Collected Papers (on Neutrosophics, Plithogenics, Hypersoft Set, Hypergraphs, and other topics), Volume X

2022·52.7 MB·English

by  Florentin Smarandache

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.
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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
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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
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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
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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
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