Similarity Measure of Refined Single-Valued Neutrosophic Sets and Its Multicriteria Decision Making Method PDF Download

Author: Jun Ye
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 4

View

Book Description
This paper introduces a refined single-valued neutrosophic set (RSVNS) and presents a similarity measure of RSVNSs. Then a multicriteria decisionmaking method with RSVNS information is developed based on the similarity measure of RSVNSs.

Author: FARUK KARAASLAN
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 15

View

Book Description
In this paper, we propose three similarity measure methods for single valued neutrosophic refined sets and interval neutrosophic refined sets based on Jaccard, Dice and Cosine similarity measures of single valued neutrosophic sets and interval neutrosophic sets.

Author: Surapati Pramanik
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 19

View

Book Description
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: Changxing Fan
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 12

View

Book Description
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: Qingqing Hu
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 19

View

Book Description
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: Wen Jiang
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 14

View

Book Description
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: Jiqian Chen
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 13

View

Book Description
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: Subhadip Roy
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 17

View

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: Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599734753
Category :
Languages : en
Pages :

View

Book Description
This volume is a collection of seventeen papers, written by different authors and co-authors (listed in the order of the papers): F. Smarandache, K. Bhutani, M. Kumar, G. Garg, S. Aggarwal, P. Biswas, S. Pramanik, B. C. Giri, J. Ye, A. Mukherjee, M. Datta, S. Sarkar, N. Shah, M. K. EL Gayyar, S. K. Patro, B. C. Cuong, P. H. Phong, A. A. Salama, I. M. Hanafy, H. Elghawalby and M. S. Dabash, R. Roy, P. Das, D. Mandal, Santhi R., Udhayarani N., F. Yuhua, S. A. Akinleye, A.A.A. Agboola, and J. Chen. In first paper, the authors studied Degrees of Membership > 1 and < 0 of the Elements With Respect to a Neutrosophic Off-Set. Assessing IT Projects Success with Extended Fuzz Cognitive Maps & Neutrosophic Cognitive Maps in comparison to Fuzzy Cognitive Maps are discussed in the second paper. Aggregation of triangular fuzzy neutrosophic set information and its application to multi-attribute decision making is studied in third paper. In fourth paper, Similarity Measure of Refined Single-Valued Neutrosophic Sets and Its Multicriteria Decision Making Method . Similarly in fifth paper, Restricted Interval Valued Neutrosophic Sets and Restricted Interval Valued Neutrosophic Topological Spaces is discussed. In paper six, Some Studies in Neutrosophic Graphs is studied by the author. Smooth Neutrosophic Topological Spaces is proposed in the next paper. The Neutrosophic Statistical Distribution, More Problems, More Solutions in the next paper. Further, Standard Neutrosophic Soft Theory: Some First Results are discussed by the authors in the tenth paper. In eleventh paper, Neutrosophic Crisp α-Topological Spaces have been studied by the author. In the next paper, Neutrosophic Goal Programming applied to Bank: Three Investment Problem. In thirteenth paper, Neutrosophic Hyperideals of Semihyperrings are introduced by the authors. In fourteenth paper, the author studied Nω-Closed Sets in Neutrosophic Topological Spaces. In the last paper, Expanding Comparative Literature into Comparative Sciences Clusters with Neutrosophy and Quad-stage Method. On Neutrosophic Quadruple Algebraic Structures in fifteenth paper. Sixteenth paper is about Value and ambiguity index based ranking method of single-valued trapezoidal neutrosophic numbers and its application to multiattribute decision making. Las paper is about A Projection Model of Neutrosophic Numbers for Multiple Attribute Decision Making of Clay-Brick Selection

Author: Dragisa Stanujkic
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 19

View

Book Description
As the generalization of the fuzzy and similar sets based on Fuzzy sets, neutrosophic sets provide significant possibilities in the case of solving complex decision problems, often related to uncertainty and unreliability. Neutrosophic sets use three values named the truth degree, the indeterminacy degree and the falsity degree, which allow for a more accurate evaluation of alternatives in relation to complex evaluation criteria. As a result of their application in solving numerous different decision-making problems, several approaches to their ranking have been proposed. Therefore, this paper provides a comprehensive overview of the approaches to the ranking of single-valued neutrosophic numbers and a comparison of the results obtained by using them. Finally, numerical illustrations are given.