New Distance Measure Of Single Valued Neutrosophic Sets And Its Application

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New Distance Measure Of Single Valued Neutrosophic Sets And Its Application

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Author : Han-Liang Huang
language : en
Publisher: Infinite Study
Release Date :

New Distance Measure Of Single Valued Neutrosophic Sets And Its Application written by Han-Liang Huang 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 categories.

A single-valued neutrosophic set (SVNS) is an instance of a neutrosophic set, which can be used to handle uncertainty, imprecise, indeterminate, and inconsistent information in real life. In this paper, a new distance measure between two SVNSs is defined by the full consideration of truthmembership function, indeterminacy-membership function, and falsity-membership function for the forward and backward differences. Then the similarity measure, the entropy measure, and the index of distance are also presented. Finally, two illustrative examples are given to demonstrate the effectiveness of the proposed clustering method and multicriteria decision-making method based on the distance (similarity) measure between SVNSs.

Neutrosophic Set A Generalization Of The Intuitionistic Fuzzy Set

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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2010-08-23

Neutrosophic Set A Generalization Of The Intuitionistic Fuzzy Set 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 2010-08-23 with Mathematics categories.

In this paper one generalizes the intuitionistic fuzzy set (IFS), paraconsistent set, and intuitionistic set to the neutrosophic set (NS). Many examples are presented. Distinctions between NS and IFS are underlined.

Some New Biparametric Distance Measures On Single Valued Neutrosophic Sets With Applications To Pattern Recognition And Medical Diagnosis

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Author : Harish Garg and Nancy
language : en
Publisher: Infinite Study
Release Date :

Some New Biparametric Distance Measures On Single Valued Neutrosophic Sets With Applications To Pattern Recognition And Medical Diagnosis written by Harish Garg and 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 categories.

Single-valued neutrosophic sets (SVNSs) handling the uncertainties characterized by truth, indeterminacy, and falsity membership degrees, area more flexible way to capture uncertainty.

Divergence Measure Of Neutrosophic Sets And Applications

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Author : Nguyen Xuan Thao
language : en
Publisher: Infinite Study
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Divergence Measure Of Neutrosophic Sets And Applications written by Nguyen Xuan Thao 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.

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.

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.

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 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 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 Sets And Systems Vol 51 2022

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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2022-09-01

Neutrosophic Sets And Systems Vol 51 2022 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 2022-09-01 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 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).

On Parametric Divergence Measure Of Neutrosophic Sets With Its Application In Decision Making Models

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Author : Abhishek Guleria
language : en
Publisher: Infinite Study
Release Date :

On Parametric Divergence Measure Of Neutrosophic Sets With Its Application In Decision Making Models written by Abhishek Guleria 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.

In various decision-making models the divergence measure is found to be a useful information measure in handling impreciseness and uncertainty among the qualitative and quantitative factors of the decision-making process. In the proposed work, a novel parametric divergence measure for neutrosophic sets has been proposed along with its various properties.

Neutrosophic Sets And Systems Vol 35 2020

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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date :

Neutrosophic Sets And Systems Vol 35 2020 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 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. 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.