Interval Neutrosophic Sets And Their Application In Multicriteria Decision Making Problems
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Author | : Hong-yu Zhang |
Publisher | : Infinite Study |
Total Pages | : 16 |
Release | : |
Genre | : |
ISBN | : |
As a generalization of fuzzy sets and intuitionistic fuzzy sets, neutrosophic sets have been developed to represent uncertain, imprecise, incomplete, and inconsistent information existing in the real world.
Author | : Hong-yu Zhang |
Publisher | : Infinite Study |
Total Pages | : 15 |
Release | : |
Genre | : Mathematics |
ISBN | : |
As a generalization of fuzzy sets and intuitionistic fuzzy sets, neutrosophic sets have been developed to represent uncertain, imprecise, incomplete, and inconsistent information existing in the real world. And interval neutrosophic sets (INSs) have been proposed exactly to address issues with a set of numbers in the real unit interval, not just a specific number.However, there are fewer reliable operations for INSs, as well as the INS aggregation operators and decisionmakingmethod. For this purpose, the operations for INSs are defined and a comparison approach is put forward based on the related research of interval valued intuitionistic fuzzy sets (IVIFSs) in this paper. On the basis of the operations and comparison approach, two interval neutrosophic number aggregation operators are developed. Then, amethod formulticriteria decisionmaking problems is explored applying the aggregation operators. In addition, an example is provided to illustrate the application of the proposed method.
Author | : Hong-yu Zhang |
Publisher | : Infinite Study |
Total Pages | : 16 |
Release | : |
Genre | : |
ISBN | : |
As a generalization of fuzzy sets and intuitionistic fuzzy sets, neutrosophic sets have been developed to represent uncertain, imprecise, incomplete, and inconsistent information existing in the real world.
Author | : Haibin Wang |
Publisher | : Infinite Study |
Total Pages | : 99 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : 1931233942 |
This book presents the advancements and applications of neutrosophics, which are generalizations of fuzzy logic, fuzzy set, and imprecise probability. The neutrosophic logic, neutrosophic set, neutrosophic probability, and neutrosophic statistics are increasingly used in engineering applications (especially for software and information fusion), medicine, military, cybernetics, physics.In the last chapter a soft semantic Web Services agent framework is proposed to facilitate the registration and discovery of high quality semantic Web Services agent. The intelligent inference engine module of soft semantic Web Services agent is implemented using interval neutrosophic logic.
Author | : Hai-Long Yang |
Publisher | : Infinite Study |
Total Pages | : 23 |
Release | : |
Genre | : |
ISBN | : |
Neutrosophic set (NS) was originally proposed by Smarandache to handle indeterminate and inconsistent information.
Author | : Juan-juan Peng |
Publisher | : Infinite Study |
Total Pages | : 17 |
Release | : |
Genre | : 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 | : Florentin Smarandache |
Publisher | : Infinite Study |
Total Pages | : 129 |
Release | : |
Genre | : |
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.
Author | : Florentin Smarandache |
Publisher | : Infinite Study |
Total Pages | : 970 |
Release | : 2022-09-01 |
Genre | : Mathematics |
ISBN | : |
Author | : Florentin Smarandache |
Publisher | : Infinite Study |
Total Pages | : 10 |
Release | : 2010-08-23 |
Genre | : Mathematics |
ISBN | : |
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.
Author | : Harish Garg |
Publisher | : Infinite Study |
Total Pages | : 25 |
Release | : |
Genre | : Business & Economics |
ISBN | : |
The aim of this paper is to introduce some new operators for aggregating single-valued neutrosophic (SVN) information and to apply them to solve the multi-criteria decision-making (MCDM) problems.