Galoitica: Journal of Mathematical Structures and Applications
Journal DOI
2834-5568ISSN (Online)
In this paper, we propose a novel generalization for one parameter inverse Lindley distribution to fitting monotonically descending data named the T-ILD{Y} distribution class , T is one parameter inverse exponential distribution , R has an one parameter inverse Lindley distribution , and the variable Y is one parameter exponential distribution, the resulting distribution is inverse exponential- inverse Lindley- exponential (IEILDE). The theory of fuzzy sets are used by converting the distribution to fuzzy by using a fuzzy triangular distribution based on the quantile function (FIEILE), the maximum likelihood , and the maximum likelihood, and the maximum product spacing method were used estimate the parameters of the distribution. We conclude that at cutoff α=0.1, ML is better than the MPS, and at cutoff coefficients α=0.3, 0.5, 0.7, MPS was better than the ML, The higher the cutoff, the better the maximum likelihood method.
Read MoreDoi: https://doi.org/10.54216/GJMSA.0110201
Vol. 11 Issue. 2 PP. 01-14, (2024)
In this paper, we find the Wiener polynomial of multi-circles of Paraffin structural. We prove that this obtained formula is better than the formulas, which are previously presented. Also, we evaluate the coefficients for any limited power of without depending on the number of circles, and we find the Wiener index and average distance for this structural. On the other hand, we build a MATLAB program to evaluate the Wiener polynomial coefficient, Wiener index, and average distance.
Read MoreDoi: https://doi.org/10.54216/GJMSA.0110202
Vol. 11 Issue. 2 PP. 15-21, (2024)
In this paper, we study the diagonalization problem of weak fuzzy complex matrices. To solve this problem we build a special algebraic isomorphism between the ring of weak fuzzy complex matrices and the direct product of the classical ring of real-entries matrices with itself, then we use it to solve the diagonalization problem by using the classical diagonalization problem for real matrices with the inverse isomorphism formula. Also, we illustrate many examples to explain the validity of our method.
Read MoreDoi: https://doi.org/10.54216/GJMSA.0110203
Vol. 11 Issue. 2 PP. 22-27, (2024)
This paper is dedicated to finding all 4-cyclic refined neutrosophic real solutions of the equation ππ=1 which are called 4-cyclic refined real roots of unity. Also, we classify the algebraic group of these solutions as a direct product of some familiar finite cyclic groups. On the other hand, we illustrate many examples to clarify the validity of our work.
Read MoreDoi: https://doi.org/10.54216/GJMSA.0110204
Vol. 11 Issue. 2 PP. 28-36, ()
This paper is dedicated to studying the group of units problem of the non-commutative logical extension of two different rings ππ and π2π, where we classify the group of units of these rings as semi-direct products of well-known abelian groups as follows: π(ππΆπ )ππ≅ππ−1∝(ππ∝ππ−1) π(ππΆπ )2π≅(π2×π2π−2)β(π2πβ(π2×π2π−2)).
Read MoreDoi: https://doi.org/10.54216/GJMSA.0110205
Vol. 11 Issue. 2 PP. 37-43, (2024)