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Mishra AR, Rani P, Prajapati RS. Multi-criteria weighted aggregated sum product assessment method for sustainable biomass crop selection problem using single-valued neutrosophic sets. Appl Soft Comput 2021. [DOI: 10.1016/j.asoc.2021.108038] [Citation(s) in RCA: 11] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/17/2022]
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Ye J. Similarity measures based on the generalized distance of neutrosophic Z-number sets and their multi-attribute decision making method. Soft comput 2021. [DOI: 10.1007/s00500-021-06199-x] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/08/2023]
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Mishra AR, Rani P, Saha A. Single‐valued neutrosophic similarity measure‐based additive ratio assessment framework for optimal site selection of electric vehicle charging station. INT J INTELL SYST 2021. [DOI: 10.1002/int.22523] [Citation(s) in RCA: 18] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/11/2022]
Affiliation(s)
- Arunodaya Raj Mishra
- Department of Mathematics Government College Jaitwara Satna Madhya Pradesh India
| | - Pratibha Rani
- Department of Mathematics National Institute of Technology Warangal Telangana India
| | - Abhijit Saha
- Department of Mathematics Techno College of Engineering Agartala Agartala Tripura India
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Similarity Measures of Quadripartitioned Single Valued Bipolar Neutrosophic Sets and Its Application in Multi-Criteria Decision Making Problems. Symmetry (Basel) 2020. [DOI: 10.3390/sym12061012] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022] Open
Abstract
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.
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Refaat R, El-Henawy IM. Innovative method to evaluate quality management system audit results’ using single value neutrosophic number. COGN SYST RES 2019. [DOI: 10.1016/j.cogsys.2018.10.014] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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Karaşan A, Boltürk E, Kahraman C. A novel neutrosophic CODAS method: Selection among wind energy plant locations. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2019. [DOI: 10.3233/jifs-181255] [Citation(s) in RCA: 21] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Ali Karaşan
- Institute of Natural and Applied Sciences, Yildiz Technical University, Esenler, Istanbul, Turkey
- Department of Industrial Engineering, Istanbul Technical University, Macka, Istanbul, Turkey
| | - Eda Boltürk
- Department of Industrial Engineering, Istanbul Technical University, Macka, Istanbul, Turkey
| | - Cengiz Kahraman
- Department of Industrial Engineering, Istanbul Technical University, Macka, Istanbul, Turkey
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Abstract
Multi-attribute decision-making refers to the decision-making problem of selecting the optimal alternative or sorting the scheme when considering multiple attributes, which is widely used in engineering design, economy, management and military, etc. But in real application, the attribute information of many objects is often inaccurate or uncertain, so it is very important for us to find a useful and efficient method to solve the problem. Neutrosophic set is proposed from philosophical point of view to handle inaccurate information efficiently, and a single-valued neutrosophic set (SVNS) is a special case of neutrosophic set, which is widely used in actual application fields. In this paper, a new method based on single-valued neutrosophic sets aggregation to solve multi-attribute decision making problem is proposed. Firstly, the neutrosophic decision matrix is obtained by expert assessment, a score function of single-valued neutrosophic sets (SVNSs) is defined to obtain the positive ideal solution (PIS) and the negative ideal solution (NIS). Then all alternatives are aggregated based on TOPSIS method to make decision. Finally numerical examples are given to verify the feasibility and rationality of the method.
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A Novel Method for Determining the Attribute Weights in the Multiple Attribute Decision-Making with Neutrosophic Information through Maximizing the Generalized Single-Valued Neutrosophic Deviation. INFORMATION 2018. [DOI: 10.3390/info9060137] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022] Open
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Pramanik S, Dalapati S, Alam S, Smarandache F, Roy TK. NC-Cross Entropy Based MADM Strategy in Neutrosophic Cubic Set Environment. MATHEMATICS 2018. [DOI: https://doi.org/10.3390/math6050067] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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NC-Cross Entropy Based MADM Strategy in Neutrosophic Cubic Set Environment. MATHEMATICS 2018. [DOI: 10.3390/math6050067] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/05/2023]
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An Extension of Neutrosophic AHP–SWOT Analysis for Strategic Planning and Decision-Making. Symmetry (Basel) 2018. [DOI: 10.3390/sym10040116] [Citation(s) in RCA: 91] [Impact Index Per Article: 15.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022] Open
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New Multiple Attribute Decision Making Method Based on DEMATEL and TOPSIS for Multi-Valued Interval Neutrosophic Sets. Symmetry (Basel) 2018. [DOI: 10.3390/sym10040115] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022] Open
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Pramanik S, Dalapati S, Alam S, Smarandache F, Roy T. NS-Cross Entropy-Based MAGDM under Single-Valued Neutrosophic Set Environment. INFORMATION 2018. [DOI: https://doi.org/10.3390/info9020037] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022] Open
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