Journal of Computer Applications ›› 2022, Vol. 42 ›› Issue (8): 2369-2377.DOI: 10.11772/j.issn.1001-9081.2021050872
Special Issue: 人工智能
• Artificial intelligence • Previous Articles Next Articles
Yicong LIU1, Junfeng CHU1,2(), Yanyan WANG3, Yingming WANG1,2
Received:
2021-05-28
Revised:
2021-09-18
Accepted:
2021-09-22
Online:
2021-09-18
Published:
2022-08-10
Contact:
Junfeng CHU
About author:
LIU Yicong, born in 1997, M. S. candidate. Her research interests include group decision-making, social network analysis.Supported by:
通讯作者:
楚俊峰
作者简介:
刘议聪(1997—),女,河南驻马店人,硕士研究生,主要研究方向:群体决策、社会网络分析;基金资助:
CLC Number:
Yicong LIU, Junfeng CHU, Yanyan WANG, Yingming WANG. TODIM group decision-making method under trust network[J]. Journal of Computer Applications, 2022, 42(8): 2369-2377.
刘议聪, 楚俊峰, 王燕燕, 王应明. 信任网络下的TODIM群体决策方法[J]. 《计算机应用》唯一官方网站, 2022, 42(8): 2369-2377.
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URL: https://www.joca.cn/EN/10.11772/j.issn.1001-9081.2021050872
0.00 | 0.32 | 0.18 | 0.26 | 0.26 | 0.26 | |
-3.16 | 0.00 | -2.58 | -1.83 | -1.83 | -1.83 | |
-1.83 | 0.26 | 0.00 | 0.18 | 0.18 | 0.18 | |
-2.58 | 0.18 | -1.83 | 0.00 | 0.00 | 0.00 | |
-2.58 | 0.18 | -1.83 | 0.00 | 0.00 | 0.00 | |
-2.58 | 0.18 | -1.83 | 0.00 | 0.00 | 0.00 |
Tab. 1 Dominance degree of Ai over Ak when trustee e2 targets c1 with N=0
0.00 | 0.32 | 0.18 | 0.26 | 0.26 | 0.26 | |
-3.16 | 0.00 | -2.58 | -1.83 | -1.83 | -1.83 | |
-1.83 | 0.26 | 0.00 | 0.18 | 0.18 | 0.18 | |
-2.58 | 0.18 | -1.83 | 0.00 | 0.00 | 0.00 | |
-2.58 | 0.18 | -1.83 | 0.00 | 0.00 | 0.00 | |
-2.58 | 0.18 | -1.83 | 0.00 | 0.00 | 0.00 |
0.00 | 0.00 | 0.18 | 0.26 | 0.26 | -1.83 | |
0.00 | 0.00 | 0.18 | 0.26 | 0.26 | -1.83 | |
-1.83 | -1.83 | 0.00 | 0.18 | 0.18 | -2.58 | |
-2.58 | -2.58 | -1.83 | 0.00 | 0.00 | -3.16 | |
-2.58 | -2.58 | -1.83 | 0.00 | 0.00 | -3.16 | |
0.18 | 0.18 | 0.26 | 0.32 | 0.32 | 0.00 |
Tab. 2 Dominance degree of Ai over Ak when expert e3 targets c1 with N=0
0.00 | 0.00 | 0.18 | 0.26 | 0.26 | -1.83 | |
0.00 | 0.00 | 0.18 | 0.26 | 0.26 | -1.83 | |
-1.83 | -1.83 | 0.00 | 0.18 | 0.18 | -2.58 | |
-2.58 | -2.58 | -1.83 | 0.00 | 0.00 | -3.16 | |
-2.58 | -2.58 | -1.83 | 0.00 | 0.00 | -3.16 | |
0.18 | 0.18 | 0.26 | 0.32 | 0.32 | 0.00 |
0.00 | -3.39 | -4.19 | -5.76 | -5.46 | -5.13 | |
-4.51 | 0.00 | -3.82 | -7.44 | -5.11 | -7.61 | |
-4.51 | -2.84 | 0.00 | -6.08 | -3.97 | -5.65 | |
-4.14 | -0.05 | -2.09 | 0.00 | -2.36 | -2.54 | |
-3.87 | -2.26 | -2.23 | -3.75 | 0.00 | -5.22 | |
-3.21 | -0.83 | -4.10 | -1.92 | -3.41 | 0.00 |
Tab. 3 Comprehensive dominance degree of trustee e2 to Ai over Ak with N=0
0.00 | -3.39 | -4.19 | -5.76 | -5.46 | -5.13 | |
-4.51 | 0.00 | -3.82 | -7.44 | -5.11 | -7.61 | |
-4.51 | -2.84 | 0.00 | -6.08 | -3.97 | -5.65 | |
-4.14 | -0.05 | -2.09 | 0.00 | -2.36 | -2.54 | |
-3.87 | -2.26 | -2.23 | -3.75 | 0.00 | -5.22 | |
-3.21 | -0.83 | -4.10 | -1.92 | -3.41 | 0.00 |
0.00 | 0.82 | -3.93 | -6.93 | -7.42 | -7.28 | |
-3.87 | 0.00 | -6.82 | -8.39 | -8.96 | -9.81 | |
-1.55 | 1.05 | 0.00 | -4.91 | -6.33 | -6.60 | |
-1.19 | -0.88 | -2.02 | 0.00 | -2.33 | -5.27 | |
-1.23 | -0.91 | -3.97 | -3.79 | 0.00 | -4.79 | |
1.01 | 1.53 | -1.43 | -4.94 | -4.33 | 0.00 |
Tab. 4 Initial comprehensive dominance degree of expert e3 to Ai over Ak with N=1
0.00 | 0.82 | -3.93 | -6.93 | -7.42 | -7.28 | |
-3.87 | 0.00 | -6.82 | -8.39 | -8.96 | -9.81 | |
-1.55 | 1.05 | 0.00 | -4.91 | -6.33 | -6.60 | |
-1.19 | -0.88 | -2.02 | 0.00 | -2.33 | -5.27 | |
-1.23 | -0.91 | -3.97 | -3.79 | 0.00 | -4.79 | |
1.01 | 1.53 | -1.43 | -4.94 | -4.33 | 0.00 |
0.00 | 0.40 | -3.96 | -6.81 | -7.22 | -7.06 | |
-3.94 | 0.00 | -6.52 | -8.29 | -8.58 | -9.59 | |
-1.84 | 0.66 | 0.00 | -5.03 | -6.10 | -6.50 | |
-1.48 | -0.79 | -2.02 | 0.00 | -2.33 | -4.99 | |
-1.50 | -1.04 | -3.79 | -3.78 | 0.00 | -4.83 | |
0.59 | 1.30 | -1.70 | -4.64 | -4.23 | 0.00 |
Tab. 5 Comprehensive dominance degree of αbased expert e3 to Ai to Ak with N=1
0.00 | 0.40 | -3.96 | -6.81 | -7.22 | -7.06 | |
-3.94 | 0.00 | -6.52 | -8.29 | -8.58 | -9.59 | |
-1.84 | 0.66 | 0.00 | -5.03 | -6.10 | -6.50 | |
-1.48 | -0.79 | -2.02 | 0.00 | -2.33 | -4.99 | |
-1.50 | -1.04 | -3.79 | -3.78 | 0.00 | -4.83 | |
0.59 | 1.30 | -1.70 | -4.64 | -4.23 | 0.00 |
0.74 | 1.00 | 0.45 | 0.13 | 0.14 | 0.00 |
Tab. 6 Overall dominance degree of expert e3 to alternatives with N=1
0.74 | 1.00 | 0.45 | 0.13 | 0.14 | 0.00 |
1.00 | 0.73 | 0.94 | 0.61 | 0.03 | 0.00 |
Tab. 7 Overall dominance degree of Xˉ*5 with N=5
1.00 | 0.73 | 0.94 | 0.61 | 0.03 | 0.00 |
0.83 | 1.00 | 0.72 | 0.20 | 0.41 | 0.00 |
Tab. 8 Overall dominance degree of X*0
0.83 | 1.00 | 0.72 | 0.20 | 0.41 | 0.00 |
0.80 | 1.00 | 0.66 | 0.00 | 0.25 |
Tab. 9 Overall dominance degree of TODIM group decision-making method
0.80 | 1.00 | 0.66 | 0.00 | 0.25 |
0.85 | 0.46 | 1.00 | 0.05 | 0.00 |
Tab. 10 Overall dominance degree of interactive TODIM group decision-making under trust network
0.85 | 0.46 | 1.00 | 0.05 | 0.00 |
1 | HOCHBAUM D S, LEVIN A. Methodologies and algorithms for group-rankings decision[J]. Management Science, 2006, 52(9): 1394-1408. 10.1287/mnsc.1060.0540 |
2 | WALLENIUS J, DYER J S, FISHBURN P C, et al. Multiple criteria decision making, multiattribute utility theory: recent accomplishments and what lies ahead[J]. Management Science, 2008, 54(7): 1336-1349. 10.1287/mnsc.1070.0838 |
3 | MERIGÓ J M, XU Y J, ZENG S Z. Group decision making with distance measures and probabilistic information[J]. Knowledge-Based Systems, 2013, 40: 81-87. 10.1016/j.knosys.2012.11.014 |
4 | BAUCELLS M, SARIN R K. Group decisions with multiple criteria[J]. Management Science, 2003, 49(8): 1105-1118. 10.1287/mnsc.49.8.1105.16400 |
5 | HERRERA-VIEDMA E, ALONSO S, CHICLANA F, et al. A consensus model for group decision making with incomplete fuzzy preference relations[J]. IEEE Transactions on Fuzzy Systems, 2007, 15(5): 863-877. 10.1109/tfuzz.2006.889952 |
6 | 袁宇翔,孙静春.多粒度语言信息的交互式多属性群决策方法及应用[J].运筹与管理, 2019, 28(6): 25-32. |
YUAN Y X, SUN J C. Interactive multi-attribute group decision making with multi- granularity linguistic information and its application[J]. Operations Research and Management Science, 2019, 28(6): 25-32. | |
7 | 杨雷,杨洋.决策要素动态变化的群体决策偏好演化过程[J].系统工程理论与实践, 2014, 34(9): 2302-2311. 10.12011/1000-6788(2014)9-2302 |
YANG L, YANG Y. The preference evolution process of group decision-making with dynamic decision factors[J]. Systems Engineering — Theory and Practice, 2014, 34(9): 2302-2311. 10.12011/1000-6788(2014)9-2302 | |
8 | 孟波,王浣尘,付微.一种交互式多目标满意群决策方法[J].系统工程与电子技术, 1993(9): 27-32. 10.3321/j.issn:1001-506X.1993.09.005 |
MENG B, WANG H C, FU W. An interactive group multiobjective satisfying decision making method[J]. Systems Engineering and Electronics, 1993(9): 27-32. 10.3321/j.issn:1001-506X.1993.09.005 | |
9 | 徐泽水.基于残缺互补判断矩阵的交互式群决策方法[J].控制与决策, 2005, 20(8): 913-916. 10.3321/j.issn:1001-0920.2005.08.015 |
XU Z S. Interactive approach based on incomplete complementary judgement matrices to group decision making[J]. Control and Decision, 2005, 20(8): 913-916. 10.3321/j.issn:1001-0920.2005.08.015 | |
10 | 杜娟,霍佳震.交互式多属性群决策评价方法研究[J].中国管理科学, 2016, 24(11): 120-128. |
DU J, HUO J Z. A study on the interactive evaluation in multiple attribute group decision making[J]. Chinese Journal of Management Science, 2016, 24(11): 120-128. | |
11 | YANG S J H, CHEN I Y L. A social network-based system for supporting interactive collaboration in knowledge sharing over peer-to-peer network[J]. International Journal of Human-Computer Studies, 2008, 66(1): 36-50. 10.1016/j.ijhcs.2007.08.005 |
12 | WU J, CHICLANA F, FUJITA H, et al. A visual interaction consensus model for social network group decision making with trust propagation[J]. Knowledge-Based Systems, 2017, 122: 39-50. 10.1016/j.knosys.2017.01.031 |
13 | WU J, CHANG J L, CAO Q W, et al. A trust propagation and collaborative filtering based method for incomplete information in social network group decision making with type-2 linguistic trust[J]. Computers and Industrial Engineering, 2019, 127: 853-864. 10.1016/j.cie.2018.11.020 |
14 | LIU Y J, LIANG C Y, CHICLANA F, et al. A trust induced recommendation mechanism for reaching consensus in group decision making[J]. Knowledge-Based Systems, 2017, 119: 221-231. 10.1016/j.knosys.2016.12.014 |
15 | VICTOR P, CORNELIS C, DE COCK M, et al. Gradual trust and distrust in recommender systems[J]. Fuzzy Sets and Systems, 2009, 160(10): 1367-1382. 10.1016/j.fss.2008.11.014 |
16 | GOMES L F A M, LIMA M M P P. TODIM: basic and application to multicriteria ranking of projects with environmental impacts[J]. Foundations of Computing and Decision Sciences, 1991, 16(3/4): 113-127. |
17 | 樊治平,陈发动,张晓.考虑决策者心理行为的区间数多属性决策方法[J].东北大学学报(自然科学版), 2011, 32(1): 136-139. |
FAN Z P, CHEN F D, ZHANG X. Method for interval multiple attribute decision-making considering decision-maker's psychological behavior[J]. Journal of Northeastern University (Natural Science), 2011, 32(1): 136-139. | |
18 | 刘议聪,楚俊峰,王燕燕.基于信任关系的TODIM群体多属性决策方法[J].计算机工程与应用, 2022, 58(3): 187-194. 10.3778/j.issn.1002-8331.2008-0159 |
LIU Y C, CHU J F, WANG Y Y. TODIM group multi-attribute decision-making method based on trust relationship[J]. Computer Engineering and Applications, 2022, 58(3): 187-194. 10.3778/j.issn.1002-8331.2008-0159 | |
19 | WU Q, LIU X W, QIN J D, et al. A linguistic distribution behavioral multi-criteria group decision making model integrating extended generalized TODIM and quantum decision theory[J]. Applied Soft Computing, 2021, 98: No.106757. 10.1016/j.asoc.2020.106757 |
20 | 楚俊峰.考虑社会网络的模糊群决策方法及其商务推荐应用[D].南京:东南大学, 2017: 27-56. |
CHU J F. Fuzzy group decision making method considering social network and application in business recommendation[D]. Nanjing: Southeast University, 2017: 27-56. |
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