International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org

Topology & Geometry and Applications
1
FRI: 29-12-2017 Hall Sec Poster (02) ( 1 )
 01:15 : 02:45

TGA - 3 EG Mr. Abdelmohaymen Mohammed Abdulaziz Fawaz Mr.abdelmohymen_fawaz@yahoo.com

11
A research on the fifth case of the triangulation cases
Abdelmohaymen Mohammed Abdulaziz Fawaz

 Mathematics teacher at Al-Azhar Al-Sharif

ABSTRACT
This research aims to conclude a fifth case of the cases of congruent triangles, the case of the equal triangles in the area. As we know, if the triangles are identical, then they are equal in space and vice versa is not always true. So this research is focused on the situation in which the equal triangles in the area are to be congruent and the required conditions, for them, to get matched. After the study mentioned in the research, and with the availability of some elements, I was able to get to the text of the fifth case of the cases of congruent triangles which states: “The two equal triangles correspond to the area if a rib and an angle match in one of the triangles with their counterparts in the other triangle”
 Code MPH STA NAM DSA CSC ALG TGA FUA DEA page 01 25 43 55 61 67 79 90 102

International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org

Topology & Geometry and Applications
2
SAT: 30-12-2017 Hall[A] Oral - Sec12 ( 1 )
 08:45 : 09:00

TGA - 1 EG Dr. M Elsafty elsafty010@yahoo.co.uk

11
Attributes priority arrangement of cancellations in the life insurance using rough set
M. A. Elsafty , H. M. Elkhawaga , A.M.Kozae

 Department of Mathematics and Statistics, Faculty of Science, Taif University Department of Statistics and Mathematics and Insurance, Tanta University, Egypt Department of Mathematics, Faculty of Science, Tanta University, Egypt

ABSTRACT
In this paper, we present a new method to rough set attributes priority arrangement of cancellations in the life insurance, the number of canceled documents on the rise plus they oscillatory also in rates of cancellations in constant fluctuation which requires searching in the problem of cancellations of these documents where, these cancellations affect negatively the results of the Egyptian life insurance operations of insurance companies. This paper also aims to identify the most important variables that affect the rates of cancellations and so as to reach solutions that lead to reducing the number of canceled documents by using the Rough Model. The research also aims to use the Rough model to identify the determinants of cancellations in the life insurance of the Egyptian insurance market, so as to reach solutions that lead to reducing the number of canceled policies and find solutions to them. Our findings proved that the most important factors that affect the document cancellation in the Egyptian life insurance policies are; policy premiums, insurance period and age of policyholders respectively.
 Code MPH STA NAM DSA CSC ALG TGA FUA DEA page 01 25 43 55 61 67 79 90 102

International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org

Topology & Geometry and Applications
3
SAT: 30-12-2017 Hall[A] Oral - Sec12 ( 2 )
 09:00 : 09:15

TGA - 2 EG Prof. Fathi Khedr khedrfathi@gmail.com

11
Results on generalized fuzzy soft topological spaces
F.H. Khedr , S.A. Abd El-Baki , M.S. Malfi

 Assiut University Assiut University Assiut University

ABSTRACT
In this manuscript, the concept of a generalized fuzzy soft point is introduced and some of its basic properties are studied. Also, the concepts of a generalized fuzzy soft base (subbase) and a generalized fuzzy soft subspace are introduced and some important theorems are established. Finally, we study the relationship between fuzzy soft set, intuitionistic fuzzy soft set, generalized fuzzy soft set and generalized intuitionistic fuzzy soft set are investigated.
 Code MPH STA NAM DSA CSC ALG TGA FUA DEA page 01 25 43 55 61 67 79 90 102

International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org

Topology & Geometry and Applications
4
SAT: 30-12-2017 Hall[A] Oral - Sec12 ( 3 )
 09:15 : 09:30

TGA - 4 EG Assoc.Prof. Heba Mustafa dr_heba_ibrahim@yahoo.com

11
Soft rough approximation operators via ideal with application in decision making
Heba Ibrahim Mustafa

 Faculity of science Zagazig University

ABSTRACT
Theories of soft sets and rough sets are two different approaches to vagueness. They can be combined to form a powerful mathematical tool for dealing uncertain problems. Soft rough set introduced by Feng[7] is the connection between these approaches and it is the generalization of rough set with respect to the soft approximation space. This paper extend soft rough approximation model by defining new soft rough approximation operators via ideal. When the ideal is the least ideal of $\wp(U)$, these two approximations coincide. We present the essential properties of new opertors via ideal and supported by illustrative examples. The notion of soft rough equal relations via ideal is proposed and related examples are examined. We also show that rough set via ideal [26] can be viewed as a special case of soft rough set via ideal, and these two notions will coincide provided that the underlaying soft set is a partition soft set. We obtain the structure of soft rough set via ideal, gives the structure of topologies induced by soft set and an ideal. Moreover, an example containing a comparative analysis between rough sets via ideal and soft rough sets via ideal is given. We show that soft rough approximation via ideal could provide a better approximation than rough set via ideal. Finally application of data reduction are done and an algorithm of multi-attribute decision making based on soft rough sets via ideal is given.
 Code MPH STA NAM DSA CSC ALG TGA FUA DEA page 01 25 43 55 61 67 79 90 102

International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org

Topology & Geometry and Applications
5
SAT: 30-12-2017 Hall[A] Oral - Sec12 ( 4 )
 09:30 : 09:45

TGA - 5 EG Assoc.Prof. Fawsia Sleim fsleim@yahoo.com

11
A multi-set function
Fawsia Sleim

 Faculity of science Zagazig university

ABSTRACT
In this paper, we study the cartesian product of two multi-sets and some of its properties . Also we study the multi-set function and some of its properties and define the image and the inverse image of multi- sets and study of some properties .We study the multi-order relation ,multi-increasing ( decreasing ) function ,and the multi-topological ordered spaces and some of m - separation axioms of multi-topological spaces
 Code MPH STA NAM DSA CSC ALG TGA FUA DEA page 01 25 43 55 61 67 79 90 102

International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org

Topology & Geometry and Applications
6
SAT: 30-12-2017 Hall[A] Oral - Sec12 ( 5 )
 09:45 : 10:00

TGA - 6 EG Assoc.Prof. Heba Mustafa dr_heba_ibrahim@yahoo.com

11
On modified Soft rough sets on a complete atomic Boolean lattice
Heba

 Zagazig University

ABSTRACT
Soft set theory and rough set theory are treated as mathematical approaches to deal with uncertainty. They are combined together by F.Feng et al. In[ ], we introduce the notion of soft rough sets on a complete atomic Boolean lattice as a generalization of soft rough sets. In this paper, we strengthen the concept of soft rough on a complete atomic Boolean lattice by defining the concept of MSR sets on a complete atomic Boolean lattice. In this model, some properties which were not satisfied in soft rough sets on a complete atomic Boolean lattice can be proved. Finally, the notion of lower and upper MSR-approximations of soft sets on a complete atomic Boolean lattice is studied.
 Code MPH STA NAM DSA CSC ALG TGA FUA DEA page 01 25 43 55 61 67 79 90 102

International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org

Topology & Geometry and Applications
7
SAT: 30-12-2017 Hall[A] Oral - Sec15 ( 1 )
 04:00 : 04:15

TGA - 7 EG Assoc.Prof. Fawsia Sleim fsleim@yahoo.com

11
SMOOTH HESITANT FUZZY TOPOLOGICAL SPACES
Fawsia

 Zagazig university

ABSTRACT
In this paper, we define the basic concepts of hesitant fuzzy sets and smooth hesitant fuzzy topologies in $\hat{S}$ostak sense. We study and investigate some properties of smooth hesitant fuzzy topological spaces. Moreover, we introduce the concepts of smooth hesitant closure and smooth hesitant interior of a fuzzy hesitant set and obtain some of their structural properties.
 Code MPH STA NAM DSA CSC ALG TGA FUA DEA page 01 25 43 55 61 67 79 90 102

International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org

Topology & Geometry and Applications
8
SAT: 30-12-2017 Hall[A] Oral - Sec15 ( 2 )
 04:15 : 04:30

TGA - 8 EG Dr. Abd El Fattah El Atik aelatik55@yahoo.com

11
On nano pre-I-open sets and a decomposition of nano I-continuity
Abd El Fattah A. El Atik , Arafa A. Nasef

 Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt Department of Physics and Engineering Mathematics, Faculty of Engineering Kafrelsheikh University, Egypt.

ABSTRACT
In this paper, we introduce and study the notion of nano pre-I-open sets which is properly placed between nano openness and nano preopenness regardless the nano topological ideal. Also, we show that the class of near pre-I-open sets is properly places between the classes of nano I –open and nano preopen sets. We give a decomposition of nano I-continuity by proving that a function f(X,τ,I)→(Y,σ) is nano I-continuous if and only if it is nano I-continuous and nano *-I-continuous .
 Code MPH STA NAM DSA CSC ALG TGA FUA DEA page 01 25 43 55 61 67 79 90 102

International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org

Topology & Geometry and Applications
9
SAT: 30-12-2017 Hall[A] Oral - Sec15 ( 3 )
 04:30 : 04:45

TGA - 9 EG Mr. mohammed atef matef1993@yahoo.com

11
New Types of separation axioms on Graphs
Abd El Fattah A. El Atik , Mohammed atef

 Department of mathematics, Faculty of Science, Tanta University. Department of mathematics, Faculty of Science, Menoufia University.

ABSTRACT
The focus of this article is to define a new definition of the neighborhood which is built on the choice of the distance between two vertices. A comparison between these types of results from a new formed topologies and neighborhoods is discussed. Through the edges between vertices in any graph, we introduce a new class of separation axioms called graph separation axioms. Also, we study the connections between these graph separation axioms.
 Code MPH STA NAM DSA CSC ALG TGA FUA DEA page 01 25 43 55 61 67 79 90 102

International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org

Topology & Geometry and Applications
10
SAT: 30-12-2017 Hall[A] Oral - Sec15 ( 4 )
 04:45 : 05:00

TGA - 10 EG Mr. haytham ashraf haytham.ali88@yahoo.com

11
Magnetic curves of spherical images in Euclidean space
H. S. Abdel-Aziz , M. Khalifa Saad , Haytham. A. Ali

 Mathematics Department, Faculty of Science, Sohag University, 82524, Egypt. Mathematics Department, Faculty of Science, Sohag University, 82524, Egypt. Mathematics Department, Faculty of Science, Sohag University, 82524, Egypt.

ABSTRACT
In the theory of curves, a magnetic field generates a magnetic flow whose trajectories are curves, called magnetic curves. In the present paper, magnetic curves which corresponding to killing magnetic fields of spherical indicatrices for a regular curve in Euclidean 3-space are obtained. These curves are magnetic curves of the tangent, principal normal and binormal spherical indicatrices. Especially, for the tangent indicatrix of a regular curve, TT , NT and BT -magnetic curves are characterized. Furtheremore, some theorems and important results are given. Finally, we introduce an example to illustrate our main results with figures.
 Code MPH STA NAM DSA CSC ALG TGA FUA DEA page 01 25 43 55 61 67 79 90 102

International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org

Topology & Geometry and Applications
11
SAT: 30-12-2017 Hall[A] Oral - Sec15 ( 5 )
 05:00 : 05:15

TGA - 11 EG Dr. Salah Ali salahelgendi@yahoo.com

11
Linear one form deformation of sprays
Salah Gomma Ahmed Ali Elgendi

 Faculty of Science - Benha University

ABSTRACT
In this paper, the linear one form deformation of a flat spray is investigated. The metrizability of the deformation spray is characterized. New projectively flat Reimannain metrics are obtained. These new metrics are not, generally, isometric to the Klein metric via affine transformations. New Finsler solutions for Hilbert's fourth problem are constructed. Various examples are studied.
 Code MPH STA NAM DSA CSC ALG TGA FUA DEA page 01 25 43 55 61 67 79 90 102

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