Collected Papers (on various scientific topics), Volume XIII

Florentin “\marandache (author and editor) ollected apers (on Neutrosophics Theory and Applications) Volume XII Cnm 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 jafaripersia@gmail.com Ali Hussein Mahmood Al-Obaidi College of Education for Pure Science, University of Babylon, Hillah, IRAQ aalobaidi@uobabylon.edu.iq S. Satham Hussain Jamal Mohamed College, Trichy, Tamil Nadu, INDIA sathamhussain5592@gmail.com Le Hoang Son Vietnam National University, Hanoi, SR VIETNAM sonlh@vnu.edu.vn Erick Gonzalez-Caballero Technological University of Havana, Havana, CUBA erickgc@yan-dex.com Muhammad Akram University of the Punjab, Lahore, PAKISTAN m.akram@pucit.edu.pk 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 info@egk.ccgecon.us ADSUMUS Scientific and Cultural Society 13, Dimitrie Cantemir St. 410473 Oradea City, Romania https://adsumus.wordpress.com/ ad.sumus@protonmail.com NSIA Publishing House Neutrosphic Science International Association https://www.publishing-nsia.com/ University of New Mexico, Gallup, United States Universidad Regional Autonoma de los Andes (UNIANDES), Babahoyo, Los Rios, Ecuador Publishing: Prof. Dan Florin Lazar lazar.danflorin@yahoo.com Prof. Dr. Maykel Yelandi Leyva Vazquez ub.c.investigacion@uniandes.edu.ec 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, Joao 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 Kargin, 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 AbdelBasset, Mohamed Talea, K. Mohana, Muhammad Irfan Ahamad, Rana Muhammad Zulqarnain, Muhammad Riaz, Muhammad Saeed, Muhammad Saglain, 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 Sahin, 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 Vládáreanu, Stefan Vládutescu, 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