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运筹学学报 >

2017 , Vol. 21 >Issue 2: 110 - 118

DOI: https://doi.org/10.15960/j.cnki.issn.1007-6093.2017.02.012

运筹学

基于单值中智集Choquet积分算子的群决策方法

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  • 1. 曲阜师范大学管理学院, 山东日照 276800; 2. 扬州大学数学科学学院, 江苏扬州 225002

收稿日期: 2017-03-28

  网络出版日期: 2017-06-15

基金资助

国家自然科学基金(No. 71371107)

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Group decision making method based on single valued neutrosophic Choquet integral operator

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  • 1. College of Operations and Management, Qufu Normal University, Rizhao 276800, Shandong, China; 2. College of Mathematical Science, Yangzhou University, Yangzhou 225002, Jiangsu, China

Received date: 2017-03-28

  Online published: 2017-06-15

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摘要

单值中智集不仅能描述现实决策系统中不完整信息而且能描述不确定性和不一致信息, 已有关于单值中智集的决策方法只能用来解决属性间相互独立的多属性决策问题. 考虑到Choquet积分算子的特点, 将Choquet积分算子应用到单值中智集中, 用以解决属性间有关联关系的多属性群决策问题. 首先应用单值中智集余弦相似度比较方法, 提出了单值中智集Choquet积分算子, 研究了其性质. 然后建立了基于单值中智集Choquet积分算子的多属性群决策方法. 最后通过实例分析说明了算法的可行性和有效性.

关键词： 多属性群决策; 单值中智集; Choquet 积分; 集结算子

本文引用格式

韩莉莉, 魏翠萍 . 基于单值中智集Choquet积分算子的群决策方法[J]. 运筹学学报, 2017 , 21(2) : 110 -118 . DOI: 10.15960/j.cnki.issn.1007-6093.2017.02.012

Abstract

Single valued neutrosophic set (SVNS) depicts not only the incomplete information, but also the indeterminate information and inconsistent information which exist commonly in belief systems. The existing decision making methods for SVNS consider the case that the attributes are independent, and cannot handle the correlation among attributes. Based on the Choquet integral and the cosine similarity degree of single valued neutrosophic number, we propose an operator to aggregate single valued neutrosophic numbers (SVNNs), which can deal with the single valued neutrosophic information with connective attributes. By using the proposed single valued neutrosophic Choquet integral operator, an approach is given for the multi-attribute group decision making problems with SVNNs. An example is showed to illustrate the validity and applicability of the proposed method.

Key words： multi-attribute group decision making; single valued neutrosophic sets; Choquet integral; aggregation operators

参考文献

[1] Zadeh L A. Fuzzy sets [J]. Information and Control, 1965, 8(3): 338-356.
[2] Atanassov K. Intuitionistic fuzzy sets [J]. Fuzzy Sets and Systems, 1986, 20(1): 87-96.
[3] Atanassov K, Gargov G. Interval-valued intuitionistic fuzzy sets [J]. Fuzzy Sets and Systems, 1989, 31(3): 343-349.
[4] Smarandache F. A unifying field in logics [M]//Neutrosophy: Neutrosophic Probability, Set & Logic. Rehoboth: American Research Press, 1999.
[5] Sengur A, Guo Y. Color texture image segmentation based on neutrosophic set and wavelet transformation [J]. Computer Vision and Image Understanding, 2011, 115: 1134-1144.
[6] Cheng H D, Guo Y. A new neutrosophic approach to image thresholding [J].  New Mathematics and Natural Computation, 2008, 4(3): 291-308.
[7] Guo Y, Cheng H D. New neutrosophic approach to image segmentation [J]. Pattern Recognition,  2009, 42: 587-595.
[8] Liu P D, Shi L L. The generalized hybrid weighted average operator based on interval neutrosophic hesitant set and its application to multiple attribute decision making [J].  Neural Computing and Applications, 2015, 26(2): 457-471.
[9] Liu P D, Wang Y M. Multiple attribute decision-making method based on single valued neutrosophic normalized weighted bonferroni mean [J]. Neural Computing and Applications, 2014, 25(7-8): 2001-2010.
[10] Liu P D, Tang G L. Some power generalized aggregation operators based on the interval neutrosophic numbers and their application to decision making [J].  Journal of Intelligent &  Fuzzy Systems, 2016, 30: 2517-2528.
[11] Wang H, Smarandache F, Zhang Y, et al. Single valued neutrosophic sets [C]//Proceedings Of 10th International Conference on Fuzzy Theory and Technology. 2005, 21-26.
[12] Wang H, Smarandache F, Zhang Y Q, et al. Single valued neutrosophic sets [J]. Multispace and Multistructure, 2010, 4: 410-413.
[13] Wang H, Smarandache F, Zhang Y Q, et al. Interval neutrosophic sets and logic: theory and applications in computing [J]. Computer Science, 2005, 65(4): vi, 87.
[14] Ye J. Multicriteria decision-making method using the correlation coefficient under single-valued neutrosophic environment [J]. International Journal of General Systems, 2013, 42(4): 386-394.
[15] Ye J. A multicriteria decision-making method using aggregation operators for simplified neutrosophic sets [J]. Journal of Intelligent & Fuzzy Systems, 2014, 26(5): 2459-2466.
[16] Ye J. Single valued neutrosophic cross-entropy for multicriteria decision making problems [J]. Applied Mathematical Modelling, 2014, 38: 1170-1175.
[17] Ma Y X, Wang J Q, Wu X H. An interval neutrosophic linguistic multi-criteria group decision-making method and its application in selecting medical treatment options [J]. Neural Computing and Applications, DOI: 10.1007/s00521-016-2203-1, 2016.
[18] Wang J Q, Yang Y, Li L. Multi-criteria decision-making method based on single valued neutro--sophic linguistic Maclaurin symmetric mean operators [J]. Neural Computing and Applications, DOI: 10.1007/s00521-016-2747-0, 2016.
[19] Wang J Q, Li X E. TODIM method with multi-value neutrosophic sets [J]. Control and Decision, 2015, 30(6): 1139-1142.
[20] Choquet G. Theory of capacities [J]. Annales de I'institut Fourier, 1953, 5: 131-295.
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