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Vol. 34, 2020, SI ISSN 2331-6055 (print) ISSN 2331 – 608X (online) Copyright © Neutrosophic Sets and Systems, 2020 ISSN 2331-6055 (print) ISSN 2331 – 608X (online) Neutrosophic Sets and Systems An International Journal in Information Science and Engineering University of New Mexico United States Copyright © Neutrosophic Sets and Systems, 2020 ISSN 2331-6055 (print) ISSN 2331 – 608X (online) U n iv e r s i ty of Ne w Me x i co Neutrosophic Sets and Systems An International Journal in Information Science and Engineering Copyright Notice Copyright @ Neutrosophics Sets and Systems All rights reserved. The authors of the articles do hereby grant Neutrosophic Sets and Systems non-exclusive, worldwide, royalty-free license to publish and distribute the articles in accordance with the Budapest Open Initi- ative: this means that electronic copying, distribution and printing of both full-size version of the journal and the individual papers published therein for non-commercial, academic or individual use can be made by any user without permission or charge. The authors of the articles published in Neutrosophic Sets and Systems retain their rights to use this journal as a whole or any part of it in any other publications and in any way they see fit. Any part of Neutrosophic Sets and Systems howsoever used in other publications must include an appropriate citation of this journal. Information for Authors and Suscribers “Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. The submitted papers should be professional, in good English, containing a brief review of a problem and obtained results. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their inter- actions with different ideational spectra. This theory considers every notion or idea <A> together with its opposite or negation <antiA> and with their spectrum of neutralities <neutA> in between them (i.e. notions or ideas supporting neither <A> nor <antiA>). The <neutA> and <antiA> ideas together are referred to as <nonA>. Neutrosophy is a generalization of Hegel's dialectics (the last one is based on <A> and <antiA> only). According to this theory every idea <A> tends to be neutralized and balanced by <antiA> and <nonA> ideas - as a state of equilibrium. In a classical way <A>, <neutA>, <antiA> are disjoint two by two. But, since in many cases the borders between notions are vague, imprecise, Sorites, it is possible that <A>, <neutA>, <antiA> (and <nonA> of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic). In neutrosophic logic a proposition has a degree of truth (T), a degree of indeterminacy (I), and a degree of falsity (F), where T, I, F are standard or non-standard subsets of ]-0, 1+[. Neutrosophic Probability is a generalization of the classical probability and imprecise probability. Neutrosophic Statistics is a generalization of the classical statistics. What distinguishes the neutrosophics from other fields is the <neutA>, which means neither <A> nor <antiA>. <neutA>, which of course depends on <A>, can be indeterminacy, neutrality, tie game, unknown, contradiction, igno- rance, imprecision, etc. All submissions should be designed in MS Word format using our template file: http://fs.unm.edu/NSS/NSS-paper-template.doc. A variety of scientific books in many languages can be downloaded freely from the Digital Library of Science: http://fs.unm.edu/ScienceLibrary.htm. To submit a paper, mail the file to the Editor-in-Chief. To order printed issues, contact the Editor-in-Chief. This journal is non-commercial, academic edition. It is printed from private donations. Information about the neutrosophics you get from the UNM website: http://fs.unm.edu/neutrosophy.htm. The home page of the journal is accessed on http://fs.unm.edu/NSS. Copyright © Neutrosophic Sets and Systems, 2020 Editorial Board ISSN 2331-6055 (print) ISSN 2331 – 608X (online) Un iv e r s i ty of Ne w Mex i co Editors-in-Chief Prof. Dr. Florentin Smarandache, PhD, Postdoc, Mathematics Department, University of New Mexico, Gallup, NM 87301, USA, Email: [email protected]. Dr. Mohamed Abdel-Basset, Faculty of Computers and Informatics, Zagazig University, Egypt, Email: [email protected]. Prof. Dr. Maikel Leyva Vazquez, Salesian Polytechnic University of Guayaquil, Guayas, Ecuador, Email: [email protected]. Associate Editors Dr. Jesús Estupiñán Ricardo, Autonomous Regional University of The Andes, Babahoyo extension, Los Ríos, Ecuador. Email: [email protected] Dr. Noel Batista Hernández, University of Guayaquil, Guayas, Ecuador. Email: [email protected] Ing. Ángel Martínez Vásquez, Latin American Association of Neutrosophic Sciences Email: [email protected] Abg. Johanna Irene Escobar Jara, Latin American Association of Neutrosophic Sciences Email: [email protected] Dr. Said Broumi, University of Hassan II, Casablanca, Morocco, Email: [email protected]. Prof. Le Hoang Son, VNU Univ. of Science, Vietnam National Univ. Hanoi, Vietnam, Email: [email protected]. Dr. Huda E. Khalid, University of Telafer, College of Basic Education, Telafer - Mosul, Iraq, Email: [email protected]. Prof. Xiaohong Zhang, Department of Mathematics, Shaanxi University of Science &Technology, Xian 710021, China, Email: [email protected]. Dr. Harish Garg, School of Mathematics, Thapar Institute of Engineering & Technology, Patiala 147004, Punjab, India, Email: [email protected]. Editors W. B. Vasantha Kandasamy, School of Jun Ye, Shaoxing University, China, Email: Computer Science and Engineering, VIT, [email protected] Vellore 632014, India, Email: Madad Khan, Comsats Institute of [email protected] Information Technology, Abbottabad, A. A. Salama, Faculty of Science, Port Said Pakistan, Email: [email protected]. University, Egypt, Email: Dmitri Rabounski and Larissa Borissova, [email protected]. Independent Researchers, Emails: Young Bae Jun, Gyeongsang National [email protected], University, South Korea, Email: [email protected] [email protected]. Selcuk Topal, Mathematics Department, Bitlis Vakkas Ulucay, Gaziantep University, Eren University, Turkey, Email: Gaziantep, Turkey, Email: [email protected]. [email protected]. Ibrahim El- henawy, Faculty of Computers Peide Liu, Shandong University of Finance and Informatics, Zagazig University, Egypt, and Economics, China, Email: Email: [email protected]. [email protected]. A. A. Agboola, Federal University of Mehmet Şahin, Department of Mathematics, Agriculture, Abeokuta, Nigeria, Email: Gaziantep University, Gaziantep 27310, [email protected]. Turkey, Email: [email protected]. Luu Quoc Dat, Univ. of Economics and Mohammed Alshumrani & Cenap Ozel, King Business, Vietnam National Univ., Hanoi, Abdulaziz Univ., Jeddah, Saudi Arabia, Vietnam, Email: [email protected]. Emails: [email protected], [email protected]. Copyright © Neutrosophic Sets and Systems, 2020 Editorial Board ISSN 2331-6055 (print) ISSN 2331 – 608X (online) U n iv e r s i t y of Ne w Me x i co Irfan Deli, Muallim Rifat Faculty of Ameirys Betancourt-Vázquez, 1 Instituto Education, Kilis 7 Aralik University, Turkey, Superior Politécnico de Tecnologias e Email: [email protected]. Ciências (ISPTEC), Luanda, Angola, E-mail: Muhammad Akram, University of the Punjab, [email protected]. New Campus, Lahore, Pakistan, Email: Karina Pérez-Teruel, Universidad Abierta [email protected]. para Adultos (UAPA), Santiago de los Ridvan Sahin, Department of Mathematics, Caballeros, República Dominicana, E-mail: Faculty of cience, Ataturk University, [email protected]. Erzurum 25240, Turkey, Email: B. Davvaz, Department of Mathematics, Yazd [email protected]. University, Iran, Email: [email protected]. Victor Christianto, Malang Institute of Faruk Karaaslan, Çankırı Karatekin Agriculture (IPM), Malang, Indonesia, Email: University, Çankırı, Turkey, E-mail: [email protected]. [email protected]. Wadei Al-Omeri, Department of Suriana Alias, Universiti Teknologi MARA Mathematics, Al- Balqa Applied University, (UiTM) Kelantan, Campus Machang, 18500 Salt 19117, Jordan, Email: Machang, Kelantan, Malaysia, Email: [email protected]. [email protected]. Ganeshsree Selvachandran, UCSI University, Angelo de Oliveira, Ciencia da Computacao, Jalan Menara Gading, Kuala Lumpur, Universidade Federal de Rondonia, Porto Malaysia, Email: [email protected]. Velho - Rondonia, Brazil, Email: Ilanthenral Kandasamy, School of Computer [email protected]. Science and Engineering (SCOPE), Vellore Valeri Kroumov, Okayama University of Institute of Technology (VIT), Vellore Science, Japan, Email: [email protected]. 632014, Tamil Nadu, India, Email: E.K. Zavadskas, Vilnius Gediminas [email protected] Technical University, Vilnius, Lithuania, Kul Hur, Wonkwang University, Iksan Email: [email protected]. Jeollabukdo, South Korea, Email: Darjan Karabasevic, University Business [email protected]. Academy, Novi Sad, Serbia, Email: Kemale Veliyeva & Sadi Bayramov, [email protected]. Department
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