Single Valued 2n 1 Sided Polygonal Neutrosophic Numbers And Single Valued 2n Sided Polygonal Neutrosophic Numbers

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SINGLE VALUED (2N+1) SIDED POLYGONAL NEUTROSOPHIC NUMBERS AND SINGLE VALUED (2N) SIDED POLYGONAL NEUTROSOPHIC NUMBERS

Author : Said Broumi,Mullai Murugappan,Mohamed Talea,Assia Bakali,Florentin Smarandache,Prem Kumar Singh,Arindam Dey
Publisher : Infinite Study
Page : 12 pages
File Size : 47,7 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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SINGLE VALUED (2N+1) SIDED POLYGONAL NEUTROSOPHIC NUMBERS AND SINGLE VALUED (2N) SIDED POLYGONAL NEUTROSOPHIC NUMBERS by Said Broumi,Mullai Murugappan,Mohamed Talea,Assia Bakali,Florentin Smarandache,Prem Kumar Singh,Arindam Dey Pdf

This paper introduces a single valued (2n as well as 2n+1) sided polygonal neutrosophic numbers in continuation with other defined single valued neutrosophic numbers. The paper provides basic algebra like addition, subtraction and multiplication of a single valued (2n as well as 2n+1) sided polygonal neutrosophic numbers with examples. In addition, the paper introduces matrix for single valued (2n as well as 2n+1) sided polygonal neutrosophic matrix and its properties.

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 25 / 2019

Author : Florentin Smarandache,Mohamed Abdel-Basset
Publisher : Infinite Study
Page : 200 pages
File Size : 41,8 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 9781599735993

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Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 25 / 2019 by Florentin Smarandache,Mohamed Abdel-Basset Pdf

“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.

Collected Papers. Volume VIII

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 1002 pages
File Size : 54,6 Mb
Release : 2022-04-01
Category : Mathematics
ISBN : 8210379456XXX

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Collected Papers. Volume VIII by Florentin Smarandache Pdf

This eighth volume of Collected Papers includes 75 papers comprising 973 pages on (theoretic and applied) neutrosophics, written between 2010-2022 by the author alone or in collaboration with the following 102 co-authors (alphabetically ordered) from 24 countries: Mohamed Abdel-Basset, Abduallah Gamal, Firoz Ahmad, Ahmad Yusuf Adhami, Ahmed B. Al-Nafee, Ali Hassan, Mumtaz Ali, Akbar Rezaei, Assia Bakali, Ayoub Bahnasse, Azeddine Elhassouny, Durga Banerjee, Romualdas Bausys, Mircea Boșcoianu, Traian Alexandru Buda, Bui Cong Cuong, Emilia Calefariu, Ahmet Çevik, Chang Su Kim, Victor Christianto, Dae Wan Kim, Daud Ahmad, Arindam Dey, Partha Pratim Dey, Mamouni Dhar, H. A. Elagamy, Ahmed K. Essa, Sudipta Gayen, Bibhas C. Giri, Daniela Gîfu, Noel Batista Hernández, Hojjatollah Farahani, Huda E. Khalid, Irfan Deli, Saeid Jafari, Tèmítópé Gbóláhàn Jaíyéolá, Sripati Jha, Sudan Jha, Ilanthenral Kandasamy, W.B. Vasantha Kandasamy, Darjan Karabašević, M. Karthika, Kawther F. Alhasan, Giruta Kazakeviciute-Januskeviciene, Qaisar Khan, Kishore Kumar P K, Prem Kumar Singh, Ranjan Kumar, Maikel Leyva-Vázquez, Mahmoud Ismail, Tahir Mahmood, Hafsa Masood Malik, Mohammad Abobala, Mai Mohamed, Gunasekaran Manogaran, Seema Mehra, Kalyan Mondal, Mohamed Talea, Mullai Murugappan, Muhammad Akram, Muhammad Aslam Malik, Muhammad Khalid Mahmood, Nivetha Martin, Durga Nagarajan, Nguyen Van Dinh, Nguyen Xuan Thao, Lewis Nkenyereya, Jagan M. Obbineni, M. Parimala, S. K. Patro, Peide Liu, Pham Hong Phong, Surapati Pramanik, Gyanendra Prasad Joshi, Quek Shio Gai, R. Radha, A.A. Salama, S. Satham Hussain, Mehmet Șahin, Said Broumi, Ganeshsree Selvachandran, Selvaraj Ganesan, Shahbaz Ali, Shouzhen Zeng, Manjeet Singh, A. Stanis Arul Mary, Dragiša Stanujkić, Yusuf Șubaș, Rui-Pu Tan, Mirela Teodorescu, Selçuk Topal, Zenonas Turskis, Vakkas Uluçay, Norberto Valcárcel Izquierdo, V. Venkateswara Rao, Volkan Duran, Ying Li, Young Bae Jun, Wadei F. Al-Omeri, Jian-qiang Wang, Lihshing Leigh Wang, Edmundas Kazimieras Zavadskas.

Neutrosophic Sets and Systems, vol. 51/2022

Author : Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi
Publisher : Infinite Study
Page : 970 pages
File Size : 40,9 Mb
Release : 2022-09-01
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, vol. 51/2022 by Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi Pdf

“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this theory every idea tends to be neutralized and balanced by and ideas - as a state of equilibrium. In a classical way , , are disjoint two by two. But, since in many cases the borders between notions are vague, imprecise, Sorites, it is possible that , , (and of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic).

Some properties of Pentagonal Neutrosophic Numbers and its Applications in Transportation Problem Environment

Author : Avishek Chakraborty,Said Broumi,Prem Kumar Singh
Publisher : Infinite Study
Page : 16 pages
File Size : 44,7 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Some properties of Pentagonal Neutrosophic Numbers and its Applications in Transportation Problem Environment by Avishek Chakraborty,Said Broumi,Prem Kumar Singh Pdf

In this research article we actually deals with the conception of pentagonal Neutrosophic number from a different frame of reference. Recently, neutrosophic set theory and its extensive properties have given different dimensions for researchers. This paper focuses on pentagonal neutrosophic numbers and its distinct properties. At the same time, we defined the disjunctive cases of this number whenever the truthiness, falsity and hesitation portion are dependent and independent to each other. Some basic properties of pentagonal neutrosophic numbers with its logical score and accuracy function is introduced in this paper with its application in real life operation research problem which is more reliable than the other methods.

Neutrosophic Sets and Systems, Vol. 28, 2019

Author : Florentin Smarandache, Mohamed Abdel-Basset
Publisher : Infinite Study
Page : 304 pages
File Size : 41,9 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, Vol. 28, 2019 by Florentin Smarandache, Mohamed Abdel-Basset Pdf

“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Some articles from this issue: Reduction of indeterminacy of gray-scale image in bipolar neutrosophic domain, Single Valued Neutrosophic Coloring, An Integrated Neutrosophic and MOORA for Selecting Machine Tool, Plithogenic Fuzzy Whole Hypersoft Set, Construction of Operators and their Application in Frequency Matrix Multi Attribute Decision Making Technique, Pi-Distance of Rough Neutrosophic Sets for Medical Diagnosis, Machine learning in Neutrosophic Environment: A Survey.

Neutrosophic Sets and Systems, Book Series, Vol. 28, 2019

Author : Florentin Smarandache ,Mohamed Abdel-Basset
Publisher : Infinite Study
Page : 302 pages
File Size : 40,5 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, Book Series, Vol. 28, 2019 by Florentin Smarandache ,Mohamed Abdel-Basset Pdf

“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc

Neutrosophic Operational Research

Author : Florentin Smarandache,Mohamed Abdel-Basset
Publisher : Springer Nature
Page : 628 pages
File Size : 43,5 Mb
Release : 2021-09-09
Category : Business & Economics
ISBN : 9783030571979

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Neutrosophic Operational Research by Florentin Smarandache,Mohamed Abdel-Basset Pdf

This book addresses new concepts, methods, algorithms, modeling, and applications of green supply chain, inventory control problems, assignment problems, transportation problem, linear problems and new information related to optimization for the topic from the theoretical and applied viewpoints of neutrosophic sets and logic. The book is an innovatory of new tools and procedures, such as: Neutrosophic Statistical Tests and Dependent State Samplings, Neutrosophic Probabilistic Expert Systems, Neutrosophic HyperSoft Set, Quadripartitioned Neutrosophic Cross-Entropy, Octagonal and Spherical and Cubic Neutrosophic Numbers used in machine learning. It highlights the process of neutrosofication {which means to split the universe into three parts, two opposite ones (Truth and Falsehood), and an Indeterminate or neutral one (I) in between them}. It explains Three-Ways Decision, how the universe set is split into three different distinct areas, in regard to the decision process, representing: Acceptance, Noncommitment, and Rejection, respectively. The Three-Way Decision is used in the Neutrosophic Linguistic Rough Set, which has never been done before.

International Journal of Neutrosophic Science (IJNS) Volume 5, 2020

Author : Broumi Said,Florentin Smarandache
Publisher : Infinite Study
Page : 106 pages
File Size : 52,7 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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International Journal of Neutrosophic Science (IJNS) Volume 5, 2020 by Broumi Said,Florentin Smarandache Pdf

International Journal of Neutrosophic Science (IJNS) is a peer-review journal publishing high quality experimental and theoretical research in all areas of Neutrosophic and its Applications. IJNS is published quarterly. IJNS is devoted to the publication of peer-reviewed original research papers lying in the domain of neutrosophic sets and systems. Papers submitted for possible publication may concern with foundations, neutrosophic logic and mathematical structures in the neutrosophic setting. Besides providing emphasis on topics like artificial intelligence, pattern recognition, image processing, robotics, decision making, data analysis, data mining, applications of neutrosophic mathematical theories contributing to economics, finance, management, industries, electronics, and communications are promoted.

Different Forms of Triangular Neutrosophic Numbers, De-Neutrosophication Techniques, and their Applications

Author : Avishek Chakraborty,Sankar Prasad Mondal,Ali Ahmadian,Norazak Senu,Shariful Alam,Soheil Salahshour
Publisher : Infinite Study
Page : 27 pages
File Size : 53,6 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Different Forms of Triangular Neutrosophic Numbers, De-Neutrosophication Techniques, and their Applications by Avishek Chakraborty,Sankar Prasad Mondal,Ali Ahmadian,Norazak Senu,Shariful Alam,Soheil Salahshour Pdf

In this paper, we introduce the concept of neutrosophic number from different viewpoints. We define different types of linear and non-linear generalized triangular neutrosophic numbers which are very important for uncertainty theory. We introduced the de-neutrosophication concept for neutrosophic number for triangular neutrosophic numbers. This concept helps us to convert a neutrosophic number into a crisp number. The concepts are followed by two application, namely in imprecise project evaluation review technique and route selection problem.

Generalized Single Valued Triangular Neutrosophic Numbers and Aggregation Operators for Application to Multi-attribute Group Decision Making

Author : Mehmet Şahin,Abdullah Kargın,Florentin Smarandache
Publisher : Infinite Study
Page : 34 pages
File Size : 40,9 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 8210379456XXX

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Generalized Single Valued Triangular Neutrosophic Numbers and Aggregation Operators for Application to Multi-attribute Group Decision Making by Mehmet Şahin,Abdullah Kargın,Florentin Smarandache Pdf

In this study we define the generalizing single valued triangular neutrosophic number. In addition, single valued neutrosophic numbers are transformed into single valued triangular neutrosophic numbers according to the values of truth, indeterminacy and falsity. Furthermore, we extended the Hamming distance given for triangular intuitionistic fuzzy numbers to single valued triangular neutrosophic numbers. We have defined new score functions based on the Hamming distance.

Operators on Single Valued Trapezoidal Neutrosophic Numbers and SVTN-Group Decision Making

Author : Irfan Deli
Publisher : Infinite Study
Page : 20 pages
File Size : 49,5 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Operators on Single Valued Trapezoidal Neutrosophic Numbers and SVTN-Group Decision Making by Irfan Deli Pdf

In this paper, we first introduce single valued trapezoidal neutrosophic (SVTN) numbers with their properties. We then define some operations and distances of the SVTN-numbers. Based on these new operations, we also define some aggregation operators, including SVTN-ordered weighted geometric operator, SVTN-hybrid geometric operator, SVTN-ordered weighted arithmetic operator and SVTN-hybrid arithmetic operator. We then examine the properties of these SVTN-information aggregation operators. By using the SVTN-weighted geometric operator and SVTN-hybrid geometric operator, we also define a multi attribute group decision making method, called SVTN-group decision making method. We finally give an illustrative example and comparative analysis to verify the developed method and to demonstrate its practicality and effectiveness.

Neutrosophic Sets: An Overview

Author : Said Broumi,Assia Bakali ,Mohamed Talea,Florentin Smarandache, Vakkas Uluçay,Mehmet Sahin,Arindam Dey,Mamouni Dhar,Rui-Pu Tan,Ayoub Bahnasse,Surapati Pramanik
Publisher : Infinite Study
Page : 32 pages
File Size : 51,5 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 8210379456XXX

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Neutrosophic Sets: An Overview by Said Broumi,Assia Bakali ,Mohamed Talea,Florentin Smarandache, Vakkas Uluçay,Mehmet Sahin,Arindam Dey,Mamouni Dhar,Rui-Pu Tan,Ayoub Bahnasse,Surapati Pramanik Pdf

In this study, we give some concepts concerning the neutrosophic sets, single valued neutrosophic sets, interval-valued neutrosophic sets, bipolar neutrosophic sets, neutrosophic hesitant fuzzy sets, inter-valued neutrosophic hesitant fuzzy sets, refined neutrosophic sets, bipolar neutrosophic refined sets, multi-valued neutrosophic sets, simplified neutrosophic linguistic sets, neutrosophic over/off/under sets, rough neutrosophic sets, rough bipolar neutrosophic sets, rough neutrosophic hyper-complex set, and their basic operations. Then we introduce triangular neutrosophic numbers, trapezoidal neutrosophic fuzzy number and their basic operations. Also some comparative studies between the existing neutrosophic sets and neutrosophic number are provided.

Subtraction and Division of Neutrosophic Numbers

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 8 pages
File Size : 47,5 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 8210379456XXX

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Subtraction and Division of Neutrosophic Numbers by Florentin Smarandache Pdf

In this paper, we define the subtraction and the division of neutrosophic single-valued numbers. The restrictions for these operations are presented for neutrosophic singlevalued numbers and neutrosophic single-valued overnumbers / undernumbers / offnumbers. Afterwards, several numeral examples are presented.

SINGLE VALUED NEUTROSOPHIC NUMBER VALUED GENERALIZED NEUTROSOPHIC TRIPLET GROUPS AND ITS APPLICATIONS FOR DECISION MAKING APPLICATIONS

Author : ORHAN ECEMIŞ,MEMET ŞAHIN,ABDULLAH KARGIN
Publisher : Infinite Study
Page : 14 pages
File Size : 53,8 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 8210379456XXX

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SINGLE VALUED NEUTROSOPHIC NUMBER VALUED GENERALIZED NEUTROSOPHIC TRIPLET GROUPS AND ITS APPLICATIONS FOR DECISION MAKING APPLICATIONS by ORHAN ECEMIŞ,MEMET ŞAHIN,ABDULLAH KARGIN Pdf

This work was carried out in collaboration between all authors. Author OE designed the study, performed the statistical analysis, wrote the protocol and wrote the first draft of the manuscript. Authors MS and AK managed the analyses of the study. Author AK managed the literature searches. All authors read and approved the final manuscript.