On the symbolic Turiyam rings

PK Singh, KD Ahmad, M Bal, M Aswad - Journal of neutrosophic and …, 2022 - hal.science
In this paper, we define for the first time the concept of symbolic Turiyam ring as a direct
application of Turiyam symbolic set and as a new generalization of neutrosophic rings. Also …

[PDF][PDF] On The Foundations of Fuzzy Number Theory and Fuzzy Diophantine Equations

M Abobala - Galoitica: Journal of Mathematical Structures and …, 2023 - researchgate.net
Despite the great and rapid progress in the study of Fuzzy Logic and its applications in
various scientific fields, it has not yet been used to build a consistent number theory like …

[PDF][PDF] A short note on the kernel subgroup of intuitionistic fuzzy groups

M Bal, KD Ahmad, AA Hajjari, R Ali - Journal of Neutrosophic and …, 2022 - researchgate.net
This paper defines the concept of kernel subgroup of an intuitionistic fuzzy group. Also, it
proves that this kernel is a group in the ordinary algebraic meaning as a direct application of …

[PDF][PDF] An introduction to the symbolic Turiyam R-modules and Turiyam modulo integers

M Bal, PK Singh, KD Ahmad - Journal of Neutrosophic and Fuzzy …, 2022 - researchgate.net
Recently, Turiyam set is introduced for dealing the fourth dimensional data sets. These types
of data sets exists when an expert unable to categorize them in Euclidean, Non-Euclidean …

[PDF][PDF] A Review On Recent Developments In Neutrosophic Linear Diophantine Equations

M Bal, KD Ahmad, R Ali - Journal of Neutrosophic and Fuzzy …, 2022 - researchgate.net
A Review On Recent Developments In Neutrosophic Linear Diophantine Equations Page 1
Journal of Neutrosophic and Fuzzy Systems (JNFS) Vol. 2, No. 1, PP. 61-75, 2022 Doi : https://doi.org/10.54216/JNFS.020106 …

[PDF][PDF] A short introduction to the symbolic Turiyam vector spaces and complex numbers

M Bal, PK Singh, DA Katy - Journal of Neutrosophic and Fuzzy …, 2022 - researchgate.net
This paper is dedicated to define for the first time the concept of Symbolic Turiyam vector
space as a generalization of the corresponding neutrosophic one by using the algebra of …

[PDF][PDF] A short introduction to the concept of symbolic Turiyam matrix

M Bal, PK Singh, KD Ahmad - Journal of Neutrosophic and Fuzzy …, 2022 - researchgate.net
Recently, Turiyam set is introduced to deal with data set beyond three-way fuzzy space. In
this process a problem is addressed while precise representation of Turiyam attributes in …

[PDF][PDF] An Effective Algorithm for Solving Weak Fuzzy Complex Diophantine Equations in Two Variables

M Abualhomos, WMM Salameh… - International Journal …, 2024 - researchgate.net
Weak fuzzy complex numbers are defined as 𝑎+ 𝑏𝜀, with 𝜀2𝑏𝑒𝑙𝑜𝑛𝑔𝑠 𝑡𝑜] 0, 1 [as an
extension of real numbers with 𝑎, 𝑏∈ 𝑅. This paper is dedicated to studying weak fuzzy …

On the Classification of n-Refined Neutrosophic Rings and Its Applications in Matrix Computing Algorithms and Linear Systems

KD Ahmad, NN Thjeel, MMA Zahra… - International Journal Of …, 2022 - hal.science
This work is dedicated to classifying the general n-refined neutrosophic ring by building a
ring isomorphism and the direct product of the corresponding classical rings with itself. On …

[PDF][PDF] The Structure Of Imperfect Triplets In Several Refined Neutrosophic Rings

M Bal, KD Ahmad, AA Hajjari, R Ali - Journal of Neutrosophic …, 2022 - researchgate.net
This paper solves the imperfect triplets problem in refined neutrosophic rings, where it
presents the necessary and sufficient conditions for a triple (𝑥𝑥, 𝑦𝑦, 𝑧𝑧) to be an imperfect …