Collected Papers (on various scientific topics), Volume XIII

2022·33.8 MB·

by  Florentin Smarandache

Florentin
marandache
(author and editor)
ollected
apers
(on Neutrosophics Theory
and Applications)
lobal
nowledge
2022
Florentin Smarandache
(author and editor)
Collected Papers
(on Neutrosophics Theory and Applications)
Volume XII
Peer-Reviewers:
Saeid Jafari
College of Vestsjaelland South, Slagelse, DENMARK
[email protected]
Ali Hussein Mahmood Al-Obaidi
College of Education for Pure Science, University of Babylon, Hillah, IRAQ
[email protected]
S.Satham Hussain
Jamal Mohamed College, Trichy, Tamil Nadu, INDIA
[email protected]
Le Hoang Son
Vietnam National University, Hanoi, SR VIETNAM
[email protected]
Erick González-Caballero
Technological University of Havana, Havana, CUBA
[email protected]
Muhammad Akram
University of the Punjab, Lahore, PAKISTAN
[email protected]
Florentin Smarandache
(author and editor)
Collected Papers
(on Neutrosophics Theory and Applications)
Volume XII
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 978-1-59973-741-6
Florentin Smarandache (author and editor) Collected Papers, XII
Introductory Note
This twelfth volume of Collected Papers includes 86 papers comprising 976 pages on Neutrosophic Theories
and their Applications, published between 2013-2021 in the international book series about neutrosophic sets and
systems by the author alone or in collaboration with the following 112 co-authors (alphabetically ordered) from 21
countries: Abdel Nasser H. Zaied, Muhammad Akram, Bobin Albert, S. A. Alblowi, S. Anitha, Guennoun Asmae,
Assia Bakali, Ayman M. Manie, Abdul Sami Awan, Azeddine Elhassouny, Erick González-Caballero, D. Dafik,
Mithun Datta, Arindam Dey, Mamouni Dhar, Christopher Dyer, Nur Ain Ebas, Mohamed Eisa, Ahmed K. Essa, Faruk
Karaaslan, João Alcione Sganderla Figueiredo, Jorge Fernando Goyes García, N. Ramila Gandhi, Sudipta Gayen,
Gustavo Alvarez Gómez, Sharon Dinarza Álvarez Gómez, Haitham A. El-Ghareeb, Hamiden Abd El-Wahed Khalifa,
Masooma Raza Hashmi, Ibrahim M. Hezam, German Acurio Hidalgo, Le Hoang Son, R. Jahir Hussain, S. Satham
Hussain, Ali Hussein Mahmood Al-Obaidi, Hays Hatem Imran, Nabeela Ishfaq, Saeid Jafari, R. Jansi, V. Jeyanthi,
M. Jeyaraman, Sripati Jha, Jun Ye, W.B. Vasantha Kandasamy, Abdullah Kargın, J. Kavikumar, Kawther Fawzi
Hamza Alhasan, Huda E. Khalid, Neha Andalleb Khalid, Mohsin Khalid, Madad Khan, D. Koley, Valeri Kroumov,
Manoranjan Kumar Singh, Pavan Kumar, Prem Kumar Singh, Ranjan Kumar, Malayalan Lathamaheswari, A.N.
Mangayarkkarasi, Carlos Rosero Martínez, Marvelio Alfaro Matos, Mai Mohamed, Nivetha Martin, Mohamed Abdel-
Basset, Mohamed Talea, K. Mohana, Muhammad Irfan Ahamad, Rana Muhammad Zulqarnain, Muhammad Riaz,
Muhammad Saeed, Muhammad Saqlain, Muhammad Shabir, Muhammad Zeeshan, Anjan Mukherjee, Mumtaz Ali,
Deivanayagampillai Nagarajan, Iqra Nawaz, Munazza Naz, Roan Thi Ngan, Necati Olgun, Rodolfo González Ortega,
P.Pandiammal, I. Pradeepa, R. Princy, Marcos David Oviedo Rodríguez, Jesús Estupiñán Ricardo, A. Rohini, Sabu
Sebastian, Abhijit Saha, Mehmet Șahin, Said Broumi, Saima Anis, A.A. Salama, Ganeshsree Selvachandran, Seyed
Ahmad Edalatpanah, Sajana Shaik, Soufiane Idbrahim, S. Sowndrarajan, Mohamed Talea, Ruipu Tan, Chalapathi
Tekuri, Selçuk Topal, S. P. Tiwari, Vakkas Uluçay, Maikel Leyva Vázquez, Chinnadurai Veerappan, M.
Venkatachalam, Luige Vlădăreanu, Ştefan Vlăduţescu, Young Bae Jun, Wadei F. Al-Omeri, Xiao Long Xin.
Keywords
Neutrosophy; Neutrosophic Logic; Neutrosophic Sets; Neutrosophic Crisp Set; Neutrosophic Topology; Neutrosophic
Crisp Topology; Interval-Valued Neutrosophic Set; Interval-Valued Neutrosophic Subring; Interval-Valued
Neutrosophic Normal Subring; Interval-Valued Neutrosophic Hypersoft Set; Neutrosophic Multiple Regression;
Neutrosophic Regression; Neutrosophic Correlation; Neutrosophic Implication; Single Valued Neutrosophic
Numbers; Neutrosophic Uninorm; Neutrosophic Implicatory; Neutrosophic Components; Neutrosophic Offset
Components; Neutrosophic Distance; Similarity Measure; Bipolar Neutrosophic Sets; Neutrosophic Soft Rough Set;
Single-Valued Neutrosophic Triplet Numbers; Single-Valued Neutrosophic Score Function; Single-Valued
Neutrosophic Accuracy Function; Single-Valued Neutrosophic Certainty Function; Entropy Measure; Medical
Diagnosis; Autoimmune Disease; Fuzzy Cognitive Maps; Neutrosophic Hypergraphs; Optimal Decision Making;
Neutrosophic Cubic Translation; Neutrosophic Cubic Multiplication; Neutrosophic Cubic BF Ideal; Neutrosophic
Cubic BF Subalgebra; Neutrosophic Cubic Magnified Translation; Quadratic Residues; Quadratic Nonresidues;
Neutrosophic Quadratic Residues; Neutrosophic Quadratic Nonresidues; Neutrosophic Quadratic Residue Graph;
Neutrosophic Quadratic Nonresidue Graph; Fuzzy Neutrosophic Soft Mapping; Coincidence Point; Fixed Point;
Centroid Points; Neutrosophic Metric Space; Banach Contraction; Edelstein Contraction; Trapezoidal Fuzzy
Neutrosophic Numbers; TriVariate Truth-Value; MultiVariate Truth-Value; UniVariate Truth-Value; Automata
Theory; Box Function; Sociogram; Neutrosophic Sociogram; Neutrosociology; Group Analysis; Sociometry
Analysis; Communication; Information; Extensics.
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Florentin Smarandache (author and editor) Collected Papers, XII
Florentin Smarandache is an emeritus prof. dr. of mathematics
at the University of New Mexico, United States. He got his
MSc in Mathematics and Computer Science from the
University of Craiova, Romania, PhD in Mathematics from the
State University of Kishinev, and Postdoctoral in Applied
Mathematics from Okayama University of Sciences, Japan, and
The Guangdong University of Technology, Guangzhou, China.
He is the founder of neutrosophy (generalization of dialectics),
neutrosophic set, logic, probability and statistics since 1995 and
has published hundreds of papers and books on neutrosophic
physics, superluminal and instantaneous physics, unmatter,
quantum paradoxes, absolute theory of relativity, redshift and
blueshift due to the medium gradient and refraction index besides the Doppler effect, paradoxism,
outerart, neutrosophy as a new branch of philosophy, Law of Included Multiple-Middle,
multispace and multistructure, hypersoft set, IndetermSoft Set and IndetermHyperSoft Set,
SuperHyperGraph, SuperHyperTopology, SuperHyperAlgebra, Neutrosophic
SuperHyperAlgebra, degree of dependence and independence between neutrosophic components,
refined neutrosophic set, neutrosophic over-under-off-set, plithogenic set / logic / probability /
statistics, neutrosophic triplet and duplet structures, quadruple neutrosophic structures, extension
of algebraic structures to NeutroAlgebra and AntiAlgebra, NeutroGeometry & AntiGeometry,
Dezert-Smarandache Theory and so on to many peer-reviewed international journals and many
books and he presented papers and plenary lectures to many international conferences around the
world.
In addition, he published many books of poetry, dramas, children’ stories, translations, essays, a
novel, folklore collections, traveling memories, and art albums
[ http://fs.unm.edu/FlorentinSmarandache.htm ].
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Florentin Smarandache (author and editor) Collected Papers, XII
Contents
Florentin Smarandache
Neutrosophic Measure and Neutrosophic Integral / 29
Muhammad Shabir, Mumtaz Ali, Munazza Naz, and Florentin Smarandache
Soft Neutrosophic Group / 34
A.A. Salama. Florentin Smarandache
Filters via Neutrosophic Crisp Sets / 47
Florentin Smarandache, Ştefan Vlăduțescu
Communication vs. Information, an Axiomatic Neutrosophic Solution / 51
Said Broumi, Florentin Smarandache
Several Similarity Measures of Neutrosophic Sets / 59
Said Broumi, Florentin Smarandache
On Neutrosophic Implications / 68
A.A. Salama, Florentin Smarandache, Valeri Kroumov
Neutrosophic Crisp Sets & Neutrosophic Crisp Topological Spaces / 77
Vasantha Kandasamy, Florentin Smarandache
Neutrosophic Lattices / 83
Mumtaz Ali, Florentin Smarandache, Muhammad Shabir, Munazza Naz
Soft Neutrosophic Bigroup and Soft Neutrosophic N-Group / 89
A.A. Salama, Florentin Smarandache, S.A. Alblowi
The Characteristic Function of a Neutrosophic Set / 116
Mamouni Dhar, Said Broumi, Florentin Smarandache
A Note on Square Neutrosophic Fuzzy Matrices / 120
A.A. Salama, Haitham A. El-Ghareeb, Ayman M. Manie, Florentin Smarandache
Introduction to Develop Some Software Programs for Dealing with Neutrosophic
Sets / 125
Mumtaz Ali, Florentin Smarandache, Muhammad Shabir, Munazza Naz
Soft Neutrosophic Ring and Soft Neutrosophic Field / 127
A.A. Salama, Florentin Smarandache, S.A. Alblowi
New Neutrosophic Crisp Topological Concepts / 134
Mumtaz Ali, Christopher Dyer, Muhammad Shabir, Florentin Smarandache
Soft Neutrosophic Loops and Their Generalization / 139
Mumtaz Ali, Florentin Smarandache, Muhammad Shabir, Luige Vladareanu
Generalization of Neutrosophic Rings and Neutrosophic Fields / 160
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Florentin Smarandache (author and editor) Collected Papers, XII

Said Broumi, Florentin Smarandache
Cosine Similarity Measure of Interval Valued Neutrosophic Sets / 166
A.A. Salama, Florentin Smarandache
Neutrosophic Crisp Set Theory / 172
A.A. Salama, Florentin Smarandache, Mohamed Eisa
Introduction to Image Processing via Neutrosophic Techniques / 181
Anjan Mukherjee, Mithun Datta, Florentin Smarandache
Interval Valued Neutrosophic Soft Topological Spaces / 187
Mumtaz Ali, Florentin Smarandache, Luige Vlădăreanu, Muhammad Shabir
Generalization of Soft Neutrosophic Rings and Soft Neutrosophic
Fields / 197
Said Broumi, Florentin Smarandache
Neutrosophic Refined Similarity Measure Based on Cosine
Function / 204
Mumtaz Ali, Florentin Smarandache, Muhammad Shabir
Soft Neutrosophic Groupoids and Their Generalization / 211
Said Broumi, Florentin Smarandache
Interval Neutrosophic Rough Set / 231
Mumtaz Ali, Florentin Smarandache, Said Broumi, Muhammad Shabir
A New Approach to Multi-spaces Through the Application of Soft Sets / 240
Said Broumi, Florentin Smarandache
Soft Interval-Valued Neutrosophic Rough Sets / 246
Said Broumi, Florentin Smarandache
An Extended TOPSIS Method for Multiple Attribute Decision Making
based on Interval Neutrosophic Uncertain Linguistic Variables / 258
Florentin Smarandache
Thesis-Antithesis-Neutrothesis, and Neutrosynthesis / 268
Florentin Smarandache
Refined Literal Indeterminacy and the Multiplication Law
of Sub-Indeterminacies / 270
Ibrahim M. Hezam, Mohamed Abdel-Baset, Florentin Smarandache
Taylor Series Approximation to Solve Neutrosophic Multiobjective Programming
Problem / 276
Florentin Smarandache
Neutrosophic Quadruple Numbers, Refined Neutrosophic Quadruple
Numbers, Absorbance Law, and the Multiplication of Neutrosophic
Quadruple Numbers / 283

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Florentin Smarandache (author and editor) Collected Papers, XII

Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache
Isolated Single Valued Neutrosophic Graphs / 286
Florentin Smarandache
Degree of Dependence and Independence of the (Sub)Components of Fuzzy Set and
Neutrosophic Set / 290
Florentin Smarandache
Degrees of Membership > 1 and < 0 of the Elements with Respect to a Neutrosophic
OffSet / 293
Huda E. Khalid, Florentin Smarandache, Ahmed K. Essa
A Neutrosophic Binomial Factorial Theorem with their Refrains / 299
Mai Mohamed, Mohamed Abdel-Basset, Abdel Nasser H. Zaied, Florentin Smarandache
Neutrosophic Integer Programming Problem / 304
Florentin Smarandache
Neutrosophic Modal Logic / 309
S. Broumi, A. Dey, A. Bakali, M. Talea, F. Smarandache, L. H. Son, D. Koley
Uniform Single Valued Neutrosophic Graphs / 316
Sabu Sebastian, Florentin Smarandache
Extension of Crisp Functions on Neutrosophic Sets / 324
Said Broumi, Le Hoang Son, Assia Bakali, Mohamed Talea, Florentin Smarandache, Ganeshsree Selvachandran
Computing Operational Matrices in Neutrosophic Envioraments: A MATLAB
Toolbox / 329
Huda E. Khalid, Florentin Smarandache, Ahmed K. Essa
The Basic Notions for (over, off, under) Neutrosophic Geometric Programming
Problems / 338
Said Broumi, Mohamed Talea, Assia Bakali, Prem Kumar Singh, Florentin Smarandache
Energy and Spectrum Analysis of Interval Valued Neutrosophic Graph using
MATLAB / 351
Rodolfo González Ortega, Marcos David Oviedo Rodríguez, Maikel Leyva Vázquez, Jesús Estupiñán Ricardo,
João Alcione Sganderla Figueiredo, Florentin Smarandache
Pestel analysis based on neutrosophic cognitive maps and neutrosophic numbers for the
sinos river basin management / 366
J. Kavikumar, D. Nagarajan, Said Broumi, F. Smarandache, M. Lathamaheswari, Nur Ain Ebas
Neutrosophic General Finite Automata / 375
S. Broumi, D. Nagarajan, A. Bakali, M. Talea, F. Smarandache, M. Lathamaheswari, J. Kavikumar
Implementation of Neutrosophic Function Memberships Using MATLAB
Program / 395

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