http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
Maximal strong product and balanced fuzzy graphs
Talal Al-Hawary 한국전산응용수학회 2023 Journal of applied mathematics & informatics Vol.41 No.5
The notion of maximal product of two fuzzy graphs was introduced by Radha and Arumugam in 2015 and the notion of balanced fuzzy graph was introduced by Al-Hawary in 2011. In this paper, we give a modification of the maximal product definition, which we call maximal strong product. We also introduce the relatively new notion of maximal-balanced fuzzy graphs. We give necessary and sufficient conditions for the maximal strong product of two balanced (resp., maximal-balanced) fuzzy graphs to be balanced (resp., maximal-balanced) and we prove that these two independent notions are preserved under isomorphism.
Al-Hawary, Talal Korean Mathematical Society 2008 대한수학회보 Vol.45 No.4
In this paper, we introduce the relatively new notion of fuzzy ${\omega}^O$-open set. We prove that the collection of all fuzzy ${\omega}^O$-open subsets of a fuzzy topological space forms a fuzzy topology that is finer than the original one. Several characterizations and properties of this class are also given as well as connections to other well-known "fuzzy generalized open" subsets.
COMPLETE HAMACHER FUZZY GRAPHS
AL-HAWARY, TALAL ALI The Korean Society for Computational and Applied M 2022 Journal of applied mathematics & informatics Vol.40 No.5-6
Our goal in this paper is to propose the advancement proposed by Alsina, Klement and other researchers in the area of fuzzy logic applied to the area of fuzzy graph theory. We introduce the notion of complete Hamacher fuzzy graphs and the notion of balanced Hamacher fuzzy graphs and discuss their properties. Moreover, several operations on these fuzzy graphs are explored via the complete notion.
SOME PROPERTIES FOR COMPREHENSIVE SUBCLASS OF BI-UNIVALENT FUNCTIONS
AL-HAWARY, TARIQ The Korean Society for Computational and Applied M 2022 Journal of applied mathematics & informatics Vol.40 No.5-6
Herein, we construct a qualitative subclass B<sup>γ</sup>(κ, µ, σ) of the class of analytic bi-univalent functions. Next, we explore estimates of the coefficients |a<sub>j</sub>| (j = 1, 2) and the Fekete-Szegö functional |a<sub>3</sub> - ςa<sup>2</sup><sub>2</sub>| for functions in this subclass.
NEW INEQUALITIES CONNECTED WITH TRACES OF MATRICES
AL-HAWARI, MOHAMMAD,NASSER, AZHAR BANI,HATAMLEH, RAED The Korean Society for Computational and Applied M 2022 Journal of applied mathematics & informatics Vol.40 No.5-6
This paper covers some important operator inequalities connected with traces of matrices, from the classical inequalities we obtained new inequalities connected with traces of matrices which are better than the others.
Study of young inequalities for matrices
Mohammad Al-Hawari,Wafaa Gharaibeh 한국전산응용수학회 2023 Journal of applied mathematics & informatics Vol.41 No.6
This paper investigates Young inequalities for matrices, a problem closely linked to operator theory, mathematical physics, and the arithmetic-geometric mean inequality. By obtaining new inequalities for unitarily invariant norms, we aim to derive a fresh Young inequality specifically designed for matrices.To lay the foundation for our study, we provide an overview of basic notation related to matrices. Additionally, we review previous advancements made by researchers in the field, focusing on Young improvements.Building upon this existing knowledge, we present several new enhancements of the classical Young inequality for nonnegative real numbers. Furthermore, we establish a matrix version of these improvements, tailored to the specific characteristics of matrices. Through our research, we contribute to a deeper understanding of Young inequalities in the context of matrices.
Talal Al-Hawary 대한수학회 2008 대한수학회보 Vol.45 No.4
In this paper, we introduce the relatively new notion of fuzzy ωO-open set. We prove that the collection of all fuzzy ωO-open subsets of a fuzzy topological space forms a fuzzy topology that is finer than the original one. Several characterizations and properties of this class are also given as well as connections to other well-known “fuzzy generalized open” subsets. In this paper, we introduce the relatively new notion of fuzzy ωO-open set. We prove that the collection of all fuzzy ωO-open subsets of a fuzzy topological space forms a fuzzy topology that is finer than the original one. Several characterizations and properties of this class are also given as well as connections to other well-known “fuzzy generalized open” subsets.
beta-product of product fuzzy graphs
Talal Ali Al-Hawary,Maref Y.M. Alzoubi 한국전산응용수학회 2024 Journal of applied mathematics & informatics Vol.42 No.2
In this article, a new operation on product fuzzy graphs (PFGs) is provide; namely $\beta-$product. We give sufficient conditions for the $\beta-$ product of two PFGs to be strong and we prove if the $\beta-$product of two PFGs is complete, then one of them is strong. We also study the unbiased notion of the class of PFGs and necessary and sufficient conditions for the $\beta-$product to be unbiased are given.
Majeda Khraisheh,김종규,Luiza Campos,Ala’a H. Al-Muhtaseb,Alaa Al-Hawari,Mohammad Al Ghouti,Gavin M. Walker 한국공업화학회 2014 Journal of Industrial and Engineering Chemistry Vol.20 No.3
Photocatlytic removal of three pharmaceutical and personal care products pollutants using novel TiO2–Coconut Shell Powder (TCNSP) composite was investigated. The photocatalytic degradation rate of PPCPsgenerally increased with increasing light intensity and dissolved oxygen concentration. The degradationrate decreased with increasing initial concentration of PPCPs. The PPCPs concentration decreasedsubstantially under irradiation of UVC when used in conjunction with the TCNSP composite. A number ofcomposite/radiation types and intensities were tested. The concentration rate decrease trend was as:UVC/TCNSP > UVA/TCNSP > UVC > UVA. Under the UVC/TCNP combination, 99% removal was achievedcompared to 30% for TiO2.
Basem Aref Frasin,Ala Amourah,Tariq Al-Hawary 경북대학교 자연과학대학 수학과 2022 Kyungpook mathematical journal Vol.62 No.2
In the present paper, a subclass of analytic and bi-univalent functions is defined using a symmetric q−derivative operator by means of Gegenbauer polynomials. Coefficients bounds for functions belonging to this subclass are obtained. Furthermore, the Fekete-Szego problem for this subclass is solved. A number of known or new results are shown to follow upon specializing the parameters involved in our main results.