A Short Introduction To The Concept Of Symbolic Turiyam Matrix

Abstract

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 matrix format for knowledge processing tasks. To resolve this issue, current paper defines concept of symbolic Turiyam matrix by using the symbolic Turiyam set concept. In addition, the paper illustrates several examples to clarify the algebraic structure of these matrices such as addition, multiplication, and symmetry of these matrices.

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

“…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:…”

“…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].…”

“…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].…”

Invers Moore-Penrose pada Matriks Turiyam Simbolik Real

“…Pengembangan konsep dan penerapan matriks turiyam simbolik ini baru dibahas oleh beberapa peneliti, dalam ilmu matematika konsep Turiyam yang telah dibahas yaitu, terkait pengantar Turiyam simbolik grup dan substruktur AH [13], pengantar konsep matriks Turiyam simbolik [14], pengantar ruang vektor dan bilangan kompleks Turiyam simbolik [15], representasi data dimensi keempat dan analisisnya menggunakan konteks Turiyam [9], pengantar Turiyam simbolik R-modulo dan modulo bilangan bulat Turiyam simbolik [14], Turiyam simbolik ring [10], Turiyam simbolik grup [13], representasi data dimensi keempat himpunan Turiyam [6], dan data dengan himpunan Turiyam untuk pengolahan informasi kuantum dimensi keempat [16]. Begitu juga penelitian mengenai invers Moore-Penrose telah dilakukan oleh beberapa peneliti yaitu, invers Moore-Penrose pada free matrix [4], invers Moore-Penrose sebagai invers matriks [17], invers Moore-Penrose pada matriks kompleks, invers Moore-Penrose pada matriks atas aljabar Max-Plus tersimetri [12], dan perhitungan cepat matriks invers Moore-Penrose [18].…”

“…Dalam matriks Turiyam simbolik terdapat operasi penjumlahan dan perkalian yang eksistensinya penting dalam artikel ini, namun sebelumnya telah didefinisikan dalam [4,14] bentuk umum dari matriks Turiyam adalah sebagai berikut: Definisi 1. Didefinisikan Turiyam simbolik dengan :…”