1.College of Computer and Information Engineering，Henan Normal University，Xinxiang，453007，China； 2．Engineering Technology Research Center for Computing Intelligence & Data Mining of Henan Province， Xinxiang，453007，China
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Published
2016-11-21
Issue Date
2016-11-21
Abstract
The Threeway Decisions model is researched by the intuitionistic fuzzy reliability under the intuitionistic fuzzy set and possibility theory.Firstly，the intuitionistic fuzzy possibility measure and intuitionistic fuzzy reliability are defined.Meanwhile，the relevant properties are discussed by utilizing intuitionistic fuzzy set theory and possibility theory.In the intuitionistic fuzzy possibility space，Threeway Decision models are established on the intuitionistic fuzzy possibility measure，and the dividing rules of the Threeway Decision models are defined.Secondly，Threeway Decision models of intuitionistic fuzzy information table are proposed，and a method of calculating integrated intuitionistic fuzzy attribute value is proposed.Thirdly，with analyzing the erroneous judgment of this model，a method of decisionmaking risk measurement is given based on the intuitionistic fuzzy possibility measure and intuitionistic fuzzy reliability.Finally，the specific calculation steps are given with examples：the membership degree and nonmembership degree of objects in different attribute characteristics are analyzed comprehensively，and the intuitionistic fuzzy possibility measure is calculated.The boundary threshold value and the characteristic value of the synthetic intuitionistic fuzzy attribute are calculated by intuitionistic fuzzy credibility.The validity of the model is discussed after measuring the risk decisionmaking.
Xue Zhan’ao1，2*，Xin Xianwei1，2，Yuan Yilin1，2，Xue Tianyu1，2.
Research on the Threeway Decisions model based on intuitionistic fuzzy possibility measures [J]. Journal of Nanjing University(Natural Sciences), 2016, 52(6): 1065
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References
[1] Zadeh L A．Fuzzy sets.Information & Control，1965，8(65)：338－353. [2] Atanassov K T．Intuitionistic fuzzy sets.Fuzzy sets and Systems，1986，20(1)：87－96. [3] Song Y，Wang X，Lei L，et al.A novel similarity measure on intuitionistic fuzzy sets with its applications.Applied Intelligence，2015，42(2)：252－261. [4] Meng F，Chen X．Entropy and similarity measure of Atanassov’s intuitionistic fuzzy sets and their application to pattern recognition based on fuzzy measures.Pattern Analysis and Applications，2016，19(1)：11－20. [5] Chen S M，Cheng S H，Chiou C H．Fuzzy multiattribute group decision making based on intuitionistic fuzzy sets and evidential reasoning methodology.Information Fusion，2016，27(1)：215－227. [6] Montes I，Pal N R，Janis V，et al.Divergence measures for intuitionistic fuzzy sets.IEEE Transactions on Fuzzy Systems，2015，23(2)：444－456. [7] Zhou L．On Atanassov’s intuitionistic fuzzy sets in the complex plane and the field of intuitionistic fuzzy numbers.IEEE Transactions on Fuzzy Systems，2016，24(2)：253－259. [8] Shen F，Xu J，Xu Z．An outranking sorting method for multicriteria group decision making using intuitionistic fuzzy sets.Information Sciences，2016，334(2)：338－353. [9] 薛占熬，司小朦，朱泰隆等．覆盖粗糙直觉模糊集模型的研究．计算机科学，2016，43(1)：44－48，68.(Xue Z A，Si X M，Zhu T L，et al.Study on model of coveringbased rough intuitionistic fuzzy sets.Computer Science.2016，43(1)：44－48，68.) [10] Zadeh L A．Possibility theory and its application to information analysis.In：Proceedings of International Colloquium on Information Theory.Cachan：Juillet，1978：173－182. [11] 江世英，时银水，彭力彬．基于可能性测度的模糊可靠性浅析．电光与控制，2005，12(6)：74－76.(Jiang S Y，Shi Y S，Peng L B．Analysis on fuzzy reliability based on possibility measurement.Electronics Optics &Control，2005，12(6)：74－76.) [12] 李存林，张 强．基于可能性测度的模糊对策．北京理工大学学报，2011，31(3)：324－328.(Li C L，Zhang Q．Fuzzy games based on possibility measure.Transactions of Beijing Institute of Technology，2011，31(3)：324－328.) [13] 朱勇珍，李洪兴．可能性与必要性测度性质及可能多目标线性规划的模糊有效解关系定理．模糊系统与数学，2000，14(1)：1－11.(Zhu Y Z，Li H X．Some properties of necessary and possible measures and relation theorems in possibilistic mul tiobjective linear programming.Fuzzy Systems and Mathematics，2000，14(1)：1－11.) [14] Pawlak Z．Rough sets.International Journal of Computer & Information Sciences，1982，11(5)：341－356. [15] Yao Y Y，Wong S K M，Lingras P．A decisiontheoretic rough set model.In：Proceedings of the 5th International Symposium on Methodologies for Intelligent Systems.Tennessee：NorthHolland，1990：17－25. [16] S＇le D，Ziarko W．The investigation of the Bayesian rough set model.International Journal of Approximate Reasoning，2005，40(1)：81－91. [17] Ziarko W．Variable precision rough set model.Journal of Computer and System Sciences，1993，46(1)：39－59 [18] Yao Y Y．Probabilistic rough set approximations.International Journal of Approximate Reasoning，2008，49(2)：255－271. [19] 刘 盾，姚一豫，李天瑞．三支决策粗糙集．计算机科学，2011，38(1)：246－250.(Liu D，Yao Y Y，Li T R．Rough set of Threeway decision.Computer Science，2011，38(1)：246－250.) [20] 李华雄，周献中，李天瑞等．决策粗糙集理论及其研究进展．北京：科学出版社，2011，1－59.(Li H X，Zhou X Z，Li T R，et al.Theory and research progress of decision rough set theory.Beijing：Science Press，2011，1－59.) [21] Yao Y Y．Threeway decisions with probabilistic rough sets.Information Sciences，2010，180(3)：341－353. [22] Yao Y Y．The superiority of threeway decisions in probabilistic rough set models.Information Sciences，2011，181(6)：1080－1096. [23] Liang D，Liu D．Deriving threeway decisions from intuitionistic fuzzy decisiontheoretic rough sets.Information Sciences，2015，300(2)：28－48. [24] Zhou B，Yao Y Y，Luo J G．A Threeway decision approach to email spam filtering.In：Proceedings of the Advances in Artificial Intelligence，Canadian Conference on Artificial Intelligence，Canadian，AI 2010.Canada：SpringerVerlag Berlin and Heidelberg GmbH & Co.KG，2010：28－39. [25] Zhou B，Yao Y，Luo J．Costsensitive threeway email spam filtering.Journal of Intelligent Information Systems，2014，42(1)：19－45. [26] 薛占熬，朱泰隆，薛天宇等．基于直觉模糊集的三支决策模型．计算机科学，2016，43(6)：285－288，297.(Xue Z A，Zhu T L，Xue T Y，et al.Threeway decisions model based on intuitionistic fuzzy sets.Computer Science，2016，43(6)：285－288，297.) [27] 薛占熬，王朋函，刘 杰等．基于概率图的三支决策模型研究．计算机科学，2016，43(1)：30－34.(Xue Z A，Wang P H，Liu J，et al.A Threeway decision model based on probabilistic graph.Computer Science，2016，43(1)：30－34.) [28] Zhang Y，Xing H，Zou H，et al.A Threeway decisions model based on constructive covering algorithm.In：Rough Sets and Knowledge Technology.Springer Berlin Heidelberg，2013：346－353. [29] 于 红，王国胤，李天瑞等．三支决策：复杂问题求解方法与实践．北京：科学出版社，2015：269－285.(Yu H，Wang G Y，Li T Y，et al.Threeway decisions：Methods and practices for complex problem solving.Beijing：Science Press，2015：269－285.) [30] Turney P D．Types of cost in inductive concept learning.In：The Workshop on CostSensitive Learning at the 17th International Conference on Machine Learning.Burlington，Massachusetts：Morgan Kaufmann，2002：15－21.
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