Measure Distance Between Neutrosophic Sets An Evidential Approach
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Author | : Jiawei Zou |
Publisher | : Infinite Study |
Total Pages | : 8 |
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Due to the efficiency to handle uncertainty information, the single valued neutrosophic set is widely used in multicriteria decision-making. In MCDM, it is inevitable to measure the distance between two single valued neutrosophic sets. In this paper, an evidence distance for neutrosophic sets is proposed. There are two main contributions of this work. One is a new method to transform the single valued neutrosophic set into basic probability assignment. The other is evidence distance function between two single valued neutrosophic sets. The application in MCDM is illustrated the efficiency of the proposed distance.
Author | : Said Broumi |
Publisher | : Infinite Study |
Total Pages | : 7 |
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In this paper we proposed a new distance and several similarity measures between interval neutrosophic sets.
Author | : Han-Liang Huang |
Publisher | : Infinite Study |
Total Pages | : 12 |
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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.
Author | : Misturah Adunni Alaran |
Publisher | : Infinite Study |
Total Pages | : 10 |
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Genre | : Mathematics |
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Single-valued neutrosophic set has been of valued importance in multi-criteria decision making problems using sim-ilarity measure. Department selection for students moving from JSS to SSS class in Nigerian Education System is such an area where decision taking has been critical as the future career of a student depends of the choice of Department in SSS class. Neutrosophic similarity measure is proposed for this department selection.
Author | : Kalyan Sinha |
Publisher | : Infinite Study |
Total Pages | : 9 |
Release | : |
Genre | : Mathematics |
ISBN | : |
In this paper, we have defined different types of similarity measures between Neutrosophic Soft (NS) sets and studied some of their properties. Finally we have solve a real life problem by using similarity measure of neutrosophic soft sets.
Author | : Florentin Smarandache |
Publisher | : Infinite Study |
Total Pages | : 596 |
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Genre | : Mathematics |
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“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.
Author | : Broumi Said |
Publisher | : Infinite Study |
Total Pages | : 25 |
Release | : |
Genre | : Mathematics |
ISBN | : |
Distance measure is a numerical measurement of the distance between any two objects. The aim of this paper is to propose a new distance measure for trapezoidal fuzzy neutrosophic numbers based on the centroids with graphical representation.
Author | : Dongsheng Xu |
Publisher | : Infinite Study |
Total Pages | : 16 |
Release | : |
Genre | : Mathematics |
ISBN | : |
As an extension of neutrosophic set, interval complex neutrosophic set is a new research topic in the field of neutrosophic set theory, which can handle the uncertain, inconsistent and incomplete information in periodic data. Distance measure is an important tool to solve some problems in engineering and science. Hence, this paper presents some interval complex neutrosophic distance measures to deal with multi-criteria group decision-making problems.
Author | : Florentin Smarandache |
Publisher | : Infinite Study |
Total Pages | : 252 |
Release | : |
Genre | : Mathematics |
ISBN | : |
“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: BMBJ-neutrosophic ideals in BCK/BCI-algebras, Neutrosophic General Finite Automata, Generalized Neutrosophic Exponential map, Implementation of Neutrosophic Function Memberships Using MATLAB Program.
Author | : A. Edward Samuel |
Publisher | : Infinite Study |
Total Pages | : 7 |
Release | : |
Genre | : Mathematics |
ISBN | : |
The objective of the study is to find out the relationship between the disease and the symptoms seen with the patient and diagnose the disease that impacted the patient using rough neutrosophic set. Neoteric method [PI-distance] is devised in rough neutrosophic set. Utilization of medical diagnosis is commenced with using prescribed procedures to identify a person suffering from the disease for a considerable period. The result showed that the proposed method is free from shortcomings that affect the existing methods and found to be more accurate in diagnosing the diseases.