Author : Rajashi Chatterjee
Publisher : Infinite Study
Page : 16 pages
File Size : 24,80 MB
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In this paper, we have investigated single valued neutrosophic multisets in detail. Several operations have been de ned on them and their important algebraic properties are studied.We have further introduced the notion of distance and similarity measures between two single valued neutrosophic multisets. An application of single valued neutrosophic multisets in medical diagnosis has been discussed.
Author : Qingqing Hu
Publisher : Infinite Study
Page : 19 pages
File Size : 14,12 MB
Release :
Category : 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 : Changxing Fan
Publisher : Infinite Study
Page : 12 pages
File Size : 35,47 MB
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ISBN :
Based on the multiplicity evaluation in some real situations, this paper firstly introduces a single-valued neutrosophic multiset (SVNM) as a subclass of neutrosophic multiset (NM) to express the multiplicity information and the operational relations of SVNMs.
Author : Muhammad Akram
Publisher : Infinite Study
Page : 12 pages
File Size : 26,52 MB
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We apply the concept of single-valued neutrosophic sets to multigraphs, planar graphs and dual graphs. We introduce the notions of single-valued neutrosophic multigraphs, single-valued neutrosophic planar graphs, and single-valued neutrosophic dual graphs. We illustrate these concepts with examples. We also investigate some of their properties.
Author : Chao Zhang
Publisher : Infinite Study
Page : 16 pages
File Size : 27,89 MB
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In real-world diagnostic procedures, due to the limitation of human cognitive competence, a medical expert may not conveniently use some crisp numbers to express the diagnostic information, and plenty of research has indicated that generalized fuzzy numbers play a significant role in describing complex diagnostic information.
Author : Said Broumi
Publisher : Infinite Study
Page : 22 pages
File Size : 18,96 MB
Release :
Category : Mathematics
ISBN :
Multi-attribute decision making (MADM). Play an important role in many applications, due to the efficiency to handle indeterminate and inconsistent information, single valued neutrosophic sets is widely used to model indeterminate information. In this paper, a new MADM method based on neutrosophic trapezoid linguistic weighted arithmetic averaging aggregation SVNTrLWAA operator and neutrosophic trapezoid linguistic weighted geometric aggregation SVNTrLWGA operator is presented. A numerical example is presented to demonstrate the application and efficiency of the proposed method.
Author : Jun Ye
Publisher : Infinite Study
Page : 10 pages
File Size : 46,63 MB
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Based on dynamic information collected from different time intervals in some real situations, this paper firstly proposes a dynamic single valued neutrosophic multiset (DSVNM) to express dynamic information and operational relations of DSVNMs.
Author : K. Mohana
Publisher : Infinite Study
Page : 13 pages
File Size : 29,28 MB
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Category : Mathematics
ISBN :
In this paper we have obtained the similarity measures between single valued neutrosophic rough sets by analyzing the concept of its distance between them and studied its properties. Further we have studied its similarity based on its membership degrees and studied its properties. We have also defined the cardinality of two single valued neutrosophic rough sets. A numerical example in medical diagnosis is given for the proposed similarity measure of the single valued neutrosophic rough sets which helps us to prove the usefulness and flexibility of the proposed method.
Author : Florentin Smarandache
Publisher : MDPI
Page : 478 pages
File Size : 49,71 MB
Release : 2019-04-04
Category : Mathematics
ISBN : 303897384X
Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (,
Author : Suriana Alias
Publisher : Infinite Study
Page : 20 pages
File Size : 46,9 MB
Release :
Category : Mathematics
ISBN :
The concepts of rough neutrosophic multisets can be easily extended to a relation, mainly since a relation is also a set, i.e. a subset of a Cartesian product. Therefore, the objective of this paper is to define the definition of rough neutrosophic multisets relation of Cartesian product over a universal set. Some of the relation properties of rough neutrosophic multisets such as max, min, the composition of two rough neutrosophic multisets relation, inverse rough neutrosophic multisets relation, and reflexive, symmetric and transitive rough neutrosophic multisets relation over the universe are defined. Subsequently, their properties are successfully proven. Finally, the application of rough neutrosophic multisets relation for decision making in marketing strategy is presented.
