数学与计算机科学 |
|
|
|
|
广义毕达哥拉斯犹豫模糊集混合加权距离测度及决策应用 |
常娟, 杜迎雪, 刘卫锋 |
郑州航空工业管理学院 数学学院,河南 郑州 450046 |
|
Generalized Pythagorean hesitant fuzzy set hybrid weighted distance measure and its application to decision making |
CHANG Juan, DU Yingxue, LIU Weifeng |
School of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou 450046, China |
1 ZADEH L A.Fuzzy sets[J].Information and Control,1956,8(3):338-353. 2 ATANASSOV K T.Intuitionistic fuzzy sets[J].Fuzzy Sets and Systems,1986,20(1):87-96. DOI:10.1016/s0165-0114(86)80034-3 3 YAGER R R,ABBASOV A M.Pythagorean membership grades,complex numbers and decision making[J].International Journal of Intelligent Systems,2013,28(5):436-452. DOI:10.1002/int. 21584 4 YAGER R R.Pythagorean membership grades in multicriteria decision making[J]. IEEE Transaction on Fuzzy Systems,2014,22(4):958-965. DOI:10.1109/tfuzz.2013.2278989 5 ZHANG X L,XU Z S. Extension of TOPSIS to multiple criteria decision making with Pythagorean fuzzy sets[J]. International Journal of Intelligent Systems,2014,29(12):1061-1078. DOI:10.1002/int.21676 6 ZHANG X L. A novel approach based on similarity measure for Pythagorean fuzzy multiple criteria group decision making[J].International Journal of Intelligent Systems,2016,31(6):593-611. DOI:10.1002/int.21796 7 PENG X D,YANG Y. Some results for Pythagorean fuzzy sets[J].International Journal of Intelligent Systems,2015,30(11):1133-1160. DOI:10.1002/int.21738 8 李德清,曾文艺,尹乾. 勾股模糊集的距离测度及其在多属性决策中的应用[J]. 控制与决策,2017,32(10):1817-1823. DOI:10.1039/c7ja90048a LI D Q,ZENG W Y,YIN Q. Distance measures of Pythagorean fuzzy sets and their applications in multiattribute decision making[J].Control and Decision,2017,32(10):1817-1823. DOI:10.1039/c7ja90048a 9 曾守桢,穆志民. 基于混合加距离的毕达哥拉斯模糊TOPSIS多属性决策方法研究[J]. 中国管理科学,2019,27(3):198-205. ZENG S Z,MU Z M. A method based on hybrid weighted distance for Pythagorean fuzzy TOPSIS multiple-attribute decision making[J].Chinese Journal of Management Science,2019,27(3):198-205. 10 REN P J,XU Z S,GOU X J. Pythagorean fuzzy TODIM approach to multi-criteria decision making[J]. Applied Soft Computing,2016,42:246-259. DOI:10.1016/j.asoc.2015.12.020 11 杨艺,钱桂生,丁恒,等. 勾股模糊偏好关系及其在群体决策中的应用[J]. 控制与决策,2019,34(2):287-297. YANG Y,QIAN G S,DING H,et al. Pythagorean fuzzy preference relations and its application to group decision making[J]. Control and Decision,2019,34(2):287-297. 12 刘卫锋,常娟,何霞. 广义毕达哥拉斯模糊集成算子及其决策应用[J]. 控制与决策,2016,31(12):2280-2286. LIU W F,CHANG J,HE X. Generalized Pythagorean fuzzy aggregation operators and applications in decision making[J].Control and Decision,2016,31(12):2280-2286. 13 刘卫锋,杜迎雪,常娟. 毕达哥拉斯模糊交叉影响集成算子及其决策应用[J]. 控制与决策,2017,32(6):1033-1040. LIU W F,DU Y X,CHANG J,et al. Pythagorean fuzzy interaction aggregation operators and applications in decision making[J]. Control and Decision,2017,32(6):1033-1040. 14 WU S J,WEI G W. Pythagorean fuzzy Hamacher aggregation operators and their application to multiple attribute decision making[J]. International Journal of Knowledge-Based and Intelligent Engineering Systems,2016,21(3):24-39. 15 彭定洪,杨扬. 毕达哥拉斯模糊Heronian算子的多属性决策方法[J]. 计算机应用研究,2020,37(1):153-157. PENG D H,YANG Y.Multi-attribute decision making method for Pythagorean fuzzy Heronian operators[J]. Application Research of Computers,2020,37(1):153-157. 16 TORRA V. Hesitant fuzzy sets[J].International Journal of Intelligent Systems,2010,25(6):529-539. 17 刘卫锋,何霞. 毕达哥拉斯犹豫模糊集[J]. 模糊系统与数学,2016,30(4):107-115. LIU W F,HE X. Pythagorean hesitant fuzzy set[J].Fuzzy System and Mathematics,2016,30(4):107-115. 18 刘卫锋,何霞,常娟. 毕达哥拉斯犹豫模糊集的相关测度[J]. 控制与决策,2019,34(5):1018-1024. LIU W F,HE X,CHANG J. Correlation measure of Pythagorean hesitant fuzzy set[J].Control and Decision,2019,34(5):1018-1024. 19 WEI G W,MAO L. Dual hesitant Pythagorean fuzzy hamacher aggregation operators in multiple attribute decision making[J]. Archives of Control Sciences,2017,27(3):365-395. DOI:10.1515/acsc-2017-0024 20 WEI G W,WANG J,WEI C,et al. Dual hesitant Pythagorean fuzzy Hamy mean operators in multiple attribute decision making[J]. IEEE Access,2019,7:86697-86716. DOI:10.1109/access.2019.2924974 21 TANG X Y,WEI G W.Dual hesitant Pythagorean fuzzy Bonferroni mean operators in multi-attribute decision making[J].Archives of Control Sciences,2019,29(2):339-386. 22 LIANG D C,XU Z S. The new extension of TOPSIS method for multiple criteria decision making with hesitant Pythagorean fuzzy sets[J].Applied Soft Computing,2017,60:167-179. DOI:10.1016/j.asoc.2017.06.034 23 KHAN M S A,ABDULLAH S,ALI A,et al.Pythagorean hesitant fuzzy sets and their application to group decision making with incomplete weight information[J].Journal of Intelligent and Fuzzy Systems,2017,33(6):3971-3985. DOI:10.3233/jifs-17811 24 XU Z S,CHEN J. Ordered weighted distance measure[J].Journal of Systems Science and Systems Engineering,2008,17(4):432-445. DOI:10.1007/s11518-008-5084-8 25 PENG D H,GAO C Y,GAO Z F. Generalized hesitant fuzzy synergetic weighted distance measures and their application to multiple criteria decision-making[J]. Applied Mathematical Modelling,2013,37(8):5837-5850. DOI:10.1016/j.apm.2012.11.016 26 XU Z S,XIA M M. Distance and similarity measures for hesitant fuzzy sets[J]. Information Sciences,2011,181(11):2128-2138. DOI:10.1016/j.ins.2011. 01.028 27 XU Z S. An overview of methods for determining owa weights[J].International Journal of Intelligent Systems,2005,20(8):843-865. DOI:10.1002/int. 20097 28 XU Z S. Intuitionistic fuzzy aggregation operators[J].IEEE Transactions on Fuzzy Systems,2007,15(6):1179-1187. DOI:10.1109/tfuzz.2006.890678 29 DU Y Q,HOU F J,ZAFAR W,et al. A novel method for multiattribute decision making with interval-valued Pythagorean fuzzy linguistic information[J].International Journal of Intelligent Systems,2017,32(10):1085-1112. DOI:10.1002/int.21881 30 谭吉玉,刘高常. 犹豫模糊集指数熵及其应用[J]. 统计与决策,2017,492(24):66-69. DOI:10.13546/j.cnki.tjyjc.2017.24.016 TAN J Y,LIU G C. Hesitant fuzzy exponential entropy and its application[J]. Statistics and Decision,2017,492(24):66-69. DOI:10.13546/j.cnki.tjyjc.2017.24.016 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
|
Shared |
|
|
|
|
|
Discussed |
|
|
|
|