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NEUTROSOPHIC TRIPLET STRUCTURES, Volume I
  • Language: en
  • Pages: 199

NEUTROSOPHIC TRIPLET STRUCTURES, Volume I

Neutrosophic theory and its applications have been expanding in all directions at an astonishing rate especially after of 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. The different hybrid structures such as rough neutrosophic set, single valued neutrosophic rough set, bipolar neutrosophic set, single valued neutrosophic hesitant fuzzy set, etc. are proposed in the literature in a short period of time. Neutrosophic set has been an important tool in the application of various areas such as data mining, decision making, e-learning, engineering, medicine, social science, and some more.

Neutrosophic Triplet Partial v-Generalized Metric Space
  • Language: en
  • Pages: 20

Neutrosophic Triplet Partial v-Generalized Metric Space

In this chapter, study the notion of neutrosophic triplet partial v-generalized metric space. Then, we give some definitions and examples for neutrosophic triplet partial v-generalized metric space and obtain some properties and prove these properties. Furthermore, we show that neutrosophic triplet partial v-generalized metric space is different from neutrosophic triplet v-generalized metric space and neutrosophic triplet partial metric space.

MAS EUROPEAN INTERNATIONAL CONGRESS ON MATHEMATICS-ENGINEERING-NATURAL & MEDICAL SCIENCES-IV
  • Language: en
  • Pages: 13

MAS EUROPEAN INTERNATIONAL CONGRESS ON MATHEMATICS-ENGINEERING-NATURAL & MEDICAL SCIENCES-IV

In this study, we defined neutrosophic triplet partial b - normed spaces. We gave examples and properties for this structure. Also, neutrosophic triplet normed spaces [6], and neutrosophic triplet partial b - metric spaces [9] are compared with neutrosophic triplet partial b - normed spaces. Furthermore, we show that neutrosophic triplet partial b - normed spaces are different from these neutrosophic triplet structures. In addition, we discussed in which special cases the neutrosophic partial b - normed spaces provide the properties of other neutrosophic triplet structures. Thus, we added neutrosophic triplet partial b - normed spaces to the neutrosophic triplet structures which are a new theory.

Neutrosophic Sets and Systems, book series, Vol. 15, 2017
  • Language: en
  • Pages: 98

Neutrosophic Sets and Systems, book series, Vol. 15, 2017

Abstract: Contributors to current issue (listed in papers' order): Mai Mohamed, Mohamed Abdel-Basset, Abdel Nasser H Zaied, Florentin Smarandache, Mridula Sarkar, Samir Dey, Tapan Kumar Roy, A. A. Salama, Hewayda ElGhawalby, Shimaa Fathi Ali, T. Chalapathi, Kiran Kumar, Mehmet Sahin, Necati Olgun, Vakkas Ulucay, Abdullah Kargin, Tanushree Mitra Basu, Shyamal Kumar Mondal, Durga Banerjee, Bibhas C. Giri, Surapati Pramanik, Partha Pratim Dey, Mona Gamal Gafar, Ibrahim El-Henawy. Papers in current issue (listed in papers' order): Neutrosophic Integer Programming Problem; Multi-Objective Structural Design Optimization using Neutrosophic Goal Programming Technique; Topological Manifold Space via ...

Multi-Criteria Decision-Making and Optimum Design with Machine Learning
  • Language: en
  • Pages: 361

Multi-Criteria Decision-Making and Optimum Design with Machine Learning

  • Type: Book
  • -
  • Published: 2024-12-11
  • -
  • Publisher: CRC Press

As multicriteria decision-making (MCDM) continues to grow and evolve, machine learning (ML) techniques have become increasingly important in finding efficient and effective solutions to complex problems. This book is intended to guide researchers, practitioners, and students interested in the intersection of ML and MCDM for optimal design. Multi-Criteria Decision-Making and Optimum Design with Machine Learning: A Practical Guide is a comprehensive resource that bridges the gap between ML and MCDM. It offers a practical approach by demonstrating the application of ML and MCDM algorithms to real-world problems. Through case studies and examples, it showcases the effectiveness of these techniqu...

Neutrosophic Sets and Systems, vol. 15/2017
  • Language: en
  • Pages: 98

Neutrosophic Sets and Systems, vol. 15/2017

“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. 48/2022
  • Language: en
  • Pages: 496

Neutrosophic Sets and Systems, vol. 48/2022

“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 neithe...

Exploring Concepts of HyperFuzzy, HyperNeutrosophic, and HyperPlithogenic Sets (II)
  • Language: en
  • Pages: 61

Exploring Concepts of HyperFuzzy, HyperNeutrosophic, and HyperPlithogenic Sets (II)

This paper delves into the advancements of classical set theory to address the complexities and uncertainties inherent in real-world phenomena. It highlights three major extensions of traditional set theory - Fuzzy Sets [288], Neutrosophic Sets [237], and Plithogenic Sets [243] - and examines their further generalizations into Hyperfuzzy [106], HyperNeutrosophic [90], and Hyperplithogenic Sets [90]. Building on previous research [83], this study explores the potential applications of HyperNeutrosophic Sets and SuperHyperNeutrosophic Sets across various domains. Specifically, it extends f undamental c oncepts such as Neutrosophic Logic, Cognitive Maps, Graph Neural Networks, Classifiers, and Triplet Groups through these advanced set structures and briefly a nalyzes t heir m athematical properties.

Superhypergraph Neural Networks and Plithogenic Graph Neural Networks: Theoretical Foundations
  • Language: en
  • Pages: 77

Superhypergraph Neural Networks and Plithogenic Graph Neural Networks: Theoretical Foundations

Hypergraphs extend traditional graphs by allowing edges to connect multiple nodes, while superhypergraphs further generalize this concept to represent even more complex relationships. Neural networks, inspired by biological systems, are widely used for tasks such as pattern recognition, data classification, and prediction. Graph Neural Networks (GNNs), a well-established framework, have recently been extended to Hypergraph Neural Networks (HGNNs), with their properties and applications being actively studied. The Plithogenic Graph framework enhances graph representations by integrating multi-valued attributes, as well as membership and contradiction functions, enabling the detailed modeling ...

Research on the topics of neutrosophic operations research
  • Language: en
  • Pages: 366

Research on the topics of neutrosophic operations research

In this volume, we present a set of research that was published in cooperation with a number of researchers and those interested in keeping pace with the great scientific development that our contemporary world is witnessing, and one of its products was neutrosophic science, which was founded by the American scientist and mathematical philosopher Florentin Smarandache in 1995. Through it, we present a new vision for some research methods. Operations research to the concepts of this science.