Abstract:To unify multiple class data, the linguistic ordered pair 3-tuple representation model based on linguistic 2-tuple is proposed, and some of its properties are studied. Then, the similarity between linguistic ordered pair 3-tuple is produced. Meanwhile, the linguistic ordered pair 3-tuple weighted average operator is discussed. The standardized transformation models of fuzzy sets, intuitionistic fuzzy sets, hesitant fuzzy sets, linguistic truth-valued intuitionistic fuzzy sets and linguistic ordered pair 3-tuple are constructed, respectively. Combined with the similarity between linguistic ordered pair 3-tuple, the standardized transformation models of fuzzy sets, intuitionistic fuzzy sets, hesitant fuzzy sets, linguistic truth-valued intuitionistic fuzzy sets are applied to pattern recognition. Finally, the rationality and the effectiveness of the proposed method are illustrated via an example of hospital intelligent triage.
王洪东,侯雪辉,高蕴慧,邹丽. 基于语言值有序对三元组的多类型数据标准化方法[J]. 模式识别与人工智能, 2019, 32(3): 278-286.
WANG Hongdong, HOU Xuehui, GAO Yunhui, ZOU Li. Unification of Multiple Class Data Based on Linguistic Ordered Pair 3-Tuple. , 2019, 32(3): 278-286.
[1] ZADEH L A. Fuzzy Sets. Information and Control, 1965, 8(3): 338-353. [2] 谢季坚,刘承平.模糊数学方法及其应用.第4版.武汉:华中科技大学出版社, 2013. (XIE J J, LIU C P. Fuzzy Mathematics Method and Its Application. 4th Edition. Wuhan, China: Huazhong University of Science and Technology Press, 2013.) [3] ATANASSOV K T. Intuitionistic Fuzzy Sets. Fuzzy Sets and Systems, 1986, 20(1): 87-96. [4] TORRA V, NARUKAWA Y. On the Hesitant Fuzzy Sets and Decision // Proc of the 18th IEEE International Conference on Fuzzy Systems. Washington, USA: IEEE, 2009: 1378-1382. [5] TORRA V. Hesitant Fuzzy Sets. International Journal of Intelligent Systems, 2010, 25: 529-539. [6] MENG F Y, CHEN X H, ZHANG Q. Multi-attribute Decision Analy-sis under a Linguistic Hesitant Fuzzy Environment. Information Sciences, 2014, 267: 287-305. [7] WU Z B, XU J P. Possibility Distribution-Based Approach for MA-GDM with Hesitant Fuzzy Linguistic Information. IEEE Transactions on Cybernetics, 2016, 46(3): 694-705. [8] XU Y, CHEN S W, MA J. Linguistic Truth-Valued Lattice Implication Algebra and Its Properties // Proc of the Conference on Computational Engineering in Systems Applications. Washington, USA: IEEE, 2006: 1413-1418. [9] XU Y, LI X B, LIU J, et al. Determination of α-Resolution for Lattice-Valued First-Order Logic Based on Lattice Implication Algebra // Proc of the International Conference on Intelligent Systems and Knowledge Engineering. Washington, USA: IEEE, 2007: 1567-1573. [10] HE X X, XU Y, LIU J, et al. On Compatibilities of α-Lock Resolution Method in Linguistic Truth-Valued Lattice-Valued Logic. Soft Computing, 2012, 16(4): 699-709. [11] ZOU L, SHI P, PEI Z, et al. On an Algebra of Linguistic Truth-Valued Intuitionistic Lattice-Valued Logic. Journal of Intelligent and Fuzzy Systems, 2013, 24(3): 447-456. [12] HERRERA F, MARTINEZ L. A 2-Tuple Fuzzy Linguistic Representation Model for Computing with Words. IEEE Transactions on Fuzzy Systems, 2000, 8(6): 746-752. [13] LI C C, DONG Y C, HERRERA F, et al. Personalized Individual Semantics in Computing with Words for Supporting Linguistic Group Decision Making: An Application on Consensus Reaching. Information Fusion, 2017, 33: 29-40. [14] 邹 丽,张云霞,高 伟.语言值直觉模糊二元组表示模型.模式识别与人工智能, 2014, 27(5): 394-402. (ZOU L, ZHANG Y X, GAO W. Linguistic-Valued Intuitionistic Fuzzy 2-Tuple Representation Model. Pattern Recognition and Artificial Intelligence, 2014, 27(5): 394-402.) [15] RODRIGUEZ R M, MARTINEZ L, HERRERA F, et al. A Group Decision Making Model Dealing with Comparative Linguistic Expressions Based on Hesitant Fuzzy Linguistic Term Sets. Information Sciences, 2013, 241: 28-42. [16] ZHANG X Y, ZHANG H Y, WANG J Q. Discussing Incomplete 2-Tuple Fuzzy Linguistic Preference Relations in Multi-Granular LinguisticMCGDM with UnknownWeight Information. Soft Com- puting, 2019, 23(6): 2015-2032. [17] DE OLIVEIRA MOURA SANTOS L F, OSIRO L, LIMA R H P. A Model Based on 2-Tuple Fuzzy Linguistic Representation and Analytic Hierarchy Process for Supplier Segmentation Using Qualitative and Quantitative Criteria. Expert Systems with Applications, 2017, 79: 53-64. [18] 徐 玥,刘练珍.q阶犹豫模糊集及其在决策中的应用.模式识别与人工智能, 2018, 31(9): 816-836. (XU Y, LIU L Z. Q-Rung Hesitant Fuzzy Sets and Its Application to Multi-criteria Decision-Making. Pattern Recognition and Artificial Intelligence, 2018, 31(9): 816-836.) [19] 邹 丽.基于语言真值格蕴涵代数的格值命题逻辑及其归结自动推理研究.博士学位论文.成都: 西南交通大学, 2010. (ZOU L. Studies on Lattice-Valued Propositional Logic and Its Resolution-Based Automatic Reasoning Based on Linguistic Truth-Valued Lattice Implication Algebra. Ph.D. Dissertation. Chengdu, China: Southwest Jiaotong University, 2010.)