A Novel Divergence Measure And Its Based Topsis Method For Multi Criteria Decision Making Under Single Valued Neutrosophic Environment
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A Novel Divergence Measure And Its Based Topsis Method For Multi Criteria Decision Making Under Single Valued Neutrosophic Environment
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Author : Nancy
language : en
Publisher: Infinite Study
Release Date :
A Novel Divergence Measure And Its Based Topsis Method For Multi Criteria Decision Making Under Single Valued Neutrosophic Environment written by Nancy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
The theme of this work is to present an axiomatic definition of divergence measure for single-valued neutrosophic sets (SVNSs). The properties of the proposed divergence measure have been studied. Further, we develop a novel technique for order preference by similarity to ideal solution (TOPSIS) method for solving single-valued neutrosophic multi-criteria decision-making with incomplete weight information. Finally, a numerical example is presented to verify the proposed approach and to present its effectiveness and practicality.
Algorithms For Single Valued Neutrosophic Decision Making Based On Topsis And Clustering Methods With New Distance Measure
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Author : Harish Garg
language : en
Publisher: Infinite Study
Release Date :
Algorithms For Single Valued Neutrosophic Decision Making Based On Topsis And Clustering Methods With New Distance Measure written by Harish Garg and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
Single-valued neutrosophic set (SVNS) is an important contrivance for directing the decision-making queries with unknown and indeterminant data by employing a degree of “acceptance”, “indeterminacy”, and “non-acceptance” in quantitative terms. Under this set, the objective of this paper is to propose some new distance measures to find discrimination between the SVNSs. The basic axioms of the measures have been highlighted and examined their properties. Furthermore, to examine the relevance of proposed measures, an extended TOPSIS (“technique for order preference by similarity to ideal solution”) method is introduced to solve the group decision-making problems. Additionally, a new clustering technique is proposed based on the stated measures to classify the objects. The advantages, comparative analysis as well as superiority analysis is given to shows its influence over existing approaches.
Neutrosophic Sets And Systems Vol 73 2024 Proceedings Of The Mediterranean Conference On Three Decades Of Neutrosophic And Plithogenic Theories And Applications Meconet 2024
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2024-12-01
Neutrosophic Sets And Systems Vol 73 2024 Proceedings Of The Mediterranean Conference On Three Decades Of Neutrosophic And Plithogenic Theories And Applications Meconet 2024 written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-01 with Mathematics categories.
This volume contains the proceedings of the Mediterranean Conference on Neutrosophic Theory (MeCoNeT 2024), held at the Accademia Peloritana dei Pericolanti of the University of Messina on September 24-25, 2024. The event was organized by the MIFT Department (Mathematics, Computer Science, Physics, and Earth Sciences) of the University of Messina, marking the first international congress on neutrosophic theories outside the Americas. This milestone has firmly established the Mediterranean region as a key hub for research in the rapidly growing field of neutrosophic theory. The MeCoNeT 2024 conference drew over 100 participants from more than 15 countries, with more than 50 scientific contributions selected through a rigorous peer review process. The hybrid format of the event—featuring in-person sessions at the historical Accademia Peloritana dei Pericolanti and online parallel sessions—allowed for broad international participation. The conference thus offered an ideal platform for sharing interdisciplinary research and addressing contemporary challenges in mathematics and beyond.
Multi Attribute Neutrosophic Optimization Technique For Optimal Crop Selection In Ariyalur District
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Author : Angammal S.
language : en
Publisher: Infinite Study
Release Date : 2024-09-01
Multi Attribute Neutrosophic Optimization Technique For Optimal Crop Selection In Ariyalur District written by Angammal S. and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-01 with Mathematics categories.
Ranking crops is a vital part of sustainable farming practices. A deliberate strategy that incorporates multi-criteria decision-making is essential for achieving sustainability in agriculture. The process of choosing crops involves a lot of unknowns and unpredictable elements. The neutrosophic set, characterized by the three independent degrees of truth (T), falsity (F), and indeterminacy (I), is more adept at handling incomplete data. The current study combines single-valued multi-criteria neutrosophic programming with the TOPSIS approach to examine the crop selection process in the Ariyalur district. This study incorporated expert advice and a thorough literature analysis to identify the fundamental criteria for developing sustainable crop planning for important crops in the Ariyalur area. In order to rate the crops and achieve sustainability for agricultural production, eleven significant criteria were selected based on environmental, social, economic, and soil nutrient concerns. In this study, the relative importance of criteria and alternatives is assessed by consolidating the views of different decision-makers into a unified opinion through a single-valued neutrosophic set-based weighted averaging operator. The current approach will greatly enhance the self-sufficiency of the agricultural sector and boost the country’s GDP. Additionally, it will support the Ministry of Agriculture and other stakeholders in formulating regulations related to crop harvesting methods.
Neutrosophic Sets And Systems Vol 76 2025
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2025-01-15
Neutrosophic Sets And Systems Vol 76 2025 written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-15 with Mathematics categories.
“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
Handbook Of Research On The Applications Of Neutrosophic Sets Theory And Their Extensions In Education
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Author : Broumi, Said
language : en
Publisher: IGI Global
Release Date : 2023-06-09
Handbook Of Research On The Applications Of Neutrosophic Sets Theory And Their Extensions In Education written by Broumi, Said and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-09 with Mathematics categories.
Fuzzy sets have experienced multiple expansions since their conception to enhance their capacity to convey complex information. Intuitionistic fuzzy sets, image fuzzy sets, q-rung orthopair fuzzy sets, and neutrosophic sets are a few of these extensions. Researchers and academics have acquired a lot of information about their theories and methods for making decisions. However, only a small number of research findings discuss how neutrosophic sets theory and their extensions (NSTEs) are used in education. The Handbook of Research on the Applications of Neutrosophic Sets Theory and Their Extensions in Education implements fresh scientific approaches to enhance the quality of decisions under neutrosophic environments, particularly within education. Covering key topics such as data modeling, educational technologies, decision making, and learning management systems, this major reference work is ideal for instructional designers, researchers, academicians, scholars, practitioners, instructors, and students.
New Distance And Similarity Measures Of Single Value Neutrosophic Sets With Application In Multi Criteria Decision Making
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Author : Yameng Wang
language : en
Publisher: Infinite Study
Release Date :
New Distance And Similarity Measures Of Single Value Neutrosophic Sets With Application In Multi Criteria Decision Making written by Yameng Wang and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
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.
Hausdorff Distance And Similarity Measures For Single Valued Neutrosophic Sets With Application In Multi Criteria Decision Making
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Author : Mehboob Ali
language : en
Publisher: Infinite Study
Release Date : 2022-01-01
Hausdorff Distance And Similarity Measures For Single Valued Neutrosophic Sets With Application In Multi Criteria Decision Making written by Mehboob Ali and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-01 with Mathematics categories.
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.
Neutrosophic Sets And Systems Vol 56 2023
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2024-03-20
Neutrosophic Sets And Systems Vol 56 2023 written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-20 with Mathematics categories.
“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
Neutrosophic Sets And Systems An International Book Series In Information Science And Engineering Vol 21 2018
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2018
Neutrosophic Sets And Systems An International Book Series In Information Science And Engineering Vol 21 2018 written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Mathematics categories.
“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.