Florentin marandache (author and editor) ollected apers (on Neutrosophics, Plithogenics, Hypersoft Set, and other topics) lobal nowledge 2022 Florentin Smarandache (author and editor) Collected Papers (on Neutrosophics, Plithogenics, Hypersoft Set, Hypergraphs, and other topics) Volume X Peer-Reviewers: Akbar Rezaei Department of Mathematics, Payame Noor University, Tehran, IRAN [email protected] Xindong Peng School of Information Science and Engineering, Shaoguan University, Shaoguan, PR CHINA [email protected] Muhammad Saeed Department of Mathematics, University of Management and Technology, Lahore, PAKISTAN [email protected] Selçuk Topal Mathematics Department, Bitlis Eren University, TURKEY [email protected] Memet Şahin Department of Mathematics, Gaziantep University, Gaziantep, TURKEY [email protected] Muhammad Aslam King Abdulaziz University, Jeddah, SAUDI ARABIA [email protected] Florentin Smarandache (author and editor) Collected Papers (on Neutrosophics, Plithogenics, Hypersoft Set, Hypergraphs, and other topics) Volume X GLOBAL KNOWLEDGE Publishing House Miami, United States of America 2022 Editors: GLOBAL KNOWLEDGE - Publishing House 848 Brickell Ave Ste 950 Miami Florida 33131, United States https://egk.ccgecon.us [email protected] ADSUMUS – Scientific and Cultural Society 13, Dimitrie Cantemir St. 410473 Oradea City, Romania https://adsumus.wordpress.com/ [email protected] NSIA Publishing House Neutrosphic Science International Association https://www.publishing-nsia.com/ University of New Mexico, Gallup, United States Universidad Regional Autónoma de los Andes (UNIANDES), Babahoyo, Los Rios, Ecuador Publishing: Prof. Dan Florin Lazar [email protected] Prof. Dr. Maykel Yelandi Leyva Vazquez [email protected] ISBN 978-1-59973-737-9 Florentin Smarandache (author and editor) Collected Papers, X Introductory Note This tenth volume of Collected Papers includes 86 papers in English and Spanish comprising 972 pages mainly on Neutrosophics, Plithogenics, Hypersoft Set, Hypergraphs, but also on various other topics such as Pandemic, COVID-19, Low-Level Laser Therapy, Neurology Disorders, Phytochemistry, Phytomedicine, Plant Medicine, Mannose-Binding Lectins, Moringa Oleifera uses, DNA Transduction, Information Medicine, Ivermectin, Laser LED Pointer, Deep Learning, Edge Computing, Transfer Learning, Ratio estimators, Mean square error, Impact factor, Journal impact factor, Garfield impact factor, improved impact factor, extended impact factor, total impact factor, Blue ocean shift, hospitality, restaurant industry, customer satisfaction, Software development methodology, intelligent control, real time control systems, hardening process, materials, high-frequency currents, robot simulation, graphical user interface, semantic word representation, sentiment classiffication, and so on, written between 2014-2022 by the author alone or in collaboration with the following 105 co-authors (alphabetically ordered) from 26 countries: Abu Sufian, Ali Hassan, Ali Safaa Sadiq, Anirudha Ghosh, Assia Bakali, Atiqe Ur Rahman, Laura Bogdan, Willem K.M. Brauers, Erick González Caballero, Fausto Cavallaro, Gavrilă Calefariu, T. Chalapathi, Victor Christianto, Mihaela Colhon, Sergiu Boris Cononovici, Mamoni Dhar, Irfan Deli, Rebeca Escobar-Jara, Alexandru Gal, N. Gandotra, Sudipta Gayen, Vassilis C. Gerogiannis, Noel Batista Hernández, Hongnian Yu, Hongbo Wang, Mihaiela Iliescu, F. Nirmala Irudayam, Sripati Jha, Darjan Karabašević, T. Katican, Bakhtawar Ali Khan, Hina Khan, Volodymyr Krasnoholovets, R. Kiran Kumar, Manoranjan Kumar Singh, Ranjan Kumar, M. Lathamaheswari, Yasar Mahmood, Nivetha Martin, Adrian Mărgean, Octavian Melinte, Mingcong Deng, Marcel Migdalovici, Monika Moga, Sana Moin, Mohamed Abdel-Basset, Mohamed Elhoseny, Rehab Mohamed, Mohamed Talea, Kalyan Mondal, Muhammad Aslam, Muhammad Aslam Malik, Muhammad Ihsan, Muhammad Naveed Jafar, Muhammad Rayees Ahmad, Muhammad Saeed, Muhammad Saqlain, Muhammad Shabir, Mujahid Abbas, Mumtaz Ali, Radu I. Munteanu, Ghulam Murtaza, Munazza Naz, Tahsin Oner, Gabrijela Popović, Surapati Pramanik, R. Priya, S.P. Priyadharshini, Midha Qayyum, Quang-Thinh Bui, Shazia Rana, Akbara Rezaei, Jesús Estupiñán Ricardo, Rıdvan Sahin, Saeeda Mirvakili, Said Broumi, A. A. Salama, Flavius Aurelian Sârbu, Ganeshsree Selvachandran, Javid Shabbir, Shio Gai Quek, Son Hoang Le, Florentin Smarandache, Dragiša Stanujkić, S. Sudha, Taha Yasin Ozturk, Zaigham Tahir, The Houw Iong, Ayse Topal, Alptekin Ulutaș, Maikel Yelandi Leyva Vázquez, Rizha Vitania, Luige Vlădăreanu, Victor Vlădăreanu, Ștefan Vlăduțescu, J. Vimala, Dan Valeriu Voinea, Adem Yo lcu, Yongfei Feng, Abd El-Nasser H. Zaied, Edmundas Kazimieras Zavadskas. 5 Florentin Smarandache (author and editor) Collected Papers, X Florentin Smarandache is professor of mathematics at the University of New Mexico and he published over 300 articles and books. He coined the words "neutrosophy" [(French neutre < Latin neuter, neutral, and Greek sophia, skill/wisdom) means knowledge of neutral thought] and its derivatives: neutrosophic, neutrosophication, neutrosophicator, deneutrosophication, deneutrosophicator, etc. He is the founder and developer of neutrosophic set / logic / probability / statistics etc. In 2006 he introduced the degree of dependence/independence between the neutrosophic components T, I, F. In 2007 he extended the neutrosophic set to Neutrosophic Overset (when some neutrosophic component is > 1), and to Neutrosophic Underset (when some neutrosophic component is < 0), and to Neutrosophic Offset (when some neutrosophic components are off the interval [0, 1], i.e. some neutrosophic component > 1 and some neutrosophic component < 0). Then, similar extensions to respectively Neutrosophic Over/Under/Off Logic, Measure, Probability, Statistics etc. Then, introduced the Neutrosophic Tripolar Set and Neutrosophic Multipolar Set, also the Neutrosophic Tripolar Graph and Neutrosophic Multipolar Graph. He then generalized the Neutrosophic Logic/Set/Probability to Refined Neutrosophic Logic/Set/Probability [2013], where T can be split into subcomponents T1, T2, ..., Tp, and I into I1, I2, ..., Ir, and F into F1, F2, ..., Fs, where p+r+s = n ≥ 1. Even more: T, I, and/or F (or any of their subcomponents Tj ,Ik, and/or Fl) could be countable or uncountable infinite sets. In 2015 he refined the indeterminacy "I", within the neutrosophic algebraic structures, into different types of indeterminacies (depending on the problem to solve), such as I1, I2, , Ip with integer p ≥ 1, and obtained the refined neutrosophic numbers of the form Np = a+b1I1+b2I2+ +bpIp where a, b1, b2, , bp are real or complex numbers, and a is called the determinate part of Np, while for each k in {1, 2, , p} Ik is called the k-th indeterminate part of Np. Then consequently he extended the neutrosophic algebraic structures to Refined Neutrosophic Algebraic Structures [or Refined Neutrosophic I-Algebraic Structures] (2015), which are algebraic structures based on sets of the refined neutrosophic numbers a+b1I1+b2I2+ +bpIp. He introduced the (T, I, F)-Neutrosophic Structures [2015]. In any field of knowledge, each structure is composed from two parts: a space, and a set of axioms (or laws) acting (governing) on it. If the space, or at least one of its axioms (laws), has some indeterminacy, that structure is a (T, I, F)-Neutrosophic Structure. And he extended them to the (T, I, F)-Neutrosophic I-Algebraic Structures [2015], i.e. algebraic structures based on neutrosophic numbers of the form a+bI, but also having indeterminacy related to the structure space (elements which only partially belong to the space, or elements we know nothing if they belong to the space or not) or indeterminacy related to at least an axiom (or law) acting on the structure space. Then he extended them to Refined (T, I, F)-Neutrosophic Refined I-Algebraic Structures. Also, he proposed an extension of the classical probability and the imprecise probability to the 'neutrosophic probability' [1995], that he defined as a tridimensional vector whose components are real subsets of the non-standard interval [-0, 1+] introduced the neutrosophic measure and neutrosophic integral: http://fs.gallup.unm.edu/NeutrosophicMeasureIntegralProbability.pdf and also extended the classical statistics to neutrosophic statistics: http://fs.gallup.unm.edu/NeutrosophicStatistics.pdf 6 Florentin Smarandache (author and editor) Collected Papers, X Contents Neutrosophics A.Salama, Said Broumi, Florentin Smarandache Some Types of Neutrosophic Crisp Sets and Neutrosophic Crisp Relations / 32 Said Broumi, Irfan Deli, Florentin Smarandache Neutrosophic Parametrized Soft Set Theory and Its Decision Making / 40 Said Broumi, Rıdvan Sahin, Florentin Smarandache Generalized Interval Neutrosophic Soft Set and its Decision-Making Problem / 51 Florentin Smarandache, Mumtaz Ali, Munazza Naz, Muhammad Shabir Soft Neutrosophic Left Almost Semigroup / 70 Said Broumi, Florentin Smarandache Lower and Upper Soft Interval Valued Neutrosophic Rough Approximations of an IVNSS-Relation / 80 Said Broumi, Florentin Smarandache, Mamoni Dhar Rough Neutrosophic Sets / 88 Irfan Deli, Mumtaz Ali, Florentin Smarandache Bipolar Neutrosophic Sets and Their Application Based on Multi-Criteria Decision-Making Problems / 98 Florentin Smarandache Neutrosophic social structures specificities / 104 Said Broumi, Mohamed Talea, Assia Bakali, Florentin Smarandache On Strong Interval Valued Neutrosophic Graphs / 112 Kalyan Mondal, Surapati Pramanik, Florentin Smarandache Rough Neutrosophic Hyper-complex set and its Application to Multi-attribute Decision Making / 135 Florentin Smarandache, Maikel Leyva-Vázquez Fundamentos de la lógica y los conjuntos neutrosóficos y su papel en la inteligencia artificial (Fundamentals of neutrosophic logic and sets and their role in artificial intelligence) / 148 Maikel Leyva-Vázquez, Rebeca Escobar-Jara, Florentin Smarandache Modelos mentales y mapas cognitivos neutrosóficos (Mental models and neutrosophic cognitive maps) / 154 Maikel Leyva-Vázquez, Florentin Smarandache Modelo de Recomendación Basado en Conocimiento y Números SVN (Modelo de Recomendación Basado en Conocimiento y Números SVN) / 163 7 Florentin Smarandache (author and editor) Collected Papers, X Florentin Smarandache Lógica neutrosófica refinada n valuada y sus aplicaciones a la física (n-Valued Refined Neutrosophic Logic and Its Applications to Physics) / 170 Maikel Leyva-Vázquez, Florentin Smarandache Computación neutrosófica mediante Sympy (Neutrosophic Computing with Sympy) / 175 Florentin Smarandache Operadores con conjunto neutrosóficos de valor único Oversets, Undersets y Offset / 181 T.Chalapathi, R. V. M. S. S. Kiran Kumar, Florentin Smarandache Neutrosophic Invertible Graphs of Neutrosophic Rings / 185 Florentin Smarandache Grado de dependencia e independencia de los (sub) componentes de Conjuntos Borrosos y Neutrosóficos / 194 Florentín Smarandache Tripleta de estructura Neutrosófica y Tripleta de estructura Neutrosófica extendida / 200 Florentín Smarandache Historia de las Teorías Neutrosóficas y sus Aplicaciones (actualizado) / 207 Erick González Caballero, Florentin Smarandache, Maikel Leyva Vázquez On Neutrosophic Offuninorms / 212 Maikel Leyva Vázquez, Jesús Estupiñan, Florentin Smarandache Neutrosofía en Latinoamérica, avances y perspectivas (Neutrosophics in Latin America, advances and perspectives) / 238 A. A. Salama, Florentin Smarandache Neutrosophic Local Function and Generated Neutrosophic Topology / 245 Florentin Smarandache, Jesús Estupiñán Ricardo, Erick González Caballero, Maikel Yelandi Leyva Vázquez, Noel Batista Hernández Delphi method for evaluating scientific research proposals in a neutrosophic environment / 251 Maikel Leyva-Vázquez, Florentin Smarandache Resolucion de sistemas de ecuaciones lineales neutrosóficas mediante computación simbólica (Solving neutrosophic linear equations systems using symbolic computation) / 261 M.Lathamaheswari, S. Sudha, Said Broumi, Florentin Smarandache Neutrosophic Perspective of Neutrosophic Probability Distributions and its Application / 267 Florentin Smarandache Introducción a la Super-Hiper-Álgebra y la Super-Hiper-Álgebra Neutrosófica (Introduction to Super-Hyper-Algebra and Neutrosophic Super-Hyper- Algebra) / 281 8 Florentin Smarandache (author and editor) Collected Papers, X Florentin Smarandache La Neutro-Geometría y la Anti-Geometría como Alternativas y Generalizaciones de las Geometrías no Euclidianas (Neurometrics and Anti-Geometry as Alternatives and Generalizations of Non-Euclidean Geometries) / 287 Saeed Mirvakili, Florentin Smarandache, Akbar Rezaei On neutro-Hv-semigroups / 301 Florentin Smarandache The SuperHyperFunction and the Neutrosophic SuperHyperFunction / 318 Plithogenics Florentin Smarandache Plithogenic Set, an Extension of Crisp, Fuzzy, Intuitionistic Fuzzy, and Neutrosophic Sets - Revisited / 326 Florentin Smarandache Conjunto plitogénico, una extensión de los conjuntos crisp, difusos, conjuntos difusos intuicionistas y neutrosóficos revisitado / 340 Shazia Rana, Madiha Qayyum, Muhammad Saeed, Florentin Smarandache, Bakhtawar Ali Khan Plithogenic Fuzzy Whole Hypersoft Set, Construction of Operators and their Application in Frequency Matrix Multi Attribute Decision Making Technique / 359 Florentin Smarandache Extension of Soft Set to Hypersoft Set, and then to Plithogenic Hypersoft Set / 376 Mohamed Abdel-Basset, Rehab Mohamed, Abd El-Nasser H. Zaied, Florentin Smarandache A Hybrid Plithogenic Decision-Making Approach with Quality Function Deployment for Selecting Supply Chain Sustainability Metrics / 383 Shazia Rana, Muhammad Saeed, Midha Qayyum, Florentin Smarandache Plithogenic Subjective Hyper-Super-Soft Matrices with New Definitions & Local, Global, Universal Subjective Ranking Model / 404 Nivetha Martin, Florentin Smarandache Plithogenic Cognitive Maps in Decision Making / 428 S.P. Priyadharshini, F. Nirmala Irudayam, Florentin Smarandache Plithogenic Cubic Sets / 441 Sudipta Gayen, Florentin Smarandache, Sripati Jha, Manoranjan Kumar Singh, Said Broumi, Ranjan Kumar Introduction to Plithogenic Hypersoft Subgroup / 450 Shio Gai Quek, Ganeshsree Selvachandran, Florentin Smarandache, J. Vimala, Son Hoang Le, Quang-Thinh Bui, Vassilis C. Gerogiannis Entropy Measures for Plithogenic Sets and Applications in Multi-Attribute Decision Making / 476 9