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

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 27 pages
Book Rating : 4./5 ( download)

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Book Synopsis Different Forms of Triangular Neutrosophic Numbers, De-Neutrosophication Techniques, and their Applications by : Avishek Chakraborty

Download or read book Different Forms of Triangular Neutrosophic Numbers, De-Neutrosophication Techniques, and their Applications written by Avishek Chakraborty and published by Infinite Study. This book was released on with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Different Linear and Non-Linear Form of Trapezoidal Neutrosophic Numbers, De-Neutrosophication Techniques and Its Application In Time-Cost Optimization Technique, Sequencing Problem

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4./5 ( download)

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Book Synopsis Different Linear and Non-Linear Form of Trapezoidal Neutrosophic Numbers, De-Neutrosophication Techniques and Its Application In Time-Cost Optimization Technique, Sequencing Problem by : Avishek Chakraborty

Download or read book Different Linear and Non-Linear Form of Trapezoidal Neutrosophic Numbers, De-Neutrosophication Techniques and Its Application In Time-Cost Optimization Technique, Sequencing Problem written by Avishek Chakraborty and published by Infinite Study. This book was released on with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this research article, we envisage the neutrosophic number from various distinct rational perspectives & viewpoints to give it a look of a conundrum. We focused & analysed various types of linear and non-linear generalized trapezoidal neutrosophic numbers which serves an indispensable role for uncertainty concept related problem.

Neutrosophic Sets and Systems, vol. 48/2022

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Author :
Publisher : Infinite Study
ISBN 13 :
Total Pages : 496 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, vol. 48/2022 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, vol. 48/2022 written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-02-01 with total page 496 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. 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).

Neutrosophic Operational Research

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Author :
Publisher : Springer Nature
ISBN 13 : 3030571971
Total Pages : 628 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Neutrosophic Operational Research by : Florentin Smarandache

Download or read book Neutrosophic Operational Research written by Florentin Smarandache and published by Springer Nature. This book was released on 2021-09-09 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 1, 2020

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Author :
Publisher : Infinite Study
ISBN 13 :
Total Pages : 94 pages
Book Rating : 4./5 ( download)

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Book Synopsis International Journal of Neutrosophic Science (IJNS) Volume 1, 2020 by : Broumi Said

Download or read book International Journal of Neutrosophic Science (IJNS) Volume 1, 2020 written by Broumi Said and published by Infinite Study. This book was released on with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

International Journal of Neutrosophic Science (IJNS) Volume 3, 2020

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Author :
Publisher : Infinite Study
ISBN 13 :
Total Pages : 116 pages
Book Rating : 4./5 ( download)

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Book Synopsis International Journal of Neutrosophic Science (IJNS) Volume 3, 2020 by : Broumi Said

Download or read book International Journal of Neutrosophic Science (IJNS) Volume 3, 2020 written by Broumi Said and published by Infinite Study. This book was released on with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Neutrosophic Sets and Systems, vol. 51/2022

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Author :
Publisher : Infinite Study
ISBN 13 :
Total Pages : 970 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, vol. 51/2022 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, vol. 51/2022 written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-09-01 with total page 970 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. 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).

Neutrosophic Sets and Systems, Vol. 35, 2020

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Author :
Publisher : Infinite Study
ISBN 13 :
Total Pages : 596 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, Vol. 35, 2020 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, Vol. 35, 2020 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 596 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 in this issue: Neutrosophic Soft Fixed Points, Selection of Alternative under the Framework of Single-Valued Neutrosophic Sets, Application of Single Valued Trapezoidal Neutrosophic Numbers in Transportation Problem.

Neutrosophic Sets and Systems, Book Series, Vol. 35, 2020. An International Book Series in Information Science and Engineering

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Author :
Publisher : Infinite Study
ISBN 13 :
Total Pages : 583 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, Book Series, Vol. 35, 2020. An International Book Series in Information Science and Engineering by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, Book Series, Vol. 35, 2020. An International Book Series in Information Science and Engineering written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contributors to current issue (listed in papers’ order): Ibrahim Yasser, Abeer Twakol, A. A. Abd El-Khalek, A. A. Salama, Ahmed Sharaf Al-Din, Issam Abu Al-Qasim, Rafif Alhabib, Magdy Badran, Remya P. B, Francina Shalini, Masoud Ghods, Zahra Rostami, A. Sahaya Sudha, Luiz Flavio Autran Monteiro Gomes, K.R. Vijayalakshmi, Prakasam Muralikrishna, Surya Manokaran, Nidhi Singh, Avishek Chakraborty, Soma Bose Biswas, Malini Majumdar, Rakhal Das, Binod Chandra Tripathy, Nidhi Singh, Avishek Chakraborty, Nilabhra Paul, Deepshikha Sarma, Akash Singh, Uttam Kumar Bera, Fatimah M. Mohammed, Sarah W. Raheem, Muhammad Riaz, Florentin Smarandache, Faruk Karaaslan, Masooma Raza Hashmi, Iqra Nawaz, Kousik Das, Sovan Samanta, Kajal De, Xavier Encarnacion, Nivetha Martin, I. Pradeepa, N. Ramila Gandhi, P. Pandiammal, Aiman Muzaffar, Md Tabrez Nafis, Shahab Saquib Sohail, Abhijit Saha, Jhulaneswar Baidya, Debjit Dutta, Irfan Deli, Said Broumi, Mohsin Khalid, Neha Andaleeb Khalid, Md. Hanif Page, Qays Hatem Imran, Shilpi Pal, S. Satham Hussain, Saeid Jafari, N. Durga, Hanieh Shambayati, Mohsen Shafiei Nikabadi, Seyed Mohammad, Ali Khatami Firouzabadi, Mohammad Rahmanimanesh, Mujahid Abbas, Ghulam Murtaza, K. Porselvi, B. Elavarasan, Y. B. Jun, Chinnadurai V, Sindhu M P, K.Radhika, K. Arun Prakash, Malayalan Lathamaheswari, Ruipu Tan, Deivanayagampillai Nagarajan, Talea Mohamed, Assia Bakali, Nivetha Martin, R. Dhavaseelan, Ali Hussein Mahmood Al-Obaidi, Suman Das, Surapati Pramanik, Madad Khan, Muhammad Zeeshan, Saima Anis, Abdul Sami Awan, M. Sarwar Sindhu, Tabasam Rashid, Agha Kashif, Rajesh Kumar Saini, Atul Sangal, Manisha.

International Journal of Neutrosophic Science (IJNS) Volume 14, 2021

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Author :
Publisher : Infinite Study
ISBN 13 :
Total Pages : 128 pages
Book Rating : 4./5 ( download)

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Book Synopsis International Journal of Neutrosophic Science (IJNS) Volume 14, 2021 by : Broumi Said

Download or read book International Journal of Neutrosophic Science (IJNS) Volume 14, 2021 written by Broumi Said and published by Infinite Study. This book was released on with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

De-Neutrosophication Technique of Pentagonal Neutrosophic Number and Application in Minimal Spanning Tree

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4./5 ( download)

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Book Synopsis De-Neutrosophication Technique of Pentagonal Neutrosophic Number and Application in Minimal Spanning Tree by : Avishek Chakraborty

Download or read book De-Neutrosophication Technique of Pentagonal Neutrosophic Number and Application in Minimal Spanning Tree written by Avishek Chakraborty and published by Infinite Study. This book was released on with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this current era, neutrosophic set theory is a crucial topic to demonstrate the ambiguous information due to existence of three disjunctive components appears in it and it provides a wide range of applications in distinct fields for the researchers. Generally, neutrosophic sets is the extended version of crisp set, fuzzy set and intuitionistic fuzzy sets to focus on the uncertain, hesitant and ambiguous datas of a real life mathematical problem.

Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume I

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Publisher : Infinite Study
ISBN 13 : 3038973858
Total Pages : 480 pages
Book Rating : 4.0/5 (389 download)

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Book Synopsis Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume I by : Florentin Smarandache

Download or read book Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume I written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (, , ), where is an entity (i.e., element, concept, idea, theory, logical proposition, etc.), is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor . Based on neutrosophy, the neutrosophic triplets were founded; they have a similar form: (x, neut(x), anti(x), that satisfy some axioms, for each element x in a given set. This book contains the successful invited submissions to a special issue of Symmetry, reporting on state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets, and their algebraic structures—that have been defined recently in 2016, but have gained interest from world researchers, and several papers have been published in first rank international journals.

Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets

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Author :
Publisher : MDPI
ISBN 13 : 303897384X
Total Pages : 478 pages
Book Rating : 4.0/5 (389 download)

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Book Synopsis Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets by : Florentin Smarandache

Download or read book Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets written by Florentin Smarandache and published by MDPI. This book was released on 2019-04-04 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (, , ), where is an entity {i.e. element, concept, idea, theory, logical proposition, etc.}, is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor . Based on neutrosophy, the neutrosophic triplets were founded, which have a similar form (x, neut(x), anti(x)), that satisfy several axioms, for each element x in a given set. This collective book presents original research papers by many neutrosophic researchers from around the world, that report on the state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets and their algebraic structures – that have been defined recently in 2016 but have gained interest from world researchers. Connections between classical algebraic structures and neutrosophic triplet / duplet / multiset structures are also studied. And numerous neutrosophic applications in various fields, such as: multi-criteria decision making, image segmentation, medical diagnosis, fault diagnosis, clustering data, neutrosophic probability, human resource management, strategic planning, forecasting model, multi-granulation, supplier selection problems, typhoon disaster evaluation, skin lesson detection, mining algorithm for big data analysis, etc.

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

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Author :
Publisher : Infinite Study
ISBN 13 :
Total Pages : 106 pages
Book Rating : 4./5 ( download)

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Book Synopsis International Journal of Neutrosophic Science (IJNS) Volume 5, 2020 by : Broumi Said

Download or read book International Journal of Neutrosophic Science (IJNS) Volume 5, 2020 written by Broumi Said and published by Infinite Study. This book was released on with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

New Development of Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Algebraic Structures, and Neutrosophic Plithogenic Optimizations

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 411 pages
Book Rating : 4./5 ( download)

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Book Synopsis New Development of Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Algebraic Structures, and Neutrosophic Plithogenic Optimizations by : Florentin Smarandache

Download or read book New Development of Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Algebraic Structures, and Neutrosophic Plithogenic Optimizations written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-09-01 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents state-of-the-art papers on new topics related to neutrosophic theories, such as neutrosophic algebraic structures, neutrosophic triplet algebraic structures, neutrosophic extended triplet algebraic structures, neutrosophic algebraic hyperstructures, neutrosophic triplet algebraic hyperstructures, neutrosophic n-ary algebraic structures, neutrosophic n-ary algebraic hyperstructures, refined neutrosophic algebraic structures, refined neutrosophic algebraic hyperstructures, quadruple neutrosophic algebraic structures, refined quadruple neutrosophic algebraic structures, neutrosophic image processing, neutrosophic image classification, neutrosophic computer vision, neutrosophic machine learning, neutrosophic artificial intelligence, neutrosophic data analytics, neutrosophic deep learning, and neutrosophic symmetry, as well as their applications in the real world.

International Journal of Neutrosophic Science (IJNS) Volume 10, 2020

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Author :
Publisher : Infinite Study
ISBN 13 :
Total Pages : 126 pages
Book Rating : 4./5 ( download)

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Book Synopsis International Journal of Neutrosophic Science (IJNS) Volume 10, 2020 by : Broumi Said

Download or read book International Journal of Neutrosophic Science (IJNS) Volume 10, 2020 written by Broumi Said and published by Infinite Study. This book was released on with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. Papers concern with 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 contributions to economics, finance, management, industries, electronics, and communications are promoted.

Neutrosophic Sets and Systems, Vol. 32, 2020

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Author :
Publisher : Infinite Study
ISBN 13 :
Total Pages : 454 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, Vol. 32, 2020 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, Vol. 32, 2020 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 454 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 in this issue: Parameter Reduction of Neutrosophic Soft Sets and Their Applications, Geometric Programming (NGP) Problems Subject to (⋁,.) Operator; the Minimum Solution, Ngpr Homeomorphism in Neutrosophic Topological Spaces, Generalized Neutrosophic Separation Axioms in Neutrosophic Soft Topological Spaces.