Hausdorff Distance And Similarity Measures For Single Valued Neutrosophic Sets With Application In Multi Criteria Decision Making

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Hausdorff Distance and Similarity Measures for Single-Valued Neutrosophic Sets with Application in Multi-Criteria Decision Making

Author : Mehboob Ali
Publisher : Infinite Study
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4./5 ( download)

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Book Synopsis Hausdorff Distance and Similarity Measures for Single-Valued Neutrosophic Sets with Application in Multi-Criteria Decision Making by : Mehboob Ali

Download or read book Hausdorff Distance and Similarity Measures for Single-Valued Neutrosophic Sets with Application in Multi-Criteria Decision Making written by Mehboob Ali and published by Infinite Study. This book was released on 2022-01-01 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hausdorff distance is one of the important distance measures to study the degree of dissimilarity between two sets that had been used in various fields under fuzzy environments. Among those, the framework of single-valued neutrosophic sets (SVNSs) is the one that has more potential to explain uncertain, inconsistent and indeterminate information in a comprehensive way. And so, Hausdorff distance for SVNSs is important. Thus, we propose two novel schemes to calculate the Hausdorff distance and its corresponding similarity measures (SMs) for SVNSs. In doing so, we firstly develop the two forms of Hausdorff distance between SVNSs based on the definition of Hausdorff metric between two sets. We then use these new distance measures to construct several SMs for SVNSs. Some mathematical theorems regarding the proposed Hausdorff distances for SVNSs are also proven to strengthen its theoretical properties. In order to show the exact calculation behavior and distance measurement mechanism of our proposed methods in accordance with the decorum of Hausdorff metric, we utilize an intuitive numerical example that demonstrate the novelty and practicality of our proposed measures. Furthermore, we develop a multi-criteria decision making (MCDM) method under single-valued neutrosophic environment using the proposed SMs based on our defined Hausdorff distance measures, called as a single-valued neutrosophic MCDM (SVN-MCDM) method. In this connection, we employ our proposed SMs to compute the degree of similarity of each option with the ideal choice to identify the best alternative as well as to perform an overall ranking of the alternatives under study. We then apply our proposed SVN-MCDM scheme to solve two real world problems of MCDM under single-valued neutrosophic environment to show its effectiveness and application.

MULTI-CRITERIA DECISION MAKING METHOD BASED ON SIMILARITY MEASURES UNDER SINGLE VALUED NEUTROSOPHIC REFINED AND INTERVAL NEUTROSOPHIC REFINED ENVIRONMENTS

Download MULTI-CRITERIA DECISION MAKING METHOD BASED ON SIMILARITY MEASURES UNDER SINGLE VALUED NEUTROSOPHIC REFINED AND INTERVAL NEUTROSOPHIC REFINED ENVIRONMENTS PDF Online Free

Author : FARUK KARAASLAN
Publisher : Infinite Study
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4./5 ( download)

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Book Synopsis MULTI-CRITERIA DECISION MAKING METHOD BASED ON SIMILARITY MEASURES UNDER SINGLE VALUED NEUTROSOPHIC REFINED AND INTERVAL NEUTROSOPHIC REFINED ENVIRONMENTS by : FARUK KARAASLAN

Download or read book MULTI-CRITERIA DECISION MAKING METHOD BASED ON SIMILARITY MEASURES UNDER SINGLE VALUED NEUTROSOPHIC REFINED AND INTERVAL NEUTROSOPHIC REFINED ENVIRONMENTS written by FARUK KARAASLAN and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we propose three similarity measure methods for single valued neutrosophic reﬁned sets and interval neutrosophic reﬁned sets based on Jaccard, Dice and Cosine similarity measures of single valued neutrosophic sets and interval neutrosophic sets.

Hybrid vector similarity measure of single valued refined neutrosophic sets to multi-attribute decision making problems

Author : Surapati Pramanik
Publisher : Infinite Study
ISBN 13 :
Total Pages : 19 pages
Book Rating : 4./5 ( download)

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Book Synopsis Hybrid vector similarity measure of single valued refined neutrosophic sets to multi-attribute decision making problems by : Surapati Pramanik

Download or read book Hybrid vector similarity measure of single valued refined neutrosophic sets to multi-attribute decision making problems written by Surapati Pramanik and published by Infinite Study. This book was released on with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper proposes hybrid vector similarity measures under single valued refined neutrosophic sets and proves some of its basic properties. The proposed similarity measure is then applied for solving multiple attribute decision making problems. Lastly, a numerical example of medical diagnosis is given on the basis of the proposed hybrid similarity measures and the results are compared with the results of other existing methods to validate the applicability, simplicity and effectiveness of the proposed method.

Divergence Measure of Neutrosophic Sets and Applications

Author : Nguyen Xuan Thao
Publisher : Infinite Study
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4./5 ( download)

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Book Synopsis Divergence Measure of Neutrosophic Sets and Applications by : Nguyen Xuan Thao

Download or read book Divergence Measure of Neutrosophic Sets and Applications written by Nguyen Xuan Thao and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we first propose the concept of divergence measure on neutrosophic sets. We also provide some formulas for the divergence measure for neutrosophic sets. After that, we investigate the properties of proposed neutrosophic divergence measure. Finally, we also apply these formulas in medical problem and the classification problem.

New Trends in Neutrosophic Theory and Applications, Volume II

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 461 pages
Book Rating : 4./5 ( download)

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Book Synopsis New Trends in Neutrosophic Theory and Applications, Volume II by : Florentin Smarandache

Download or read book New Trends in Neutrosophic Theory and Applications, Volume II written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic theory and applications have been expanding in all directions at an astonishing rate especially after the introduction the journal entitled “Neutrosophic Sets and Systems”. New theories, techniques, algorithms have been rapidly developed. One of the most striking trends in the neutrosophic theory is the hybridization of neutrosophic set with other potential sets such as rough set, bipolar set, soft set, hesitant fuzzy set, etc.

New multiparametric similarity measure and distance measure for interval neutrosophic set with IoT industry evaluation

Author : XINDONG PENG
Publisher : Infinite Study
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4./5 ( download)

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Book Synopsis New multiparametric similarity measure and distance measure for interval neutrosophic set with IoT industry evaluation by : XINDONG PENG

Download or read book New multiparametric similarity measure and distance measure for interval neutrosophic set with IoT industry evaluation written by XINDONG PENG and published by Infinite Study. This book was released on with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the epoch of Internet of Things (IoT), we are confronted five challenges (Connectivity, Value, Security, Telepresence and Intelligence) with complex structures. IoT industry decision making is critically important for countries or societies to enhance the effectiveness and validity of leadership, which can greatly accelerate industrialized and large-scale development. In the case of IoT industry decision evaluation, the essential problem arises serious incompleteness, impreciseness, subjectivity and incertitude. Interval neutrosophic set (INS), disposing the indeterminacy portrayed by truth membership T, indeterminacy membership I, and falsity membership F with interval form, is a more viable and effective means to seize indeterminacy.

Multi-Attribute Decision-Making Based on Preference Perspective with Interval Neutrosophic Sets in Venture Capital

Author : Yanran Hong
Publisher : Infinite Study
ISBN 13 :
Total Pages : 13 pages
Book Rating : 4./5 ( download)

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Book Synopsis Multi-Attribute Decision-Making Based on Preference Perspective with Interval Neutrosophic Sets in Venture Capital by : Yanran Hong

Download or read book Multi-Attribute Decision-Making Based on Preference Perspective with Interval Neutrosophic Sets in Venture Capital written by Yanran Hong and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fuzzy information in venture capital can be well expressed by neutrosophic numbers, and TODIM method is an effective tool for multi-attribute decision-making. The distance measure is an essential step in TODIM method. The keystone of this paper is to define several new distance measures, in particular the improved interval neutrosophic Euclidean distance, and these measures are applied in the TODIM method for multi-attribute decision-making.

New distance and similarity measures of single value neutrosophic sets with application in multi-criteria decision-making

Author : Yameng Wang
Publisher : Infinite Study
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4./5 ( download)

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Book Synopsis New distance and similarity measures of single value neutrosophic sets with application in multi-criteria decision-making by : Yameng Wang

Download or read book New distance and similarity measures of single value neutrosophic sets with application in multi-criteria decision-making written by Yameng Wang and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: The processing of uncertainty information has gradually became one of the hot issues in arti cial intelligence eld, and the infor- mation measures of uncertainty information processing are of importance. Single value neutrosophic sets (SVNSs) provide us a exible mathematical framework to process uncertainty information. In this paper, we mainly consider the measures of SVNSs. The existing information measures mostly are constructed based on the two typical inclusion relations about single value neutrosopgic sets. However, there exist some practical problems that do not apply to the two typical inclusion relations. Therefore, there exists another inclusion relation which is called the type-3 inclusion relation about SVNSs.

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 21 / 2018

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 1599735814
Total Pages : 166 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 21 / 2018 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 21 / 2018 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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.

Similarity Measures of Quadripartitioned Single Valued Bipolar Neutrosophic Sets and Its Application in Multi-Criteria Decision Making Problems

Download Similarity Measures of Quadripartitioned Single Valued Bipolar Neutrosophic Sets and Its Application in Multi-Criteria Decision Making Problems PDF Online Free

Author : Subhadip Roy
Publisher : Infinite Study
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4./5 ( download)

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Book Synopsis Similarity Measures of Quadripartitioned Single Valued Bipolar Neutrosophic Sets and Its Application in Multi-Criteria Decision Making Problems by : Subhadip Roy

Download or read book Similarity Measures of Quadripartitioned Single Valued Bipolar Neutrosophic Sets and Its Application in Multi-Criteria Decision Making Problems written by Subhadip Roy and published by Infinite Study. This book was released on with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, a definition of quadripartitioned single valued bipolar neutrosophic set (QSVBNS) is introduced as a generalization of both quadripartitioned single valued neutrosophic sets (QSVNS) and bipolar neutrosophic sets (BNS). There is an inherent symmetry in the definition of QSVBNS. Some operations on them are defined and a set theoretic study is accomplished. Various similarity measures and distance measures are defined on QSVBNS. An algorithm relating to multi-criteria decision making problem is presented based on quadripartitioned bipolar weighted similarity measure. Finally, an example is shown to verify the flexibility of the given method and the advantage of considering QSVBNS in place of fuzzy sets and bipolar fuzzy sets.

Refined Simplified Neutrosophic Similarity Measures Based on Trigonometric Function and Their Application in Construction Project Decision-Making

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Author : U. Solang
Publisher : Infinite Study
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4./5 ( download)

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Book Synopsis Refined Simplified Neutrosophic Similarity Measures Based on Trigonometric Function and Their Application in Construction Project Decision-Making by : U. Solang

Download or read book Refined Simplified Neutrosophic Similarity Measures Based on Trigonometric Function and Their Application in Construction Project Decision-Making written by U. Solang and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study extends existing methods and provides a new way for the refined simplified neutrosophic MADM problems containing both the attribute weight and the sub-attribute weights.

Neutrosophic Sets and Systems, Vol. 43, 2021

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 311 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, Vol. 43, 2021 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, Vol. 43, 2021 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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. In this issue: On Neutrosophic Crisp Sets and Neutrosophic Crisp Mathematical Morphology, New Results on Pythagorean Neutrosophic Open Sets in Pythagorean Neutrosophic Topological Spaces, Comparative Mathematical Model for Predicting of Financial Loans Default using Altman Z-Score and Neutrosophic AHP Methods.

Applications of Neutrosophic Bipolar Fuzzy Sets in HOPE Foundation for Planning to Build a Children Hospital with Different Types of Similarity Measures

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Author : Raja Muhammad Hashim
Publisher : Infinite Study
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4./5 ( download)

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Book Synopsis Applications of Neutrosophic Bipolar Fuzzy Sets in HOPE Foundation for Planning to Build a Children Hospital with Different Types of Similarity Measures by : Raja Muhammad Hashim

Download or read book Applications of Neutrosophic Bipolar Fuzzy Sets in HOPE Foundation for Planning to Build a Children Hospital with Different Types of Similarity Measures written by Raja Muhammad Hashim and published by Infinite Study. This book was released on with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we provide an application of neutrosophic bipolar fuzzy sets in daily life’s problem related with HOPE foundation that is planning to build a children hospital, which is the main theme of this paper. For it we first develop the theory of neutrosophic bipolar fuzzy sets which is a generalization of bipolar fuzzy sets. After giving the definition we introduce some basic operation of neutrosophic bipolar fuzzy sets and focus on weighted aggregation operators in terms of neutrosophic bipolar fuzzy sets.

Neutrosophic Sets and Systems, book series, Vol. 9, 2015

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 1599733544
Total Pages : pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Neutrosophic Sets and Systems, book series, Vol. 9, 2015 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, book series, Vol. 9, 2015 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: This volume is a collection of fourteen papers, written by different authors and co-authors (listed in the order of the papers): F. Yuhua, K. Mandal, K. Basu, S. Pramanik, K. Mondal, S. Alkhazaleh, J. Nescolarde-Selva, J. L. Usó-Doménech, A. Betancourt-Vázquez, K. Pérez-Teruel, M. Leyva-Vázquez, A. Aydoğdu, I. Arockiarani, C. A. C. Sweety, F. Smarandache, L. Zhengda, S. Kar, S. Mukherjee, P. Das, and T. K. Kumar. In first paper, the author studied Interpreting and Expanding Confucius' Golden Mean through Neutrosophic Tetrad. Hypercomplex Neutrosophic Similarity Measure & Its Application In Multicriteria Decision Making Problem is discussed in the second paper. Interval Neutrosophic Multi-Attribute Decision-Making Based on Grey Relational Analysis are studied in third paper. In fourth paper, More on Neutrosophic Norms and Conorms. Similarly in fifth paper, Ideological systems and its validation: a neutrosophic approach is discussed. In paper six, Modeling and analyzing non-functional requirements interdependencies with neutrosophic logic is studied by the author. On Entropy and Similarity Measure Interval Valued Neutrosophic Sets given in seventh paper. Topological structures of fuzzy neutrosophic rough sets are proposed in the next paper. Refined Literal Indeterminacy and the Multiplication Law of Sub-Indeterminacies in the next paper. Further, Neutrosophic Decision Making Model for Clay-Brick Selection in Construction Field Based on Grey Relational Analysis is discussed by the authors in the tenth paper. In eleventh paper, Neutrosophy-based Interpretation of Four Mechanical Worldviews have been studied by the author. In the next paper, Application of Neutrosophic Set Theory in Generalized Assignment Problem is studied. In thirteenth paper, Tangent Similarity Measure and its application to multiple attribute decision making is discussed. At the end, Multiobjective non-linear programming problem based on Neutrosophic Optimization Technique and its application in Riser Design Problem are introduced by the authors. Keywords: neutrosophy, neutrosophic set theory, Confucius' golden mean, neutrosophic tetrad, similarity measure interval valued neutrosophic sets, neutrosophic decision making model, neutrosophic optimization technique.

Collected Papers. Volume XII

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 1006 pages
Book Rating : 4./5 ( download)

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Book Synopsis Collected Papers. Volume XII by : Florentin Smarandache

Download or read book Collected Papers. Volume XII written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-08-01 with total page 1006 pages. Available in PDF, EPUB and Kindle. Book excerpt: This twelfth volume of Collected Papers includes 86 papers comprising 976 pages on Neutrosophics Theory and Applications, published between 2013-2021 in the international journal and book series “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.

Neutrosophic Sets and Systems, vol. 9/2015

Author : F. Yuhua
Publisher : Infinite Study
ISBN 13 :
Total Pages : 98 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, vol. 9/2015 by : F. Yuhua

Download or read book Neutrosophic Sets and Systems, vol. 9/2015 written by F. Yuhua and published by Infinite Study. This book was released on with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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 Sets and Systems, Vol. 28, 2019

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 304 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, Vol. 28, 2019 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, Vol. 28, 2019 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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.