Ahmed Shletiet - Profile on Academia.edu (original) (raw)

Papers by Ahmed Shletiet

Research paper thumbnail of Approximation Of Continuous Set Valued Mapping And Membership Function Rough Topology

Journal of Pure & Applied Sciences

In this paper, we introduce the new definition of rough membership function using continues func... more In this paper, we introduce the new definition of rough membership function using continues function and we discuss several concepts and properties of rough continuous set value functions as new results on rough the continues function and membership continues function . Moreover, we extend the definition of rough membership function to topology spaces by substituted an equivalence class by continuous functions and prove some theorems on certain types of set value functions and some more general and fundamental properties of the generalized rough sets. Our result generalized the concept of the set valued function by using rough set theory.

Research paper thumbnail of Roughness in Anti Semigroup

Journal of Pure & Applied Sciences

In this paper, we present the concepts of the upper and lower approximations of Anti-rough subgro... more In this paper, we present the concepts of the upper and lower approximations of Anti-rough subgroups, Anti-rough subsemigroups, and homeomorphisms of Anti-Rough anti-semigroups in approximation spaces. Specify the concepts of rough in Finite anti-groups of types (4) are studies. Moreover, some properties of approximations and these algebraic structures are introduced. In addition, we give the definition of homomorphism anti-group.

Research paper thumbnail of Roughness in BO/BH/Z-ALGEBRA

arXiv (Cornell University), Jan 21, 2023

The main goal of this paper, present the concepts of rough BO/BH/Z-Algebra as extended of the con... more The main goal of this paper, present the concepts of rough BO/BH/Z-Algebra as extended of the concept of BO/BH/Z-algebra respectively. The other goal is to consider the (strong) set-valued mapping in these algebraic structures. The concept of a (strong) set-valued BO/BH/Z-morphism in BO/BH/Z algebras is investigated with several properties. Using the concept of generalized approximation space and ideal of BO/BH/Z-algebra, we consider another type of generalized lower and upper approximations based on the ideal. In addition, some properties are studied.

Research paper thumbnail of New result in NG-Groups

arXiv (Cornell University), Dec 8, 2021

We investigate and present a new result in NG groups that consisting of consisting of non-bijecti... more We investigate and present a new result in NG groups that consisting of consisting of non-bijective transformations cannot be subset of symmetric groups. In this paper, we revive the concepts of NG groups. Moreover, we introduce the definition of regular NG and inverse NG the new concept as new results in these groups. Hover, some properties are studied.

Research paper thumbnail of Roughness in Membership Continuous Function

Roughness in Membership Continuous Function

تقدم الورقة تعريفا جديدا لدالة العضوية التقريبية باستخدام الدالة المستمرة، وتناقش العديد من المفا... more تقدم الورقة تعريفا جديدا لدالة العضوية التقريبية باستخدام الدالة المستمرة، وتناقش العديد من المفاهيم، والخصائص لدوال القيم المستمرة التقريبية كنتائج جديدة على الدالة التقريبية، والدوال العضوية المستمرة. علاوة على ذلك، تقدم الورقة توسعا لتعريف دالة العضوية التقريبية إلى فضاءات الطوبولوجيا عن طريق استبدال فئة التكافؤ بدوال مستمرة، وتثبت بعض النظريات حول أنواع معينة من الدوال القيمة المحددة، وبعض الخصائص الأساسية، والعمومية للمجموعات الخشنة المعممة. النتائج المتحصل عليها عممت مفهوم دالة المجموعة القيمية باستخدام نظرية المجموعات الخشنة. تعتبر تعميم الدالة العضوية التقريبية باستخدام دوال المتصلة.

Research paper thumbnail of Heat Transfer Analyses for Falkner-Skan Boundary Layer Flow (BLF) past a Static Wedge with respect to Velocity Slip Condition and Temperature-Dependent Thermal Conductivity

This article is mainly studying the heat transfer for Falkner-Skan BLF passing a wedge, by consid... more This article is mainly studying the heat transfer for Falkner-Skan BLF passing a wedge, by considering N and A, they are: slip condition and variable thermal conductivity respectively. So, by using scaling group of transformation technique, the BLEs that are governing the problem has been transformed to a set of ODEs. Then, by using Runge–Kutta–Fehlberg method, the system is solved numerically to obtain that the heat transfer rate and the fluid temperature are decreasing whenever the A increase. Also, there is an increase of the N to increase the rate of the heat transfer and velocity as well. N is also decreasing both of the shear stress coefficient and temperature. Nevertheless, the shear stress coefficient and the velocity rate of the heat transfer respectively are increasing with m while the fluid temperature decreases with m, such that, m is the Falkner-Skan power law parameter. A compression is done between the results obtained at the end of this paper with previous published ...

Research paper thumbnail of Asymptotics approximations and expansions of Integrals with a matrix argument

Asymptotic approximations are derived for integrals that depends on a Matrix. A matrix version an... more Asymptotic approximations are derived for integrals that depends on a Matrix. A matrix version analogous to Watson's lemma for scalar functions are obtained. Key Word: Special functions; Asymptotics; Asymptotic Approximations; Asymptotic Expansions; Matrix; Gamma function of Matrices; Jordan Canonical For Watson’s lemma. AMS Subject Classification: 33C05 , 33C15, 34A05, 15A60, 41A30,41A60. -------------------------------------------------------------------------------------------------------------------------------------Date of Submission: 07-10-2020 Date of Acceptance: 22-10-2020 -------------------------------------------------------------------------------------------------------------------------------------

Research paper thumbnail of A Fundamental Theorem of Powerful Set-Valued for F-Rough Ring

SSRN Electronic Journal, 2020

In this paper, we introduce the upper and lower approximations on the invers set-valued mapping a... more In this paper, we introduce the upper and lower approximations on the invers set-valued mapping and the approximations an established on a powerful set valued homomorphism from a ring R1 to power sets of a ring R2. Moreover, the properties of lower and upper approximations of a powerful set valued are studies. In addition, we will give a proof of the theorem of isomorphism over approximations F-rough ring as new result. However, we will prove the kernel of the powerful set-valued homomorphism is a subring of R1. Our result is introduce the first isomorphism theorem of ring as generalized the concept of the set valued mappings.

Research paper thumbnail of On A Matrix Hypergeometric Differential Equation

Journal of Pure & Applied Sciences, 2021

In this paper we consider a matrix Hypergeometric differential equation, which are special matrix... more In this paper we consider a matrix Hypergeometric differential equation, which are special matrix functions and solution of a specific second order linear differential equation. The aim of this work is to extend a well known theorem on Hypergeometric function in the complex plane to a matrix version, and we show that the asymptotic expansions of Hypergeometric function in the complex plane ” that are given in the literature are special members of our main result. Background and motivation are discussed.

Research paper thumbnail of New Classification of NG-Groups

SSRN Electronic Journal, 2021

We investigate and present a NG groups that consisting of consisting of non-bijective transformat... more We investigate and present a NG groups that consisting of consisting of non-bijective transformations cannot be subset of symmetric groups by using the notion of AntiGroups. In addition, we study some several examples and basic propertie of these groups. However, in particularly, we find all NG-groups that not subsets of S3 are AntiGroups of types [4]

Research paper thumbnail of Approximation Of Continuous Set Valued Mapping And Membership Function Rough Topology

Journal of Pure & Applied Sciences

In this paper, we introduce the new definition of rough membership function using continues func... more In this paper, we introduce the new definition of rough membership function using continues function and we discuss several concepts and properties of rough continuous set value functions as new results on rough the continues function and membership continues function . Moreover, we extend the definition of rough membership function to topology spaces by substituted an equivalence class by continuous functions and prove some theorems on certain types of set value functions and some more general and fundamental properties of the generalized rough sets. Our result generalized the concept of the set valued function by using rough set theory.

Research paper thumbnail of Roughness in Anti Semigroup

Journal of Pure & Applied Sciences

In this paper, we present the concepts of the upper and lower approximations of Anti-rough subgro... more In this paper, we present the concepts of the upper and lower approximations of Anti-rough subgroups, Anti-rough subsemigroups, and homeomorphisms of Anti-Rough anti-semigroups in approximation spaces. Specify the concepts of rough in Finite anti-groups of types (4) are studies. Moreover, some properties of approximations and these algebraic structures are introduced. In addition, we give the definition of homomorphism anti-group.

Research paper thumbnail of Roughness in BO/BH/Z-ALGEBRA

arXiv (Cornell University), Jan 21, 2023

The main goal of this paper, present the concepts of rough BO/BH/Z-Algebra as extended of the con... more The main goal of this paper, present the concepts of rough BO/BH/Z-Algebra as extended of the concept of BO/BH/Z-algebra respectively. The other goal is to consider the (strong) set-valued mapping in these algebraic structures. The concept of a (strong) set-valued BO/BH/Z-morphism in BO/BH/Z algebras is investigated with several properties. Using the concept of generalized approximation space and ideal of BO/BH/Z-algebra, we consider another type of generalized lower and upper approximations based on the ideal. In addition, some properties are studied.

Research paper thumbnail of New result in NG-Groups

arXiv (Cornell University), Dec 8, 2021

We investigate and present a new result in NG groups that consisting of consisting of non-bijecti... more We investigate and present a new result in NG groups that consisting of consisting of non-bijective transformations cannot be subset of symmetric groups. In this paper, we revive the concepts of NG groups. Moreover, we introduce the definition of regular NG and inverse NG the new concept as new results in these groups. Hover, some properties are studied.

Research paper thumbnail of Roughness in Membership Continuous Function

Roughness in Membership Continuous Function

تقدم الورقة تعريفا جديدا لدالة العضوية التقريبية باستخدام الدالة المستمرة، وتناقش العديد من المفا... more تقدم الورقة تعريفا جديدا لدالة العضوية التقريبية باستخدام الدالة المستمرة، وتناقش العديد من المفاهيم، والخصائص لدوال القيم المستمرة التقريبية كنتائج جديدة على الدالة التقريبية، والدوال العضوية المستمرة. علاوة على ذلك، تقدم الورقة توسعا لتعريف دالة العضوية التقريبية إلى فضاءات الطوبولوجيا عن طريق استبدال فئة التكافؤ بدوال مستمرة، وتثبت بعض النظريات حول أنواع معينة من الدوال القيمة المحددة، وبعض الخصائص الأساسية، والعمومية للمجموعات الخشنة المعممة. النتائج المتحصل عليها عممت مفهوم دالة المجموعة القيمية باستخدام نظرية المجموعات الخشنة. تعتبر تعميم الدالة العضوية التقريبية باستخدام دوال المتصلة.

Research paper thumbnail of Heat Transfer Analyses for Falkner-Skan Boundary Layer Flow (BLF) past a Static Wedge with respect to Velocity Slip Condition and Temperature-Dependent Thermal Conductivity

This article is mainly studying the heat transfer for Falkner-Skan BLF passing a wedge, by consid... more This article is mainly studying the heat transfer for Falkner-Skan BLF passing a wedge, by considering N and A, they are: slip condition and variable thermal conductivity respectively. So, by using scaling group of transformation technique, the BLEs that are governing the problem has been transformed to a set of ODEs. Then, by using Runge–Kutta–Fehlberg method, the system is solved numerically to obtain that the heat transfer rate and the fluid temperature are decreasing whenever the A increase. Also, there is an increase of the N to increase the rate of the heat transfer and velocity as well. N is also decreasing both of the shear stress coefficient and temperature. Nevertheless, the shear stress coefficient and the velocity rate of the heat transfer respectively are increasing with m while the fluid temperature decreases with m, such that, m is the Falkner-Skan power law parameter. A compression is done between the results obtained at the end of this paper with previous published ...

Research paper thumbnail of Asymptotics approximations and expansions of Integrals with a matrix argument

Asymptotic approximations are derived for integrals that depends on a Matrix. A matrix version an... more Asymptotic approximations are derived for integrals that depends on a Matrix. A matrix version analogous to Watson's lemma for scalar functions are obtained. Key Word: Special functions; Asymptotics; Asymptotic Approximations; Asymptotic Expansions; Matrix; Gamma function of Matrices; Jordan Canonical For Watson’s lemma. AMS Subject Classification: 33C05 , 33C15, 34A05, 15A60, 41A30,41A60. -------------------------------------------------------------------------------------------------------------------------------------Date of Submission: 07-10-2020 Date of Acceptance: 22-10-2020 -------------------------------------------------------------------------------------------------------------------------------------

Research paper thumbnail of A Fundamental Theorem of Powerful Set-Valued for F-Rough Ring

SSRN Electronic Journal, 2020

In this paper, we introduce the upper and lower approximations on the invers set-valued mapping a... more In this paper, we introduce the upper and lower approximations on the invers set-valued mapping and the approximations an established on a powerful set valued homomorphism from a ring R1 to power sets of a ring R2. Moreover, the properties of lower and upper approximations of a powerful set valued are studies. In addition, we will give a proof of the theorem of isomorphism over approximations F-rough ring as new result. However, we will prove the kernel of the powerful set-valued homomorphism is a subring of R1. Our result is introduce the first isomorphism theorem of ring as generalized the concept of the set valued mappings.

Research paper thumbnail of On A Matrix Hypergeometric Differential Equation

Journal of Pure & Applied Sciences, 2021

In this paper we consider a matrix Hypergeometric differential equation, which are special matrix... more In this paper we consider a matrix Hypergeometric differential equation, which are special matrix functions and solution of a specific second order linear differential equation. The aim of this work is to extend a well known theorem on Hypergeometric function in the complex plane to a matrix version, and we show that the asymptotic expansions of Hypergeometric function in the complex plane ” that are given in the literature are special members of our main result. Background and motivation are discussed.

Research paper thumbnail of New Classification of NG-Groups

SSRN Electronic Journal, 2021

We investigate and present a NG groups that consisting of consisting of non-bijective transformat... more We investigate and present a NG groups that consisting of consisting of non-bijective transformations cannot be subset of symmetric groups by using the notion of AntiGroups. In addition, we study some several examples and basic propertie of these groups. However, in particularly, we find all NG-groups that not subsets of S3 are AntiGroups of types [4]