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| Author | : J.Dhivya |
| Publisher | : Infinite Study |
| Total Pages | : 10 |
| Release | : |
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| ISBN | : |
Neutrosophic set (NS) is very useful to express incomplete, uncertainty, and inconsistent information in a more general way.
| Author | : Qingqing Hu |
| Publisher | : Infinite Study |
| Total Pages | : 19 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
Cut sets, decomposition theorem and representation theorem have a great influence on the realization of the transformation of fuzzy sets and classical sets, and the single-valued neutrosophic multisets (SVNMSs) as the generalization of fuzzy sets, which cut sets, decomposition theorem and representation theorem have the similar effects, so they need to be studied in depth. In this paper, the decomposition theorem, representation theorem and the application of a new similarity measures of SVNMSs are studied by using theoretical analysis and calculations. The following are the main results: (1) The notions, operation and operational properties of the cut sets and strong cut sets of SVNMSs are introduced and discussed; (2) The decomposition theorem and representation theorem of SVNMSs are established and rigorously proved.
| Author | : Surapati Pramanik |
| Publisher | : Infinite Study |
| Total Pages | : 19 |
| Release | : |
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This paper proposes hybrid vector similarity measures under single valued refined neutrosophic sets and proves some of its basic properties. The proposed similarity measure is then applied for solving multiple attribute decision making problems. Lastly, a numerical example of medical diagnosis is given on the basis of the proposed hybrid similarity measures and the results are compared with the results of other existing methods to validate the applicability, simplicity and effectiveness of the proposed method.
| Author | : Kalyan Mondal |
| Publisher | : Infinite Study |
| Total Pages | : 9 |
| Release | : |
| Genre | : |
| ISBN | : |
In this paper, we introduce new type of similarity measures for single valued neutrosophic sets based on hyperbolic sine function. The new similarity measures are namely, single valued neutrosophic hyperbolic sine similarity measure and weighted single valued neutrosophic hyperbolic sine similarity measure.
| Author | : Donghai Liu |
| Publisher | : Infinite Study |
| Total Pages | : 10 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
Similarity measure is an important tool in multiple criteria decision-making problems, which can be used to measure the difference between the alternatives. In this paper, some new similarity measures of single-valued neutrosophic sets (SVNSs) and interval-valued neutrosophic sets (IVNSs) are defined based on the Euclidean distance measure, respectively, and the proposed similarity measures satisfy the axiom of the similarity measure. Furthermore, we apply the proposed similarity measures to medical diagnosis decision problem; the numerical example is used to illustrate the feasibility and effectiveness of the proposed similarity measures of SVNSs and IVNSs, which are then compared to other existing similarity measures.
| Author | : Abhijit Saha |
| Publisher | : Infinite Study |
| Total Pages | : 10 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
A single valued neutrsophic set is one of the most successful extensions of the classical set, fuzzy set, intuitionistic fuzzy set, Pythagorean fuzzy set and q-rung orthopair fuzzy set due to the fact that it can handle uncertain data in more wider way. In this paper, we introduce some new generalized weighted similarity measures based on the exponential functions defined on truth-membership function, indeterminacy membership function and falsity membership function of a single valued neutrosophic set to study the independent influences of the truthmembership function, indeterminacy membership function and falsity membership function. The salient features of these proposed similarity measures are studied in detail. Based on the proposed similarity measures, we propose a multi attribute decision making method. To show the feasibility and effectiveness of the proposed method, an investment decision making problem is demonstrated.
| Author | : Wen Jiang |
| Publisher | : Infinite Study |
| Total Pages | : 14 |
| Release | : |
| Genre | : |
| ISBN | : |
The single-valued neutrosophic set is a subclass of neutrosophi cset, and has been proposed in recent years. An important application for single-valued neutrosophic sets is to solve multicriteria decision-making problems.
| Author | : TAHIR MAHMOOD |
| Publisher | : Infinite Study |
| Total Pages | : 19 |
| Release | : |
| Genre | : |
| ISBN | : |
In this article we present three similarity measures between simplified neutrosophic hesitant fuzzy sets, which contain the concept of single valued neutrosophic hesitant fuzzy sets and interval valued neutrosophic hesitant fuzzy sets, based on the extension of Jaccard similarity measure, Dice similarity measure and Cosine similarity in the vector space.
| Author | : RIDVAN ŞAHIN |
| Publisher | : Infinite Study |
| Total Pages | : 20 |
| Release | : |
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With respect to a combination of hesitant sets, and single-valued neutrosophic sets which are a special case of neutrosophic sets, the single valued neutrosophic hesitant sets (SVNHFS) have been proposed as a new theory set that allows the truth-membership degree, indeterminacy membership degree and falsity-membership degree including a collection of crisp values between zero and one, respectively.
| Author | : Yameng Wang |
| Publisher | : Infinite Study |
| Total Pages | : 16 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
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.
