摘要: 决策粗糙集模型中损失函数一般是基于单值的。考虑到实际决策问题中损失函数的不确定特征,为了处理一般的情形,引入模糊数来表示损失函数。从模糊数学的角度出发,通过一系列模糊运算得出决策阈值α、β的模糊分布,并据此给出决策规则。同时,对比区间决策粗糙集模型,给出获得更紧凑的阈值α、β上、下确界的方法。最后,通过一个石油投资的例子来阐明该模型的应用过程。
[1] Pawlak Z.Rough sets[J].International Journal of Computer and Information Science,1982,11(5):341-356 [2] Pawlak Z.Rough Sets:Theoretical Aspects of Reasoning about Data[M].Boston:Kluwer Academic Publishers Press,1991:90-166 [3] Yao Y Y.Three-way decision:an interpretation of rules in rough set theory[J].LNAI,2009(5589):642-649 [4] Yao Y Y.Three-way decisions with probabilistic rough sets[J].1nformation Sciences,2010,180:341-353 [5] Yao Y.The superiority of three-way decisions in probabilisticrough set models[J].Information Sciences,2011,181(6):1080-1096 [6] Pawlak Z,Wong S K M,Ziarko W.Rough sets:probabilistic versus deterministic approach[J].Inter.Journal of Man-Machine Studies,1988,29:81-95 [7] Yao Y Y,Wong S K M.A decision theoretic framework for approximation concepts[J].Inter.Journal of Man-machine Stu-dies,1992,37:793-809 [8] Yao Y Y,Wong S K M.A decision theoretic framework for approximating concepts[J].International Journal of Man-machine Studies,1992,37(6):793-809 [9] Ziarko W.Variable precision rough set model[J].Journal ofcomputer and system sciences,1993,46(1):39-59 [10] Slezak D.Rough sets and Bayes factor[J].LNCS Transactions on Rough Sets,2005,111:202-229 [11] Slezak D,Ziarko W.The investigation of the Bayesian rough set model[J].International Journal of Approximate Reasoning,2005,40:81-91 [12] 刘盾,李天瑞,李华雄.区间决策粗糙集[J].计算机科学,2012,9(7):178-181,5 [13] 谢季坚,刘承平.模糊数学方法及其应用[M].武汉:华中科技大学出版社,2000:29-32 [14] Liu X.Measuring the satisfaction of constraints in fuzzy linear programming[J].Fuzzy Sets and Systems,2001,122(2):263-275 [15] Yager R R.On choosing between fuzzy subsets[J].Kybernetes,1980,9(2):151-154 [16] Yager R R.A procedure for ordering fuzzy subsets of the unit interval[J].Information Sciences,1981,24(2):143-161 [17] Adamo J M.Fuzzy decision trees[J].Fuzzy sets and systems,1980,4(3):207-219 [18] Chang W.Ranking of fuzzy utilities with triangular membership functions[C]∥Proceedings of International Conference on Policy Analysis and Systems.1981:272 [19] de Campos Ibáez L M,Muoz A G.A subjective approach for ranking fuzzy numbers[J].Fuzzy sets and systems,1989,29(2):145-153 [20] Xie G,Yue W,Wang S,et al.Dynamic risk management in petroleum project investment based on a variable precision rough set model[J].Technological Forecasting and Social Change,2010,77(6):891-901 [21] Yusgiantoro P,Hsiao F S T.Production-sharing contracts and decision-making in oil production:The case of Indonesia[J].Energy economics,1993,15(4):245-256 |
No related articles found! |
|