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Editors-in-Chief:
Prof. Emeritus Florentin Smarandache,
PhD, Postdoc,
Mathematics, Physical and Natural Sciences Division, University of New Mexico, Gallup Campus, NM 87301, USA,
Email:
smarand@unm.edu.
Dr. Mohamed Abdel-Baset,
Head of Department of Computer Science, Faculty of Computers and Informatics, Zagazig University, Egypt, Email:
mohamedbasset@ieee.org.
Dr. Said Broumi, Laboratory of Information
Processing, Faculty of Science Ben M’Sik, University of Hassan II, Casablanca, Morocco, Email:
s.broumi@flbenmsik.ma.
Associate Editors:
Ishaani Priyadarshinie, UC Berkeley: University of California
Berkeley, USA, Email:
Ishaani@berkeley.edu.
Assoc. Prof. Alok Dhital, Mathematics, Physical and Natural Sciences Division,
University of New Mexico, Gallup Campus, NM 87301, USA, Email:
adhital@unm.edu.
Dr. S. A. Edalatpanah, Department of Applied Mathematics, Ayandegan Institute
of Higher Education, Tonekabon, Iran, Email:
saedalatpanah@gmail.com.
Charles Ashbacker, Charles Ashbacher Technologies,
Box 294, 118 Chaffee Drive, Hiawatha, IA 52233, United
States, Email:
cashbacher@prodigy.net.
Prof.
Dr. Xiaohong Zhang,
Department of Mathematics, Shaanxi University of Science
&Technology, Xian 710021, China, Email:
zhangxh@shmtu.edu.cn.
Prof. Dr. W. B. Vasantha Kandasamy,
School of
Computer Science and Engineering, VIT, Vellore 632014, India, Email: vasantha.wb@vit.ac.in.
Editors:
Yanhui Guo,
University of
Illinois at Springfield, One University Plaza, Springfield, IL
62703, United States, Email:
yguo56@uis.edu.
Giorgio Nordo, MIFT - Department of Mathematical and Computer
Science, Physical Sciences and Earth Sciences, Messina University,
Italy, Email:
giorgio.nordo@unime.it.
Mohamed Elhoseny, American University in
the Emirates, Dubai, UAE, Email:
mohamed.elhoseny@aue.ae.
Le Hoang Son, VNU Univ. of Science, Vietnam National Univ. Hanoi, Vietnam, Email:
sonlh@vnu.edu.vn.
Huda E. Khalid, Head of Scientific Affairs and
Cultural Relations Department, Nineveh Province, Telafer University,
Iraq,
Email:
dr.huda-ismael@uotelafer.edu.iq.
A. A. Salama, Dean of the Higher Institute of Business and Computer Sciences,
Arish, Egypt, Email:
ahmed_salama_2000@sci.psu.edu.eg.
Young Bae Jun, Gyeongsang National University, South Korea, Email:
skywine@gmail.com.
Yo-Ping Huang, Department of Computer Science and Information,
Engineering National Taipei University, New Taipei City, Taiwan,
Email:
yphuang@ntut.edu.tw.
Tarek Zayed, Department of Building and Real
Estate, The Hong Kong Polytechnic University, Hung Hom, 8 Kowloon,
Hong Kong, China, Email:
tarek.zayed@polyu.edu.hk.
Sovan Samanta, Dept. of Mathematics, Tamralipta Mahavidyalaya (Vidyasagar
University), India,
Email:
ssamanta@tmv.ac.in.
Vakkas Ulucay,
Kilis 7 Aralık
University, Turkey, Email:
vulucay27@gmail.com.
Peide Liu, Shandong University of Finance and Economics, China,
Email:
peide.liu@gmail.com.
Jun
Ye, Ningbo University, School of Civil and Environmental
Engineering, 818 Fenghua Road, Jiangbei District, Ningbo City,
Zhejiang Province, People's Republic of China, Email:
yejun1@nbu.edu.cn.
Memet Şahin,
Department of
Mathematics, Gaziantep University, Gaziantep 27310, Turkey,
Email:
mesahin@gantep.edu.tr.
Muhammad Aslam & Mohammed Alshumrani, King Abdulaziz Univ., Jeddah, Saudi Arabia, Emails
magmuhammad@kau.edu.sa,
maalshmrani@kau.edu.sa.
Mutaz Mohammad, Department of
Mathematics, Zayed University, Abu Dhabi 144534, United Arab
Emirates. Email:
Mutaz.Mohammad@zu.ac.ae.
Abdullahi Mohamud Sharif, Department of Computer Science, University
of Somalia, Makka Al-mukarrama Road, Mogadishu, Somalia, Email:
abdullahi.shariif@uniso.edu.so.
Katy D. Ahmad, Islamic University of Gaza, Palestine, Email:
katyon765@gmail.com.
NoohBany Muhammad, American University of Kuwait, Kuwait, Email:
noohmuhammad12@gmail.com.
Soheyb
Milles, Laboratory of Pure and Applied Mathematics, University of Msila, Algeria, Email:
soheyb.milles@univ-msila.dz.
Pattathal Vijayakumar Arun, College of Science and Technology,
Phuentsholing, Bhutan, Email:
arunpv2601@gmail.com.
Endalkachew Teshome Ayele, Department of Mathematics, Arbaminch University, Arbaminch, Ethiopia, Email:
endalkachewteshome83@yahoo.com.
A. Al-Kababji, College of
Engineering, Qatar University, Doha, Qatar, Email:
ayman.alkababji@ieee.org.
Xindong Peng, School of
Information Science and Engineering, Shaoguan University, Shaoguan
512005, China, Email:
952518336@qq.com.
Xiao-Zhi
Gao, School of Computing, University of Eastern Finland, FI-70211
Kuopio, Finland,
xiao-zhi.gao@uef.fi.
Madad Khan, Comsats
Institute of Information Technology, Abbottabad, Pakistan, Email:
madadmath@yahoo.com.
G. Srinivasa Rao, Department of Statistics, The University of Dodoma,
Dodoma, PO. Box: 259, Tanzania, Email:
gaddesrao@gmail.com.
Ibrahim El-henawy, Faculty of Computers and Informatics, Zagazig University, Egypt, Email:
henawy2000@yahoo.com.
Muhammad
Saeed, Department of Mathematics, University of Management and
Technology, Lahore, Pakistan, Email:
muhammad.saeed@umt.edu.pk.
A. A. A. Agboola, Federal University of Agriculture, Abeokuta, Nigeria, Email:
agboolaaaa@funaab.edu.ng.
Abduallah
Gamal, Faculty of Computers and Informatics, Zagazig University,
Egypt, Email:
abduallahgamal@zu.edu.eg.
Ebenezer Bonyah, Department of
Mathematics Education, Akenten Appiah-Menka University of Skills
Training and Entrepreneurial Development, Kumasi 00233, Ghana,
Email:
ebbonya@gmail.com.
Roan Thi Ngan, Hanoi University of
Natural Resources and Environment, Hanoi, Vietnam, Email:
rtngan@hunre.edu.vn.
Sol David Lopezdomínguez Rivas, Universidad Nacional de Cuyo,
Argentina. Email:
sol.lopezdominguez@fce.uncu.edu.ar.
Maikel Yelandi Leyva Vázquez,
Universidad Regional Autónoma de los Andes (UNIANDES), Avenida Jorge
Villegas, Babahoyo, Los Ríos, Ecuador, Email:
ub.c.investigacion@uniandes.edu.ec.
Arlen Martín Rabelo, Exxis,
Avda. Aviadores del Chaco N° 1669 c/ San Martin, Edif. Aymac I, 4to.
piso, Asunción, Paraguay, Email:
arlen.martin@exxis-group.com.
Tula Carola Sanchez Garcia, Facultad de Educacion de la Universidad
Nacional Mayor de San Marcos, Lima, Peru, Email:
tula.sanchez1@unmsm.edu.pe.
Carlos Javier Lizcano Chapeta, Profesor - Investigador de pregrado y
postgrado de la Universidad de Los Andes,
Mérida 5101, Venezuela, Email:
lizcha_4@hotmail.com.
Noel Moreno Lemus, Procter & Gamble International Operations S.A.,
Panamá, Email:
nmlemus@gmail.com.
Asnioby Hernandez Lopez, Mercado Libre, Montevideo, Uruguay. Email:
asnioby.hernandez@mercadolibre.com.
Muhammad Akram, University of the Punjab, New Campus, Lahore, Pakistan, Email:
m.akram@pucit.edu.pk.
Tatiana Andrea Castillo Jaimes, Universidad de Chile, Departamento
de Industria, Doctorado en Sistemas de Ingeniería, Santiago de
Chile, Chile, Email:
tatiana.a.castillo@gmail.com.
Irfan Deli, Muallim Rifat Faculty of Education, Kilis 7 Aralik University, Turkey, Email:
irfandeli@kilis.edu.tr.
Ridvan Sahin, Department of Mathematics, Faculty of Science, Ataturk University, Erzurum 25240, Turkey, Email:
mat.ridone@gmail.com.
Ibrahim M. Hezam, Department of computer, Faculty of Education, Ibb University, Ibb City, Yemen, Email:
ibrahizam.math@gmail.com.
Moddassir khan Nayeem, Department of Industrial and Production
Engineering, American International University-Bangladesh,
Bangladesh;
nayeem@aiub.edu.
Badria Almaz Ali Yousif, Department of
Mathematics, Faculty of Science, University of Bakht Al-Ruda, Sudan.
Aiyared
Iampan, Department of Mathematics, School of Science, University of
Phayao, Phayao 56000, Thailand, Email:
aiyared.ia@up.ac.th.
Ameirys Betancourt-Vázquez, 1
Instituto Superior Politécnico de Tecnologias e Ciências (ISPTEC),
Luanda, Angola, Email:
ameirysbv@gmail.com.
H. E. Ramaroson, University of Antananarivo, Madagascar, Email:
erichansise@gmail.com.
G. Srinivasa Rao, Department of Mathematics and Statistics, The
University of Dodoma, Dodoma PO. Box: 259, Tanzania.
Onesfole
Kuramaa, Department of Mathematics, College of Natural Sciences,
Makerere University, P.O Box 7062, Kampala, Uganda, Email:
onesfole.kurama@mak.ac.ug.
Karina Pérez-Teruel,
Universidad Abierta para Adultos (UAPA), Santiago de los Caballeros,
República Dominicana, Email:
karinaperez@uapa.edu.do.
Neilys
González Benítez, Centro Meteorológico Pinar del Río, Cuba, Email:
neilys71@nauta.cu.
Jesus Estupinan Ricardo,
Centro de Estudios para la Calidad Educativa y la Investigation
Cinetifica, Toluca, Mexico, Email:
jestupinan2728@gmail.com.
Victor Christianto, Malang Institute of Agriculture (IPM), Malang,
Indonesia, Email:
victorchristianto@gmail.com.
Wadei Al-Omeri, Department of Mathematics,
Al-Balqa Applied University, Salt 19117, Jordan,
Email:
wadeialomeri@bau.edu.jo.
Ganeshsree Selvachandran, UCSI University, Jalan Menara Gading, Kuala Lumpur, Malaysia, Email:
Ganeshsree@ucsiuniversity.edu.my.
Ilanthenral Kandasamy, School of Computer Science
and Engineering (SCOPE),
Vellore Institute of Technology (VIT), Vellore 632014,
India, Email:
ilanthenral.k@vit.ac.in
Kul Hur, Wonkwang University, Iksan, Jeollabukdo, South Korea, Email:
kulhur@wonkwang.ac.kr.
Kemale Veliyeva & Sadi Bayramov,
Department of
Algebra and Geometry, Baku State University, 23 Z. Khalilov Str., AZ1148, Baku, Azerbaijan, Email:
kemale2607@mail.ru, Email:
baysadi@gmail.com.
Irma Makharadze & Tariel Khvedelidze, Ivane Javakhishvili
Tbilisi State University, Faculty of Exact and Natural Sciences, Tbilisi, Georgia.
Inayatur Rehman,
College of Arts and Applied Sciences, Dhofar University Salalah,
Oman, Email:
irehman@du.edu.om.
Mansour Lotayif, College of Administrative Sciences, Applied Science
University, P.O. Box 5055, East Al-Ekir, Kingdom of Bahrain.
Riad K. Al-Hamido, Math Department, College of Science, Al-Baath
University, Homs, Syria, Email:
riad-hamido1983@hotmail.com.
Saeed
Gul, Faculty of Economics, Kardan University, Parwan-e- Du Square,
Kabil, Afghanistan, Email:
s.gul@kardan.edu.af.
Faruk Karaaslan,
Çankırı Karatekin University, Çankırı, Turkey, Email:
fkaraaslan@karatekin.edu.tr.
Morrisson Kaunda Mutuku, School of
Business, Kenyatta University, Kenya
Surapati Pramanik, Department of Mathematics, Nandalal Ghosh B T
College, India, Email:
drspramanik@isns.org.in.
Suriana Alias,
Universiti Teknologi MARA (UiTM) Kelantan, Campus Machang, 18500
Machang, Kelantan, Malaysia, Email:
suria588@kelantan.uitm.edu.my.
Arsham
Borumand Saeid, Dept. of Pure Mathematics, Faculty of Mathematics
and Computer, Shahid Bahonar University of Kerman, Kerman,
Iran, Email:
arsham@uk.ac.ir.
Ahmed Abdel-Monem, Department of Decision support, Zagazig University,
Egypt, Email:
aabdelmounem@zu.edu.eg.
Çağlar Karamasa, Anadolu University,
Faculty of Business, Turkey,
Email: ckaramasa@anadolu.edu.tr.
Mohamed Talea, Laboratory of Information Processing, Faculty of
Science Ben M’Sik, Morocco,
Email:
taleamohamed@yahoo.fr.
Assia Bakali, Ecole Royale Navale, Casablanca, Morocco,
Email:
assiabakali@yahoo.fr.
V.V. Starovoytov, The
State Scientific Institution «The United Institute of Informatics
Problems of the National Academy of Sciences of Belarus», Minsk,
Belarus, Email:
ValeryS@newman.bas-net.by.
E.E. Eldarova, L.N. Gumilyov Eurasian National University, Nur-Sultan,
Republic of Kazakhstan, Email:
Doctorphd_eldarova@mail.ru.
Mukhamediyeva Dilnoz Tulkunovna
& Egamberdiev Nodir Abdunazarovich, Science and innovation
center for information and communication technologies, Tashkent
University of Information Technologies (named after Muhammad Al-Khwarizmi),
Uzbekistan.
Mohammad Hamidi,
Department of Mathematics, Payame Noor University (PNU), Tehran,
Iran.
Email:
m.hamidi@pnu.ac.ir.
Lemnaouar
Zedam, Department of Mathematics, Faculty of Mathematics and
Informatics, University Mohamed Boudiaf, M’sila, Algeria, Email:
l.zedam@gmail.com.
M. Al Tahan,
Department of Mathematics, Lebanese International University, Bekaa,
Lebanon, Email:
madeline.tahan@liu.edu.lb.
Mohammad Abobala, Tishreen
University, Faculty of Science, Department of Mathematics, Lattakia,
Syria, Email”
mohammad.abobala@tishreen.edu.sy.
Rafif Alhabib, AL-Baath University,
College of Science, Mathematical Statistics Department, Homs, Syria,
Email:
ralhabib@albaath-univ.edu.sy.
R. A. Borzooei, Department of
Mathematics, Shahid Beheshti University, Tehran, Iran,
borzooei@hatef.ac.ir.
Selcuk Topal, Mathematics Department, Bitlis Eren University,
Turkey, Email:
s.topal@beu.edu.tr.
Qin Xin, Faculty of Science and Technology, University of the Faroe
Islands, Tórshavn, 100, Faroe Islands.
Sudan Jha, Pokhara
University, Kathmandu, Nepal, Email:
jhasudan@hotmail.com.
Mimosette Makem and Alain Tiedeu, Signal, Image and Systems
Laboratory, Dept. of Medical and Biomedical Engineering, Higher
Technical Teachers’ Training College of EBOLOWA, PO Box 886,
University of Yaoundé, Cameroon, E-mail:
alain_tiedeu@yahoo.fr.
Mujahid Abbas, Department of Mathematics and Applied Mathematics,
University of Pretoria Hatfield 002, Pretoria, South
Africa, Email:
mujahid.abbas@up.ac.za.
Željko Stević, Faculty of Transport and Traffic Engineering
Doboj,
University of East Sarajevo, Lukavica, East Sarajevo, Bosnia and
Herzegovina, Email:
zeljko.stevic@sf.ues.rs.ba.
Michael Gr. Voskoglou, Mathematical Sciences
School of Technological Applications, Graduate Technological
Educational Institute of Western Greece, Patras, Greece, Email:
voskoglou@teiwest.gr.
Saeid
Jafari, College of Vestsjaelland South, Slagelse, Denmark, Email:
sj@vucklar.dk.
Angelo de Oliveira,
Ciencia da Computacao, Universidade Federal de Rondonia, Porto Velho
- Rondonia, Brazil, Email:
angelo@unir.br.
Valeri Kroumov, Okayama University of Science,
Okayama, Japan, Email:
val@ee.ous.ac.jp.
Rafael Rojas, Universidad Industrial de Santander, Bucaramanga,
Colombia, Email:
rafael2188797@correo.uis.edu.co.
Walid Abdelfattah, Faculty of Law, Economics
and Management, Jendouba, Tunisia, Email:
abdelfattah.walid@yahoo.com.
Akbar Rezaei, Department of Mathematics, Payame Noor University,
P.O.Box 19395-3697, Tehran, Iran, Email:
rezaei@pnu.ac.ir.
John Frederick D. Tapia, Chemical Engineering
Department, De La Salle University - Manila, 2401 Taft Avenue, Malate,
Manila, Philippines, Email:
john.frederick.tapia@dlsu.edu.ph.
Darren
Chong, independent researcher, Singapore, Email:
darrenchong2001@yahoo.com.sg.
Galina Ilieva, Paisii Hilendarski, University of Plovdiv, 4000
Plovdiv, Bulgaria, Email:
galili@uni-plovdiv.bg.
Paweł Pławiak, Institute of Teleinformatics, Cracow University of
Technology, Warszawska 24 st., F-5, 31-155 Krakow, Poland, Email:
plawiak@pk.edu.pl.
E. K. Zavadskas, Vilnius Gediminas Technical University, Vilnius, Lithuania, Email:
edmundas.zavadskas@vgtu.lt.
Darjan Karabasevic, University Business Academy, Novi Sad, Serbia, Email:
darjan.karabasevic@mef.edu.rs.
Dragisa
Stanujkic, Technical Faculty in Bor, University of Belgrade, Bor,
Serbia, Email:
dstanujkic@tfbor.bg.ac.rs.
Katarina Rogulj, Faculty of Civil Engineering, Architecture and
Geodesy, University of Split, Matice Hrvatske 15, 21000 Split,
Croatia; Email:
katarina.rogulj@gradst.hr.
Luige Vladareanu, Romanian Academy, Bucharest, Romania, Email:
luigiv@arexim.ro.
Hashem Bordbar, Center for Information
Technologies and Applied Mathematics, University of Nova Gorica,
Slovenia, Email:
Hashem.Bordbar@ung.si.
N. Smidova, Technical University of Kosice,
SK 88902, Slovakia, Email:
nsmidova@yahoo.com.
Tomasz Witczak, Institute of Mathematics,
University of Silesia, Bankowa 14, Katowice, Poland, E-mail:
tm.witczak@gmail.com.
Quang-Thinh Bui, Faculty of Electrical Engineering and Computer
Science, VŠB-Technical University of Ostrava, Ostrava-Poruba, Czech
Republic, Email:
qthinhbui@gmail.com.
Mihaela Colhon
& Stefan Vladutescu, University of Craiova,
Computer Science Department, Craiova, Romania, Emails:
colhon.mihaela@ucv.ro,
vladutescu.stefan@ucv.ro.
Philippe Schweizer, Independent Researcher,
Av. de Lonay 11, 1110 Morges,
Switzerland, Email:
flippe2@gmail.com.
Madjid Tavanab, Business Information Systems
Department, Faculty of Business Administration and Economics
University of Paderborn, D-33098 Paderborn, Germany, Email:
tavana@lasalle.edu.
Rasmus Rempling,
Chalmers University of Technology, Civil and Environmental
Engineering, Structural Engineering, Gothenburg, Sweden.
Fernando A. F. Ferreira,
ISCTE Business School, BRU-IUL, University Institute of Lisbon,
Avenida das Forças Armadas, 1649-026 Lisbon, Portugal, Email:
fernando.alberto.ferreira@iscte-iul.pt.
Julio J. Valdés, National Research Council Canada, M-50, 1200
Montreal Road, Ottawa, Ontario K1A 0R6, Canada, Email:
julio.valdes@nrc-cnrc.gc.ca.
Tieta Putri, College of
Engineering Department of Computer Science and Software Engineering,
University of Canterbury, Christchurch, New Zeeland.
Phillip
Smith, School of Earth and Environmental Sciences, University of
Queensland, Brisbane, Australia,
phillip.smith@uq.edu.au.
Sergey
Gorbachev, National Research Tomsk State University, 634050 Tomsk,
Russia, Email:
gsv@mail.tsu.ru.
Sabin
Tabirca, School of Computer Science, University College Cork, Cork,
Ireland, Email:
tabirca@neptune.ucc.ie.
Umit
Cali, Norwegian University of Science and Technology, NO-7491
Trondheim, Norway, Email:
umit.cali@ntnu.no.
Willem K. M. Brauers, Faculty of Applied Economics, University of Antwerp, Antwerp, Belgium, Email:
willem.brauers@uantwerpen.be.
M. Ganster, Graz University of Technology, Graz, Austria, Email:
ganster@weyl.math.tu-graz.ac.at.
Ignacio J. Navarro, Department of Construction Engineering,
Universitat Politècnica de València, 46022 València, Spain, Email:
ignamar1@cam.upv.es.
Francisco Chiclana, School of Computer Science and Informatics, De
Montfort University, The Gateway, Leicester, LE1 9BH, United
Kingdom, Email:
chiclana@dmu.ac.uk.
Jean Dezert, ONERA, Chemin de la
Huniere, 91120 Palaiseau, France, Email:
jean.dezert@onera.fr.
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