathematical proof [20].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Conjectures for Invertible Diophantine Equations Of 3-Cyclic and 4-Cyclic Refined Integers

Shtawzen¹

2022

JNFS

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Section: A Discussion Of the Case Of Symbolic Turiyam Ring Of Integersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Conjectures for Invertible Diophantine Equations Of 3-Cyclic and 4-Cyclic Refined Integers

Shtawzen¹

2022

JNFS

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“…Matriks turiyam bermula dari himpunan Turiyam, yang merupakan suatu data yang tidak terdefinisi secara pasti. Pada tahap awal himpunan Turiyam digunakan untuk membuat graf dari kondisi yang tidak pasti, kemudian juga untuk data yang tidak pasti dalam bentuk interval [9,10]. Didalam matematika konsep Turiyam yang telah diteliti beberapa penulis, yaitu dalam bentuk vektor, ring dan group [11,12].…”

Section: Pendahuluanunclassified

Invers Moore-Penrose pada Matriks Turiyam Simbolik Real

2023

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The symbolic Turiyam matrix is a matrix whose entries contain symbolic Turiyam. Inverse matrices can generally be determined if the matrix is a non-singular square matrix. Currently the inverse of the symbolic Turiyam matrix of size m × n with m 6= n can be determined by the Moore-Penrose inverse. The purpose of this research is to determine the inverse Moore-Penrose algorithm on a real symbolic Turiyam matrix of size m × n with m 6= n. Algebraic operations on symbolic Turiyam is a method used to obtain the Moore-Penrose inverse on real symbolic Turiyam matrices by applying symbolic Turiyam algebraic operations on the concept of Moore-Penrose inverses. The main result obtained is the inverse Moore-Penrose algorithm on the real symbolic Turiyam matrix. The demonstration example given shows that the Moore-Penrose inverse on a real symbolic Turiyam matrix always exists even though the matrix is not a square matrix.

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“…The exploration of these types of data sets is based on human cognition and its consciousness to characterize them in true (t), false (f), uncertain (i) or undefined or Turiyam regions (l), independently [12][13]. The algebra of Turiyam set provides a way to represent these types of data sets more precisely for knowledge processing tasks [14][15] (i) 𝑇 " ∧ 𝑇 # = ((𝑡 " ∧ 𝑡 # ), (𝑖 " ∨ 𝑖 # ), (𝑓 " ∨ 𝑓 # ), (𝑙 " ∧ 𝑙 # )).…”

Section: Introductionmentioning

confidence: 99%

Four Way Human Quantum Turiyam Cognition Analysis

Singh¹

2022

JAIT

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Recently, the Turiyam set was introduced for characterization of data sets beyond true, false and uncertain regions. This set is able to represent unknown, undefined, or conduit metaphor of human quantum cognition. One of the examples is USA-Russia conflicts or Cold war is beyond the characterization of win, draw or loss. It is totally based on the conduit metaphor of USA and Russia. In this case, a set of countries may support Russia (Sr) can be characterized as true regions. A set of countries does not support Russia (i.e. supporting the USA) can be characterized as false regions (Su). A set of countries supports both Russia-USA based on the given situation. These types of countries and their vote is uncertain. The fourth case is some countries like India, China, UAE choose nothing to fulfill their conduit metaphor. It is called Turiyam or four dimension cognition. The characterization of this four dimension data and its graphical visualization is one of the crucial tasks for the current researchers. To tackle this issue, the current paper will try to introduce a method for characterization of this undefined, unknown or Turiyam cognition via a defined interval-set. The objective is to provide a way to explore them in known graph (t), not known graph (f), partial graph (i) or unknown graph (l) with an example.

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On The Symbolic Turiyam Rings

Cited by 7 publications

References 14 publications

Conjectures for Invertible Diophantine Equations Of 3-Cyclic and 4-Cyclic Refined Integers

Conjectures for Invertible Diophantine Equations Of 3-Cyclic and 4-Cyclic Refined Integers

Invers Moore-Penrose pada Matriks Turiyam Simbolik Real

Four Way Human Quantum Turiyam Cognition Analysis

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