Author : Chunfang Liu
Publisher : Infinite Study
Page : 11 pages
File Size : 14,88 MB
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The simplified neutrosophic set (SNS) is a generalization of fuzzy set that is designed for some practical situations in which each element has truth membership function, indeterminacy membership function and falsity membership function.
Author : Jun Ye
Publisher : Infinite Study
Page : 8 pages
File Size : 19,87 MB
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Neutrosophic set is a powerful general formal framework, which generalizes the concept of the classic set, fuzzy set, interval valued fuzzy set, intuitionistic fuzzy set, and interval-valued intuitionistic fuzzy set from philosophical point of view.
Author : TAHIR MAHMOOD
Publisher : Infinite Study
Page : 20 pages
File Size : 13,99 MB
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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 : Han Yang
Publisher : Infinite Study
Page : 10 pages
File Size : 37,1 MB
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Category : Mathematics
ISBN :
Information measures play an important role in the interval neutrosophic sets (INS) theory. The main purpose of this paper is to study the similarity and entropy of INS and its application in multi-attribute decision-making. We propose a new inclusion relation between interval neutrosophic sets where the importance of the three membership functions may be different.
Author : Qingqing Hu
Publisher : Infinite Study
Page : 19 pages
File Size : 45,7 MB
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Category : Mathematics
ISBN :
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.
Author : TAHIR MAHMOOD
Publisher : Infinite Study
Page : 19 pages
File Size : 19,47 MB
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Category :
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 : Juan-juan Peng
Publisher : Infinite Study
Page : 17 pages
File Size : 12,38 MB
Release :
Category : Mathematics
ISBN :
As a variation of fuzzy sets and intuitionistic fuzzy sets, neutrosophic sets have been developed to represent uncertain, imprecise, incomplete and inconsistent information that exists in the real world. Simplified neutrosophic sets (SNSs) have been proposed for the main purpose of addressing issues with a set of specific numbers. However, there are certain problems regarding the existing operations of SNSs, as well as their aggregation operators and the comparison methods. Therefore, this paper defines the novel operations of simplified neutrosophic numbers (SNNs) and develops a comparison method based on the related research of intuitionistic fuzzy numbers. On the basis of these operations and the comparison method, some SNN aggregation operators are proposed. Additionally, an approach for multi-criteria group decision-making (MCGDM) problems is explored by applying these aggregation operators. Finally, an example to illustrate the applicability of the proposed method is provided and a comparison with some other methods is made.
Author : Jiqian Chen
Publisher : Infinite Study
Page : 13 pages
File Size : 20,13 MB
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A refined single-valued/interval neutrosophic set is very suitable for the expression and application of decision-making problems with both attributes and sub-attributes since it is described by its refined truth, indeterminacy, and falsity degrees.
Author : U. Solang
Publisher : Infinite Study
Page : 12 pages
File Size : 50,22 MB
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Category : Mathematics
ISBN :
This study extends existing methods and provides a new way for the refined simplified neutrosophic MADM problems containing both the attribute weight and the sub-attribute weights.
Author : Florentin Smarandache
Publisher : Infinite Study
Page : 133 pages
File Size : 26,31 MB
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Category : 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.
