一种考虑形状—位置概率语言术语相似度及应用

doi:10.16381/j.cnki.issn1003-207x.2020.0614

Abstract

Abstract: In order to effectively measure the similarity between different probabilistic linguistic term elements，a similarity of probabilistic linguistic term elements considering the shape and position of data is proposed. Firstly，by comparing the shapes of the scatter plots of different probabilistic linguistic term elements，the probabilistic linguistic term shape similarity is proposed. Secondly，based on the earth mover’s distance(EMD) and the completeness of the information，the distance similarity of the probabilistic linguistic term element is defined. Then，in order to measure the overall similarity of different probabilistic linguistic terms，a comprehensive similarity measure of probabilistic linguistic term element considering shape-position is proposed. Finally，a multi-attribute decision-making model is established based on improved radar graph，comprehensive similarity measure of probabilistic linguistic term element and max-min operator，and the rationality and effectiveness of the proposed method are illustrated by examples.

Key words: probabilistic linguistic term element; similarity measure; earth mover’s distance; max-min operator; improved radar graph; multi-attribute decision making

CLC Number:

C934

ZHU Feng, LIU Yu-min, XU Ji-chao, SU Bing-jie. A Considering Shape—Position Probabilistic Linguistic Term Similarity and Its Application[J]. Chinese Journal of Management Science, 2023, 31(4): 250-259.

References

［1］ Zadeh L A．Fuzzy sets［J］． Information & Control， 1965，8(3)：338-353．
［2］金飞飞，倪志伟，陈华友，等．基于一致性局部调整算法和DEA的语言偏好决策模型［J］．中国管理科学，2019，27(12)：152-163.Jin Feifei, Ni Zhiwei, Cheng Huayou, et al. Linguistic preference decision-making model based on consistency local adjustment algorithm and DEA［J］. Chinese Journal of Management Science,2019,27(12):152-163.
［3］刘金培，杨宏伟，陈华友，等．基于交叉效率DEA与群体共识的区间乘性语言偏好关系群决策［J］．中国管理科学，2020，28(2)：190-198．Liu Jinpei, Yang Hongwei, Chen Youhua, et al. Group decision making with interval multiplicative linguistic preference relations based on cross-efficiency DEA and group consensus［J］. Chinese Journal of Management Science, 2020,28(2):190-198.
［4］张发明，王伟明．基于后悔理论和DEMATEL的语言型多属性决策方法［J］．中国管理科学，2020，28(6)：201-210.Zhang Faming, Wang weiming. A new linguistic multiple attribute decision making method based on regret theory and DEMATEL［J］. Chinese Journal of Management Science, 2020,28(6):201-210.
［5］ Zadeh L A. The concept of a linguistic variable and its application to approximate reasoning—I［J］． Information Sciences，1975，8(3)：199-249.
［6］ Zadeh L A．The concept of a linguistic variable and its application to approximate reasoning—II［J］． Information Sciences，1975，8(4)：301-357.
［7］ Zadeh L A．The concept of a linguistic variable and its application to approximate reasoning—III［J］． Information Sciences，1975，9(1)：43-80.
［8］徐泽水．基于语言信息的决策理论与方法［M］．北京：科学出版社，2008.Xu Zeshui. Linguistic decision making theory and methods［M］. Beijing: Science Press, 2008.
［9］ Liao Huchang，Xu Zeshui，Zeng Xiaojun，et al．Qualitative decision making with correlation coefficients of hesitant fuzzy linguistic term sets［J］． Knowledge-Based Systems，2015，76：127-138．
［10］ Torra V．Hesitant fuzzy sets［J］.International Journal of Intelligent Systems，2010，25(6)：529-539.
［11］ Pang Qin，Wang Hai，Xu Zeshui．Probabilistic linguistic term sets in multi-attribute group decision making［J］．Information Sciences，2016，369：128-143.
［12］ Liu Peide，Teng Fei．Some Muirhead mean operators for probabilistic linguistic term sets and their applications to multiple attribute decision-making［J］．Applied Soft Computing，2018，68：396-431.
［13］任嵘嵘，孟一鸣，李晓奇，等．基于一致性度量的概率模糊语言多属性群决策方法［J］．中国管理科学，2020，28(4)：220-230.Ren Rongrong, Meng Yiming, Li Xiaoqi, et al. Consensus measure method for probabilistic linguistic information in multi-attribute group decision making［J］. Chinese Journal of Management Science, 2020, 28(4):220-230.
［14］ Yu Wangwang，Zhang Hui，Li Boquan. Operators and comparisons of probabilistic linguistic term sets［J］．International Journal of Intelligent Systems，2019，34(7)：1476-1504．
［15］ Zhang Xianfang，Gou Xunjie，Xu Zeshui，et al．A projection method for multiple attribute group decision making with probabilistic linguistic term sets［J］．International Journal of Machine Learning and Cybernetics，2019，10(9)：2515-2528.
［16］ Liao Huchang，Xu Zeshui，Zeng Xiaojun．Distance and similarity measures for hesitant fuzzy linguistic term sets and their application in multi-criteria decision making［J］． Information Sciences，2014，271(3)：125-142.
［17］ Zhang Yixin，Xu Zeshui，Wang Hai，et al．Consistency-based risk assessment with probabilistic linguistic preference relation［J］．Applied Soft Computing，2016，49：817-833.
［18］ Zhang Yixin，Xu Zeshui，Liao Huchang．A consensus process for group decision making with probabilistic linguistic preference relations［J］．Information Sciences，2018,414：260-275.
［19］ Wu Xingli，Liao Huchang，Xu Zeshui，et al．Probabilistic linguistic MULTIMOORA：a multi-criteria decision making method based on the probabilistic linguistic expectation function and the improved borda rule［J］．IEEE Transactions on Fuzzy Systems，2018，26(6)：3688-3702.
［20］ Tang Ming，Long Yilu，Liao Huchang，et al．Inclusion measures of probabilistic linguistic term sets and their application in classifying cities in the Economic Zone of Chengdu Plain［J］．Applied Soft Computing，2019，82：1-16.
［21］ Zhang Xiaofang，Xu Zeshui，Ren Peijia．A novel hybrid correlation measure for probabilistic linguistic term sets and crisp numbers and its application in customer relationship management［J］． International Journal of Information Technology & Decision Making，2019，18(2)：673-694.
［22］ Luo Suizhi，Zhang Hongyu，Wang Jianqiang，et al．Group decision-making approach for evaluating the sustainability of constructed wetlands with probabilistic linguistic preference relations［J］．Journal of the Operational Research Society，2019，70(12)：2039-2055.
［23］吴鸿华，穆勇，屈忠锋，等．基于面板数据的接近性和相似性关联度模型［J］．控制与决策，2016，31(3)：555-558.Wu Honghua, Mu Yong, Qu Zhongfeng, et al. Similarity and nearness relational degree based on panel data［J］. Control and Decision, 2016,31(3):555-558.
［24］ Rubner Y，Tomasi C，Guibas L J．The earth mover’s distance as a metric for image retrieval［J］．International Journal of Computer Vision，2000，40(2)：99-121.
［25］李国栋，庞文杰，葛磊蛟，等．基于改进雷达图法的光伏并网发电系统稳态电能质量综合评估［J］．电工电能新技术，2016，35(5)：8-12+35.Li Guodong, Pang Wenjie, Ge Leijiao, et al. Steady-state power quality synthetic evaluation of grid-connected photovoltaic system based on improved radar chart［J］. Advanced Technology of Electrical Engineering and Energy, 2016,35(5):8-12+35.
［26］程志友，朱唯韦，陶青，等．基于改进雷达图的配电系统电能质量评估方法［J］.电测与仪表，2019，56(14)：34-39+67.Chen Zhiyou, Zhu Weiwei, Tao Qing, et al. Power quality evaluation method of distribution system based on improved radar chart［J］. Electrical Measurement ＆ Instrumentation, 2019, 56(14):34-39+67.
［27］ Liao Huchang， Xu Zeshui．Satisfaction degree based interactive decision making under hesitant fuzzy environment with incomplete weights［J］． International Journal of Uncertainty Fuzziness & Knowledge Based Systems， 2014， 22(4)：553-572.
［28］ Ding Jie，Xu Zeshui，Zhao Na．An interactive approach to probabilistic hesitant fuzzy multi-attribute group decision making with incomplete weight information［J］．Journal of Intelligent & Fuzzy Systems，2017，32(3)：2523-2536.
［29］刘小弟，朱建军，张世涛，等．一种新犹豫模糊符号距离及其应用［J］．系统工程理论与实践，2019，39(2)：442-450.Liu Xiaodi, Zhu Jianjun, Zhang Shitao, et al. A novel hesitant fuzzy signed distance and its application［J］. Systems Engineering-Theory & Practice, 2019, 39(2): 442-450.
［30］ Wang Jianqiang，Wu Jiating，Wang Jing，et al．Interval-valued hesitant fuzzy linguistic sets and their applications in multi-criteria decision-making problems［J］．Information Sciences， 2014，288(C)：55-72．
［31］郑惠莉，刘陈，翟丹妮．基于雷达图的综合评价方法［J］．南京邮电学院学报(自然科学版)，2001(2)：75-79.Zheng Huili, Liu Chen, Zhai Danni. Comprehensive evaluating method based on radar-graph［J］. Journal of Nanjing University of Posts and Telecommunications (Natural Science), 2001(2):75-79.

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A Considering Shape—Position Probabilistic Linguistic Term Similarity and Its Application

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