Table Of Content

Florentin marandache (author and editor) ollected apers (on Neutrosophics and other topics) lobal nowledge 2022 Florentin Smarandache (author and editor) Collected Papers (on Neutrosophics and other topics) Volume XIV Peer-Reviewers: Victor Christianto Malang Institute of Agriculture (IPM), Malang, INDONESIA [email protected] Mumtaz Ali Department of Mathematics, Quaid-i-Azam University, Islamabad, PAKISTAN [email protected] Bui Cong Cuong Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet, Hanoi, SR VIETNAM [email protected] Daniela Gîfu Institute of Computer Science, Romanian Academy, Iași Branch, Iași, ROMANIA [email protected] Surapati Pramanik Department of Mathematics, Nandalal Ghosh B.T. College, Panpur, Bhatpara, West Bengal, INDIA [email protected] Dragiša Stanujkić Faculty of Management in Zajecar, John Naisbitt University, Belgrade, SERBIA dragis [email protected] Edmundas Kazimieras Zavadskas Civil Engineering Faculty, Vilnius Gediminas Technical University, Vilnius, LITHUANIA [email protected] Florentin Smarandache (author and editor) Collected Papers (on Neutrosophics and other topics) Volume XIV 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 978-1-59973-744-7 Florentin Smarandache (author and editor) Collected Papers, XIV Introductory Note This fourteenth volume of Collected Papers is an eclectic tome of 87 papers in Neutrosophics and other fields, such as mathematics, fuzzy sets, intuitionistic fuzzy sets, picture fuzzy sets, information fusion, robotics, statistics, or extenics, comprising 930 pages, published between 2008-2022 in different scientific journals or currently in press, by the author alone or in collaboration with the following 99 co-authors (alphabetically ordered) from 26 countries: Ahmed B. Al-Nafee, Adesina Abdul Akeem Agboola, Akbar Rezaei, Shariful Alam, Marina Alonso, Fran Andujar, Toshinori Asai, Assia Bakali, Azmat Hussain, Daniela Baran, Bijan Davvaz, Bilal Hadjadji, Carlos Díaz Bohorquez, Robert N. Boyd, M. Caldas, Cenap Özel, Pankaj Chauhan, Victor Christianto, Salvador Coll, Shyamal Dalapati, Irfan Deli, Balasubramanian Elavarasan, Fahad Alsharari, Yonfei Feng, Daniela Gîfu, Rafael Rojas Gualdrón, Haipeng Wang, Hemant Kumar Gianey, Noel Batista Hernández, Abdel-Nasser Hussein, Ibrahim M. Hezam, Ilanthenral Kandasamy, W.B. Vasantha Kandasamy, Muthusamy Karthika, Nour Eldeen M. Khalifa, Madad Khan, Kifayat Ullah, Valeri Kroumov, Tapan Kumar Roy, Deepesh Kunwar, Le Thi Nhung, Pedro López, Mai Mohamed, Manh Van Vu, Miguel A. Quiroz-Martínez, Marcel Migdalovici, Kritika Mishra, Mohamed Abdel-Basset, Mohamed Talea, Mohammad Hamidi, Mohammed Alshumrani, Mohamed Loey, Muhammad Akram, Muhammad Shabir, Mumtaz Ali, Nassim Abbas, Munazza Naz, Ngan Thi Roan, Nguyen Xuan Thao, Rishwanth Mani Parimala, Ion Pătrașcu, Surapati Pramanik, Quek Shio Gai, Qiang Guo, Rajab Ali Borzooei, Nimitha Rajesh, Jesús Estupiñan Ricardo, Juan Miguel Martínez Rubio, Saeed Mirvakili, Arsham Borumand Saeid, Saeid Jafari, Said Broumi, Ahmed A. Salama, Nirmala Sawan, Gheorghe Săvoiu, Ganeshsree Selvachandran, Seok- Zun Song, Shahzaib Ashraf, Jayant Singh, Rajesh Singh, Son Hoang Le, Tahir Mahmood, Kenta Takaya, Mirela Teodorescu, Ramalingam Udhayakumar, Maikel Y. Leyva Vázquez, V. Venkateswara Rao, Luige Vlădăreanu, Victor Vlădăreanu, Gabriela Vlădeanu, Michael Voskoglou, Yaser Saber, Yong Deng, You He, Youcef Chibani, Young Bae Jun, Wadei F. Al-O meri, Hongbo Wang, Zayen Azzouz Omar. Keywords Neutrosophy; Neutrosophic Logic; Neutrosophic Sets; Neutrosophic Probability; Decision Making; Extenics; Plithogeny; Plithogenic Set; Plithogenic Logic; Plithogenic Probability; Plithogenic Statistics; COVID-19; Dezert- Smarandache Theory; Single Valued Neutrosophic Set; Interval Neutrosophic Sets; Set-Theoretic Operator; Neutrosophic-Tendential Fuzzy Logic; Neutrosophic Index; Index Statistical Method; Price Index; Interpreter Index; Neutrosophic Interpreter Index; Neutrosophic Soft Expert Set; Neutrosophic Soft Expert Images; Neutrosophic Soft Expert Inverse Images; Mapping On Neutrosophic Soft Expert Set; Single Valued Neutrosophic Graph; Strong Single Valued Neutrosophic Graph; Constant Single Valued Neutrosophic Graph; Complete Single Valued Neutrosophic Graph; Dijkstra Algorithm; Interval Valued Neutrosophic Number; Shortest Path Problem; Network; Triangular Fuzzy Neutrosophic Sets; Score Function; Bipolar Neutrosophic Graph; Generalized Bipolar Neutrosophic Graphs; Matrix Representation; Adjacency Matrix; Neutrosophic Optimization; Goal Programming Problem; Project Management; Score And Accuracy Functions; Generalized Neutrosophic Set; Generalized Neutrosophic Subalgebra; Generalized Neutrosophic Ideal; Spanning Tree Problem; Entropy Measure; Intuitionistic Fuzzy Set; Inconsistent Intuitionistic Fuzzy Set; Picture Fuzzy Set; Ternary Fuzzy Set; Pythagorean Fuzzy Set; Atanassov’s Intuitionistic Fuzzy Set of second type; Spherical Fuzzy Set; n-HyperSpherical Neutrosophic Set; q-Rung Orthopair Fuzzy Set; truth- membership; indeterminacy-membership; falsehood-nonmembership; Regret Theory; Grey System Theory; Three- Ways Decision; n-Ways Decision; Neutrosophication; Refined Neutrosophy; Refined Neutrosophication; Sentiment Analysis; Speech Analysis; Clustering Algorithm; K-means; Hierarchical Agglomerative Clustering; Neutrosophic Minimal Structure. 5 Florentin Smarandache (author and editor) Collected Papers, XIV 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 ]. 6 Florentin Smarandache (author and editor) Collected Papers, XIV Contents NEUTROSOPHICS Haibin Wang, Florentin Smarandache, Yanqing Zhang, Rajshekhar Sunderraman Single Valued Neutrosophic Sets / 32 Florentin Smarandache Neutrosophic Transdisciplinarity - Multi-Space & Multi-Structure / 37 Florentin Smarandache, Daniela Gîfu, Mirela Teodorescu Neutrosophic elements in discourse / 40 Said Broumi, Irfan Deli, Florentin Smarandache N-Valued Interval Neutrosophic Sets and Their Application in Medical Diagnosis / 48 Florentin Smarandache, Gheorghe Săvoiu Neutrosophic Index Numbers: Neutrosophic Logic Applied in The Statistical Indicators Theory / 73 Said Broumi, Ali Mumtaz, Florentin Smarandache Mappings on Neutrosophic Soft Expert Sets / 107 Said Broumi, Mohamed Talea, Assia Bakali, Florentin Smarandache Single Valued Neutrosophic Graphs / 124 Said Broumi, Mohamed Talea, Assia Bakali, Florentin Smarandache Application of Dijkstra Algorithm for Solving Interval Valued Neutrosophic Shortest Path Problem / 140 Said Broumi, Mohamed Talea, Assia Bakali, Florentin Smarandache, Luige Vladareanu Shortest Path Problem Under Triangular Fuzzy Neutrosophic Information / 146 Said Broumi, Mohamed Talea, Assia Bakali, Florentin Smarandache Generalized Bipolar Neutrosophic Graphs of Type 1 / 152 Florentin Smarandache Introducing a Theory of Neutrosophic Evolution: Degrees of Evolution, Indeterminacy, and Involution / 159 Ibrahim M. Hezam, Mohamed Abdel-Baset, Florentin Smarandache Neutrosophic Goal Programming / 165 Mai Mohamed, Mohamed Abdel-Baset, Florentin Smarandache, Yongquan Zhou A Critical Path Problem in Neutrosophic Environment / 179 Wadei Al-Omeri, Florentin Smarandache New Neutrosophic Sets via Neutrosophic Topological Spaces / 187 7 Florentin Smarandache (author and editor) Collected Papers, XIV Mai Mohamed, Mohamed Abdel-Baset, Abdel-Nasser Hussein, Florentin Smarandache Neutrosophic linear fractional programming problem / 208 Said Broumi, Florentin Smarandache, Mumtaz Ali, Assia Bakali, Mohamed Talea, Ganeshsree Selvachandran Complex Neutrosophic Soft Set / 227 Seok-Zun Song, Madad Khan, Florentin Smarandache, Young Bae Jun Interval neutrosophic sets applied to ideals in BCK/BCI-algebras / 233 Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache, V. Venkateswara Rao Bipolar Complex Neutrosophic Graphs of Type 1 / 244 Seok-Zun Song, Madad Khan, Florentin Smarandache, Young Bae Jun A Novel Extension of Neutrosophic Sets and Its Application in BCK/BCI-Algebras / 264 Said Broumi, Mohamed Talea, Assia Bakali, Florentin Smarandache, Kifayat Ullah Bipolar Neutrosophic Minimum Spanning Tree / 283 Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache, V. Venkateswara Rao Interval Complex Neutrosophic Graph of Type 1 / 289 Surapati Pramanik, Shyamal Dalapati, Shariful Alam, Florentin Smarandache, Tapan Kumar Roy NC-Cross Entropy Based MADM Strategy in Neutrosophic Cubic Set Environment / 309 M.Caldas, Saeid Jafari, Nimitha Rajesh, Florentin Smarandache On I-open sets and I-continuous functions in ideal Bitopological spaces / 338 Balasubramanian Elavarasan, Florentin Smarandache, Young Bae Jun Neutrosophic ℵ-ideals in semigroups / 350 M.Karthika, M. Parimala, Saeid Jafari, Florentin Smarandache, Mohammed Alshumrani, Cenap Ozel, R. Udhayakumar Neutrosophic complex αψ connectedness in neutrosophic complex topological spaces / 358 Said Broumi, Mohamed Talea, Assia Bakali, Florentin Smarandache, Quek Shio Gai, Ganeshsree Selvachandran Introduction of some new results on interval-valued neutrosophic graphs / 365 Florentin Smarandache Neutrosophic Set is a Generalization of Intuitionistic Fuzzy Set, Inconsistent Intuitionistic Fuzzy Set (Picture Fuzzy Set, Ternary Fuzzy Set), Pythagorean Fuzzy Set (Atanassov’s Intuitionistic Fuzzy Set of second type), q-Rung Orthopair Fuzzy Set, Spherical Fuzzy Set, and n-HyperSpherical Fuzzy Set, while Neutrosophication is a Generalization of Regret Theory, Grey System Theory, and Three-Ways Decision (revisited) / 388 Rafael Rojas-Gualdrón, Florentín Smarandache, Carlos Díaz-Bohorquez Aplicación de la teoría neutrosófica para el tratamiento de la incertidumbre en la gestión del riesgo en la cadena de suministro. Application of the Neutrosophical Theory to Deal with Uncertainty in Supply Chain Risk Management / 438 8 Florentin Smarandache (author and editor) Collected Papers, XIV Mohammad Hamidi, Arsham Borumand Saeid, Florentin Smarandache On Neutrosophic Refined EQ-Filters / 457 Mohammad Hamidi,Florentin Smarandache Single-valued neutrosophic directed (Hyper)graphs and applications in networks / 473 Kritika Mishra, Ilanthenral Kandasamy, W. B. Vasantha Kandasamy, Florentin Smarandache A Novel Framework Using Neutrosophy for Integrated Speech and Text Sentiment Analysis / 490 Wadei F. Al-Omeri, Saeid Jafari, Florentin Smarandache (Φ,Ψ)-Weak Contractions in Neutrosophic Cone Metric Spaces via Fixed Point Theorems / 511 Muthusamy Karthika, Rishwanth M. Parimala, Florentin Smarandache An Introduction to Neutrosophic Minimal Structure Spaces / 519 Rishwanth Mani Parimala, Cenap Özel, Florentin Smarandache, Muthusamy Karthika A New Type of Quasi Open Functions in Neutrosophic Topological Environment / 530 Florentin Smarandache, Miguel A. Quiroz-Martínez, Jesús Estupiñan Ricardo, Noel Batista Hernández, Maikel Y.Leyva Vázquez Application of Neutrosophic Offsets for Digital Image Processing / 540 Florentin Smarandache, Akbar Rezaei, Adesina Abdul Akeem Agboola, Young Bae Jun, Rajab Ali Borzooei, Bijan Davvaz, Arsham Borumand Saeid, Mohammad Akram, Mohammad Hamidi, Saeed Mirvakili On Neutro Quadruple Groups / 549 Ahmed B. Al-Nafee, Florentin Smarandache, A. A. Salama New Types of Neutrosophic Crisp Closed Sets / 557 Yaser Saber, Fahad Alsharari, Florentin Smarandache An introduction to single-valued neutrosophic soft topological structure / 566 Michael Voskoglou, Said Broumi, Florentin Smarandache A Combined Use of Soft and Neutrosophic Sets for Student Assessment with Qualitative Grades / 582 Florentin Smarandache Improved Definition of NonStandard Neutrosophic Logic and Introduction to Neutrosophic Hyperreals (Fifth version) / 588 Florentin Smarandache Neutrosofia, generalizare a Dialecticii. Noțiuni fundamentale / 608 Florentin Smarandache Circuite și fluxuri neutrosofice / 623 Florentin Smarandache Există o neutralitate în fiecare neutralitate / 629 Florentin Smarandache Filosofia este neutrosofică sau nu este deloc / 635 9