论文:2020,Vol:38,Issue(5):1068-1073
引用本文:
周延年, 徐彤, 胡滨. 属性相关条件下广义q-ROF TODIM决策方法[J]. 西北工业大学学报
ZHOU Yannian, XU Tong, HU Bin. Generalized q-ROF TODIM Decision-Making Method Considering Attribute Correlation[J]. Northwestern polytechnical university

属性相关条件下广义q-ROF TODIM决策方法
周延年1, 徐彤1, 胡滨2
1. 空军工程大学 防空反导学院, 陕西 西安 710043;
2. 西北工业大学 自动化学院, 陕西 西安 710072
摘要:
针对属性具有关联性的q-ROF模糊多属性决策问题,提出一种属性相关条件下广义q-ROF TODIM决策方法。依据广义TODIM决策方法,计算每个方案相对于其他方案关于各属性的收益或损失值;采用Choquet积分思想集成属性关联情形下方案关于所有属性的收益或损失值,在此基础上,计算每个方案的总体感知优势度,并依据方案的总体感知优势度的大小对方案进行排序。最后,结合实例分析了参数变化对决策结果的影响,验证了方法的可行性和有效性。
关键词:    q-ROF集    属性关联    广义TODIM方法    Choquet积分   
Generalized q-ROF TODIM Decision-Making Method Considering Attribute Correlation
ZHOU Yannian1, XU Tong1, HU Bin2
1. School of Air and Missile Defense, Air Force Engineering University, Xi'an 710043, China;
2. School of Automation, Northwestern Polytechnical University, Xi'an 710072, China
Abstract:
Aiming at solving the problem of q-ROF fuzzy multi-attribute decision-making with attribute relevance, a generalized q-ROF TODIM decision-making method considering attribute correlation is proposed in this paper. According to the generalized TODIM decision method, the profit or loss values of each scheme relative to other schemes are calculated, and the idea of Choquet integral is used to integrate the income or loss values of all attributes of the scheme in the case of attribute association, the overall perceived dominance of each scheme is calculated, and the alternative schemes are ranked according to the overall perceived dominance of the scheme. Finally, combined with an example, the influence of parameter changed on the decision-making results is analyzed, and the feasibility and effectiveness of the method are verified.
Key words:    q-ROF set    correlated attributes    generalized TODIM method    Choquet integral    decision making   
收稿日期: 2019-12-20     修回日期:
DOI: 10.1051/jnwpu/20203851068
通讯作者:     Email:
作者简介: 周延年(1981-),空军工程大学博士研究生,主要从事机器学习、信号处理研究。
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参考文献:
[1] ZADEH L A. Fuzzy Sets[J]. Information and Control, 1965, 8(3):338-353
[2] TURKSEN I B. Interval Valued Fuzzy Sets Based on Normal Forms[J]. Fuzzy Sets and Systems,1986, 20:191-210
[3] ATANASSOV K T. Intuitionistic Fuzzy Sets[J]. Fuzzy Sets and Systems,1986,20(1):87-96
[4] HU J H, XIAO K L, CHEN X H, et al. Interval Type-2 Hesitant Fuzzy Set and Its Application in Multi-Criteria Decision Making[J]. Computers & Industrial Engineering, 2015, 87:91-103
[5] YAGER R. Pythagorean Membership Grades in Multicriteria Decision Making[J]. IEEE Trans on Fuzzy Systems, 2014, 22(4):958-965
[6] YAGER R. Generalized Orthopair Fuzzy Sets[J]. IEEE Trans on Fuzzy Systems, 2017, 25(5):1222-1230
[7] WEI G W, WEI C, WANG J, et al. Some Q-Rung Orthopair Fuzzy Maclaurin Symmetric Mean Operators and Their Applications to Potential Evaluation of Emerging Technology Commercialization[J]. Int J Intell Syst, 2019, 34:50-81
[8] YANG W, PANG Y F. New Q-Rung Orthopair Fuzzy Partitioned Bonferroni Mean Operators and Their Application in Multiple Attribute Decision Making[J]. Int J Intell Syst, 2019, 34:439-476
[9] WANG J, GAO H, WEI G W, et al. Methods for Multiple-Attribute Group Decision Making with Q-Rung Interval-Valued Orthopair Fuzzy Information and Their Applications to the Selection of Green Suppliers[J]. Symmetry, 2019, 11:1-27
[10] LIU P D, LIU W Q. Multiple-Attribute Group Decision-Making Based on Power Bonferroni Operators of Linguistic Q-Rung Orthopair Fuzzy Numbers[J]. Int J Intell Syst, 2019, 34:652-689
[11] WANG P, WANG J, WEI G, WEI C. Similarity Measures of Q-Rung Orthopair Fuzzy Sets Based on Cosine Function and Their Applications[J]. Mathematics, 2019:7, 1-23
[12] 徐玥,刘练珍. q阶犹豫模糊集及其在决策中的应用[J],模式识别与人工智能,2018,31(9):816-836 XU Yue, LIU Lianzhen. Q-Rung Hesitant Fuzzy Sets and Its Application to Multi-Criteria Decision-Making[J], Pattern Recognition and Artificial Intelligence,2018, 31(9):816-836(in Chinese)
[13] LIU Peide, WANG Peng. Multiple-Attribute Decision Making Based on Archimedean Bonferroni Operators of Q-Rung Orthopair Fuzzy Numbers[J]. IEEE Trans on Fuzzy Systems, 2019, 27(5):834-848
[14] JIE W, WEI G W, WEI C, et al. MABAC Method for Multiple Attribute Group Decision Making under Qrung Orthopair Fuzzy Environment[J]. Defence Technology, 2019, 16:208-216
[15] GOMES L, LIMA M. TODIM:Basic and Application to Multicriteria Ranking of Projects with Environmental Impacts[J]. Foundations of Computing and Decision Sciences, 1991, 16(3):113-127
[16] HUANG Y H, WEI G W. TODIM Method for Pythagorean 2-Tuple Linguistic Multiple Attribute Decision Making[J]. Journal of Intelligent and Fuzzy Systems, 2018, 35(1):901-915
[17] LI Y W, SHAN Y Q, LIU P O. An Extended TODIM Method for Group Decision Making with the Interval Intuitionistic Fuzzy Sets[J]. Math Probl Eng, 2015, 6:1-9
[18] 梁霞, 刘政敏, 刘培德. 基于广义Choquet积分的Pythagorean不确定语言TODIM方法及其应用[J]. 控制与决策, 2018, 33(7):1303-1312 LIANG Xia, LIU Zhengmin, LIU Peide. Pythagorean Uncertain Linguistic TODIM Method Based on Generalized Choquet Integral and Its Application[J]. Control and Decision, 2018, 33(7):1303-1312(in Chinese)
[19] LIAMAZARES B. An Analysis of the Generalized TODIM Method[J]. European Journal of Operational Research, 2018, 269(3):1041-1049
[20] 刘熠,秦亚,刘好斌, 等. 广义q-ROF TODIM方法及应用[J]. 控制与决策, 2020, 35(8):2021-2028 LIU Yi, QIN Ya, LIU Haobin, et al. Generalized q-ROF TODIM Method and Its Application[J]. Control and Decision, 2020, 35(8):2021-2028(in Chinese)
[21] 梁霞,姜艳萍,梁海明. 考虑属性关联的C-TODIM决策方法[J]. 运筹与管理,2015,24(2):101-107 LIANG Xia, JIANG Yanping, LIANG Haiming. C-TODIM Decision Making Method Considering Correlated Attributes[J]. Operations Research and Management Science, 2015, 24(2):101-107(in Chinese)
[22] 张永政,叶春明,耿秀丽,等. 基于犹豫模糊广义Choquet积分的风险型供应商选择方法[J].工业工程与管理,2019,24(4):47-54 ZHANG Yongzheng, YE Chunming, CENG Xiuli, et al. A Risky Supplier Selection Approach Based on Hesitant Fuzzy Generalized Choquet Integral[J]. Industrial Engineering Management, 2019, 24(4):47-54(in Chinese)