[1]ZHANG Nan,JIANG Lili,YUE Xiaodong,et al.Utility-based three-way decisions model[J].CAAI Transactions on Intelligent Systems,2016,11(4):459-468.[doi:10.11992/tis.201606010]
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Utility-based three-way decisions model
CAAI Transactions on Intelligent Systems[ISSN 1673-4785/CN 23-1538/TP] Volume:
11
Number of periods:
2016 4
Page number:
459-468
Column:
学术论文—智能系统
Public date:
2016-07-25
- Title:
- Utility-based three-way decisions model
- CLC:
- TP181
- DOI:
- 10.11992/tis.201606010
- Abstract:
- Risk decisions are usually influenced by subjective and objective factors. During the process of decision-making, decisions are based not only on the objective risk but also on the subjective activity of decision-makers. In order to introduce decision-makers’ subjective attitudes to risk, a model of utility-based three-way decisions (UTWD) was produced by extending the risk function to a utility function. The monotonic relationships between the utility and probabilities of objects in three regions were investigated systematically. The computational methods for positive region utility, boundary region utility, and negative region utility are also given. Finally, an example is given to substantiate the conceptual arguments. The model is an extension of three-way decisions and provides a beneficial investigation into subjective risk measures in three-way decision research.
- References:
-
[1] LIU Dun, LIANG Decui, WANG Changchun. A novel three-way decision model based on incomplete information system[J]. Knowledge-based systems, 2016, 91:32-45.
[2] LIANG Decui, PEDRYCZ W, LIU Dun, et al. Three-way decisions based on decision-theoretic rough sets under linguistic assessment with the aid of group decision making[J]. Applied soft computing, 2015, 29:256-269.
[3] LIU Dun, LI Tianrui, ZHANG Junbo. Incremental updating approximations in probabilistic rough sets under the variation of attributes[J]. Knowledge-based systems, 2015, 73:81-96.
[4] MIN Fan, HE Huaping, QIAN Yuhua, et al. Test-cost-sensitive attribute reduction[J]. Information sciences, 2011, 181(22):4928-4942.
[5] ZHANG Hengru, MIN Fan. Three-way recommender systems based on random forests[J]. Knowledge-based systems, 2016, 91:275-286.
[6] DENG Xiaofei, YAO Yiyu. Decision-theoretic three-way approximations of fuzzy sets[J]. Information sciences, 2014, 279:702-715.
[7] DENG Xiaofei, YAO Yiyu. A multifaceted analysis of probabilistic three-way decisions[J]. Fundamenta informaticae, 2014, 132(3):291-313.
[8] YAO Yiyu. Three-way decisions with probabilistic rough sets[J]. Information sciences, 2010, 180(3):341-353.
[9] ZHANG Xianyong, MIAO Duoqian. Reduction target structure-based hierarchical attribute reduction for two-category decision-theoretic rough sets[J]. Information sciences, 2014, 277:755-776.
[10] HERBERT J P, YAO Jingtao. Game-theoretic rough sets[J]. Fundamenta informaticae, 2011, 108(3/4):267-286.
[11] ZHOU Bing, YAO Yiyu, LUO Jigang. Cost-sensitive three-way email spam filtering[J]. Journal of intelligent information systems, 2014, 42(1):19-45.
[12] HU Baoqing. Three-way decision spaces based on partially ordered sets and three-way decisions based on hesitant fuzzy sets[J]. Knowledge-based systems, 2016, 91:16-31.
[13] 李华雄, 周献中, 李天瑞, 等. 决策粗糙集理论及其研究进展[M]. 北京:科学出版社, 2011.
[14] 贾修一, 商琳, 周献中, 等. 三支决策理论与应用[M]. 南京:南京大学出版社, 2012.
[15] YANG Xiaoping, YAO Jingtao. Modelling multi-agent three-way decisions with decision-theoretic rough sets[J]. Fundamenta informaticae, 2012, 115(2/3):157-171.
[16] MA Xi’ao, WANG Guoyin, YU Hong, et al. Decision region distribution preservation reduction in decision-theoretic rough set model[J]. Information sciences, 2014, 278:614-640.
[17] YU Hong, LIU Zhanguo, WANG Guoyin. An automatic method to determine the number of clusters using decision-theoretic rough set[J]. International journal of approximate reasoning, 2014, 55(1):101-115.
[18] 贾修一, 李伟湋, 商琳, 等. 一种自适应求三枝决策中决策阈值的算法[J]. 电子学报, 2011, 39(11):2520-2525. JIA Xiuyi, LI Weiwei, SHANG Lin, et al. An adaptive learning parameters algorithm in three-way decision-theoretic rough set model[J]. Acta electronica sinica, 2011, 39(11):2520-2525.
[19] LIU Dun, LI Tianrui, LIANG Decui. Incorporating logistic regression to decision-theoretic rough sets for classifications[J]. International journal of approximate reasoning, 2014, 55(1):197-210.
[20] 刘盾, 李天瑞, 苗夺谦, 等. 三支决策与粒计算[M]. 北京:科学出版社, 2013.
[21] YAO Yiyu, WONG S K M, LINGRAS P. A decision-theoretic rough set model[C]//RAS Z W, ZEMANKOVA M, EMRICH M L. Methodologies for Intelligent Systems, Vol. 5. New York:North-Holland, 1990:17-24.
[22] YU Hong, CHU Shuangshuang, YANG Dachun. Autonomous knowledge-oriented clustering using decision-theoretic rough set theory[J]. Fundamenta informaticae, 2012, 115(2/3):141-156.
[23] 贾修一, 商琳, 周献中, 等. 三支决策理论与应用[M]. 南京:南京大学出版社, 2012:17-33.
[24] 刘盾, 李天瑞, 李华雄. 粗糙集理论:基于三支决策视角[J]. 南京大学学报:自然科学版, 2013, 49(5):574-581. LIU Dun, LI Tianrui, LI Huaxiong. Rough set theory:a three-way decisions perspective[J]. Journal of Nanjing university:natural sciences, 2013, 49(5):574-581.
[25] JIA Xiuyi, LIAO Wenhe, TANG Zhenmin, et al. Minimum cost attribute reduction in decision-theoretic rough set models[J]. Information sciences, 2013, 219:151-167.
[26] LI Huaxiong, ZHANG Libo, HUANG Bing, et al. Sequential three-way decision and granulation for cost-sensitive face recognition[J]. Knowledge-based systems, 2016, 91:241-251.
[27] QIAN Yuhua, ZHANG Hu, SANG Yanli, et al. Multigranulation decision-theoretic rough sets[J]. International journal of approximate reasoning, 2014, 55(1):225-237.
[28] DOU Huili, YANG Xibei, SONG Xiaoning, et al. Decision-theoretic rough set:a multicost strategy[J]. Knowledge-based systems, 2016, 91:71-83.
[29] 于洪, 王国胤, 姚一豫. 决策粗糙集理论研究现状与展望[J]. 计算机学报, 2015, 38(8):1628-1639. YU Hong, WANG Guoyin, YAO Yiyu. Current research and future perspectives on decision-theoretic rough sets[J]. Chinese journal of computers, 2015, 38(8):1628-1639.
[30] 于洪, 王国胤, 李天瑞, 等. 三支决策:复杂问题求解方法与实践[M]. 北京:科学出版社, 2015:300-313.
[31] 李华, 胡奇英. 预测与决策教程[M]. 北京:机械工业出版社, 2012.
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1900-01-01