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Author: Donghai Liu Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 10
Book Description
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: Donghai Liu Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 10
Book Description
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: Chunfang Liu Publisher: Infinite Study ISBN: Category : Languages : en Pages : 11
Book Description
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: Florentin Smarandache Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 10
Book Description
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: Subhadip Roy Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 17
Book Description
In this paper, a definition of quadripartitioned single valued bipolar neutrosophic set (QSVBNS) is introduced as a generalization of both quadripartitioned single valued neutrosophic sets (QSVNS) and bipolar neutrosophic sets (BNS). There is an inherent symmetry in the definition of QSVBNS. Some operations on them are defined and a set theoretic study is accomplished. Various similarity measures and distance measures are defined on QSVBNS. An algorithm relating to multi-criteria decision making problem is presented based on quadripartitioned bipolar weighted similarity measure. Finally, an example is shown to verify the flexibility of the given method and the advantage of considering QSVBNS in place of fuzzy sets and bipolar fuzzy sets.
Author: Cengiz Kahraman Publisher: Springer ISBN: 3030000451 Category : Technology & Engineering Languages : en Pages : 734
Book Description
This book offers a comprehensive guide to the use of neutrosophic sets in multiple criteria decision making problems. It shows how neutrosophic sets, which have been developed as an extension of fuzzy and paraconsistent logic, can help in dealing with certain types of uncertainty that classical methods could not cope with. The chapters, written by well-known researchers, report on cutting-edge methodologies they have been developing and testing on a variety of engineering problems. The book is unique in its kind as it reports for the first time and in a comprehensive manner on the joint use of neutrosophic sets together with existing decision making methods to solve multi-criteria decision-making problems, as well as other engineering problems that are complex, hard to model and/or include incomplete and vague data. By providing new ideas, suggestions and directions for the solution of complex problems in engineering and decision making, it represents an excellent guide for researchers, lecturers and postgraduate students pursuing research on neutrosophic decision making, and more in general in the area of industrial and management engineering.
Author: Xiaoman Wang Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 15
Book Description
Single-valued neutrosophic set (SVNS) handling the uncertainties characterized by truth, indeterminacy, and falsity membership degrees, is an extension of fuzzy set and intuitionistic fuzzy set. It provides a more flexible way to capture uncertainty. This paper is devoted to the disscussion of relationships among several existing similarity measures of SVNSs. In addition, it is shown that some existing similarity measures are equivalent. The comparative results of this study provide convenience for applying similarity measures of SVNSs to practical problems.
Author: KALYAN MONDAL Publisher: Infinite Study ISBN: Category : Languages : en Pages : 11
Book Description
In 2014, Broumi et al. (S. Broumi, F. Smarandache, M. Dhar, Rough neutrosophic sets, Italian Journal of Pure and Applied Mathematics, 32 (2014), 493-502.) introduced the notion of rough neutrosophic set by combining neutrosophic sets and rough sets, which has been a mathematical tool to deal with problems involving indeterminacy and incompleteness. The real world is full of indeterminacy.
Author: Said Broumi Publisher: Infinite Study ISBN: Category : Languages : en Pages : 9
Book Description
Smarandache (1995) defined the notion of neutrosophic sets, which is a generalization of Zadeh's fuzzy set and Atanassov's intuitionistic fuzzy set. In this paper, we first develop some similarity measures of neutrosophic sets.
Author: Donghai Liu 
Author: Donghai Liu 
Author: Chunfang Liu
Author: Florentin Smarandache
Author: Subhadip Roy 
Author: Cengiz Kahraman
Author: Xiaoman Wang
Author: Said Broumi
Author: Florentin Smarandache
Author: KALYAN MONDAL
Author: Said Broumi