引用本文:刘熠,秦亚,刘好斌,等.广义q-ROF TODIM方法及应用[J].控制与决策,2020,35(8):2021-2028
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广义q-ROF TODIM方法及应用
刘熠1,2, 秦亚2, 刘好斌1,2, 许雷1,2
(1. 内江师范学院数据恢复四川省重点实验室,四川内江641000;2. 内江师范学院数学与信息科学学院,四川内江641000)
摘要:
基于Pythagorean模糊迭代多准则决策(TODIM)方法和简化的TODIM方法,首先给出简化的q-ROF TODIM方法,并分析该方法产生的悖论;其次,结合广义TODIM方法的思想,提出广义q-ROF TODIM方法;再次,通过一个实例来说明广义q-ROF TODIM方法的可行性和有效性;最后,结合该实例,将所提出的方法与其他q-ROF决策方法进行比较分析,同时分析参数的变化对决策结果的影响,进一步阐明所提出方法的优越性.
关键词:  不确定性  多准则决策  q-ROF集  广义TODIM方法
DOI:10.13195/j.kzyjc.2018.1683
分类号:TP273
基金项目:国家自然科学基金项目(61673320);四川省青年科技创新研究团队项目(2019JDTD0015);四川省科技厅科技计划重点项目(2017JY0199);四川省教育厅科研创新团队项目(15TD0027);四川省教育厅重点项目(18ZA0273);四川省教育厅面上项目(17ZB0220);内江师范学院科研创新团队项目(18TD008).
Generalized q-ROF TODIM method and its application
LIU Yi1,2,QIN Ya2,LIU Hao-bin1, 2,XU Lei1,2
(1. Data Recovery Key Lab of Sichuan Province,Neijiang Normal University,Neijiang641000,China;2. School of Mathematics and Information Science,Neijiang Normal University,Neijiang641000,China)
Abstract:
To begin with, the simplification of q-ROF TODIM method is established based on the the Pythagorean fuzzy TODIM method and classic TODIM method, a paradox of the q-ROF TODIM method is also analyzed. Then, the generalized Pythagorean fuzzy TODIM method is built based on the generalized TODIM method. Furthermore, the proposed generalized Pythagorean fuzzy TODIM method is applied to the numerical example to verify the effectiveness of the proposed method. Finally, some comparisons are made between the proposed method and some existed decision making methods, the sensibility analysis of the proposed method are also carried out when parameters changed, and the advantages of proposed method are also analyzed.
Key words:  uncertainty  multicriteria decision making  q-ROF set  generalized TODIM method

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