数学与计算机科学 |
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毕达哥拉斯模糊环境下海明距离测度的证明及推广 |
李丹1(),王贵君2() |
1.三亚学院 理工学院,海南 三亚 572000 2.天津师范大学 数学科学学院,天津 300387 |
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The proof and generalization of Hamming distance measure in the Pythagorean fuzzy environment |
Dan LI1(),Guijun WANG2() |
1.School of Science and Technology,University of Sanya,Sanya 572000,HainanProvince,China 2.School of Mathematical Science,Tianjin Normal University,Tianjin 300387,China |
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YAGER R R. Pythagorean membership grades in multicriteria decision making[J]. IEEE Transactions on Fuzzy Systems, 2014, 22(4): 958-965. DOI:10. 1109/tfuzz.2013.2278989
doi: 10. 1109/tfuzz.2013.2278989
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ZHANG X L, XU Z S. Extension of TOPSIS to multiple criteria decision making with Pythagorean fuzzy sets[J]. International Journal of Intelligent System, 2014, 29(12): 1061-1078. DOI:10.1002/int.21676
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ZHANG X L. A novel approach based on similarity measure for Pythagorean fuzzy multiple criteria group decision making[J]. International Journal of Intelligent System, 2016, 31(6): 593-611. DOI:10. 1002/int.21796
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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
doi: 10.1002/int.21738
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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, 10: 1817-1823. DOI:10.13195/j.kzyjc.2016.1179 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, 10: 1817-1823. DOI:10.13195/j.kzyjc.2016.1179
doi: 10.13195/j.kzyjc.2016.1179
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曾守桢,穆志民.基于混合加权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. DOI:10.16381/j.cnki.issn1003-207x.2019.03.020 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. DOI:10.16381/j.cnki.issn1003-207x.2019.03.020
doi: 10.16381/j.cnki.issn1003-207x.2019.03.020
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常娟,杜迎雪,刘卫锋.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[J].浙江大学学报(理学版), 2021, 48(3): 304-313. DOI:10.3785/j.issn. 1008-9497.2021.03.006 CHANG J, DU Y X, LIU W F. Generalized Pythagorean hesitant fuzzy set hybrid weighted distance measure and its application to decision making[J]. Journal of Zhejiang University (Science Edition), 2021, 48(3): 304-313. DOI:10.3785/j.issn.1008-9497.2021.03.006
doi: 10.3785/j.issn.1008-9497.2021.03.006
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SUN G, WANG M X, LI X P. Centroid coordinate ranking of Pythagorean fuzzy numbers and its application in group decision making[J]. Cognitive Computation, 2022, 14(2): 602-623. DOI:10.1007/s12559-021-09976-w
doi: 10.1007/s12559-021-09976-w
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