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Wang W, Huang B, Wang T. Optimal scale selection based on multi-scale single-valued neutrosophic decision-theoretic rough set with cost-sensitivity. Int J Approx Reason 2023. [DOI: 10.1016/j.ijar.2023.02.003] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/10/2023]
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2
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Incremental approaches for optimal scale selection in dynamic multi-scale set-valued decision tables. INT J MACH LEARN CYB 2023. [DOI: 10.1007/s13042-022-01761-x] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/21/2023]
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3
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Maximal consistent block based optimal scale selection for incomplete multi-scale information systems. INT J MACH LEARN CYB 2023. [DOI: 10.1007/s13042-022-01728-y] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/11/2023]
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4
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Rule acquisition in generalized multi-scale information systems with multi-scale decisions. Int J Approx Reason 2022. [DOI: 10.1016/j.ijar.2022.12.004] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/23/2022]
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5
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Deng J, Zhan J, Ding W, Liu P, Pedrycz W. A novel prospect-theory-based three-way decision methodology in multi-scale information systems. Artif Intell Rev 2022. [DOI: 10.1007/s10462-022-10339-6] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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6
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Sequential 3WD-based local optimal scale selection in dynamic multi-scale decision information systems. Int J Approx Reason 2022. [DOI: 10.1016/j.ijar.2022.10.017] [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]
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7
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Liang M, Mi J, Zhang S, Jin C. A novel approach for ranking intuitionistic fuzzy numbers and its application to decision making. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2022. [DOI: 10.3233/jifs-221041] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Abstract
Ranking intuitionistic fuzzy numbers is an important issue in the practical application of intuitionistic fuzzy sets. Many scholars rank intuitionistic fuzzy numbers by defining different measures. These measures do not comprehensively consider the fuzzy semantics expressed by membership degree, nonmembership degree, and hesitancy degree. As a result, the ranking results are often counterintuitive, such as the indifference problems, the non-robustness problems, etc. In this paper, according to geometrical representation, a novel measure for intuitionistic fuzzy numbers is defined, which is called the ideal measure. After that, a new ranking approach is proposed. It’s proved that the ideal measure satisfies the properties of weak admissibility, membership degree robustness, nonmembership degree robustness, and determinism. A numerical example is applied to illustrate the effectiveness and feasibility of this method. Finally, using the presented approach, the optimal alternative can be acquired in multi-attribute decision-making problems. Comparison analysis shows that the ideal measure is more effective and simple than other existing methods.
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Affiliation(s)
- Meishe Liang
- Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang, P.R. China
| | - Jusheng Mi
- College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, P.R. China
| | - Shaopu Zhang
- Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang, P.R. China
| | - Chenxia Jin
- College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, P.R. China
- School of Economics and Management, Hebei University of Science and Technology, Shijiazhuang, P.R. China
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Multi-granulation-based knowledge discovery in incomplete generalized multi-scale decision systems. INT J MACH LEARN CYB 2022. [DOI: 10.1007/s13042-022-01634-3] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/14/2022]
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9
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Statistical-mean double-quantitative K-nearest neighbor classification learning based on neighborhood distance measurement. Knowl Based Syst 2022. [DOI: 10.1016/j.knosys.2022.109018] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Tong S, Sun B, Chu X, Zhang X, Wang T, Jiang C. Trust recommendation mechanism-based consensus model for Pawlak conflict analysis decision making. Int J Approx Reason 2021. [DOI: 10.1016/j.ijar.2021.05.001] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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12
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Zhang X, Gou H, Lv Z, Miao D. Double-quantitative distance measurement and classification learning based on the tri-level granular structure of neighborhood system. Knowl Based Syst 2021. [DOI: 10.1016/j.knosys.2021.106799] [Citation(s) in RCA: 30] [Impact Index Per Article: 10.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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