Interval-Valued Pythagorean Fuzzy Maclaurin Symmetric Mean Operators in Multiple Attribute Decision Making
被引:78
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作者:
Wei, Guiwu
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机构:
Sichuan Normal Univ, Sch Business, Chengdu 610101, Sichuan, Peoples R ChinaSichuan Normal Univ, Sch Business, Chengdu 610101, Sichuan, Peoples R China
Wei, Guiwu
[1
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Garg, Harish
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机构:
Thapar Inst Engn & Technol, Sch Math, Patiala 147004, Punjab, IndiaSichuan Normal Univ, Sch Business, Chengdu 610101, Sichuan, Peoples R China
Garg, Harish
[2
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Gao, Hui
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机构:
Sichuan Normal Univ, Sch Business, Chengdu 610101, Sichuan, Peoples R ChinaSichuan Normal Univ, Sch Business, Chengdu 610101, Sichuan, Peoples R China
Gao, Hui
[1
]
Wei, Cun
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机构:
Southwest Petr Univ, Sch Sci, Chengdu 610500, Sichuan, Peoples R ChinaSichuan Normal Univ, Sch Business, Chengdu 610101, Sichuan, Peoples R China
Wei, Cun
[3
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机构:
[1] Sichuan Normal Univ, Sch Business, Chengdu 610101, Sichuan, Peoples R China
Interval-valued Pythagorean fuzzy (IVPF) set is one the successful extension of the existing theories for handling the uncertainties during the decision-making process. Under that environment, various aggregation operators have been developed by the authors to aggregate the different preferences of the decision makers under the different attributes. But these studies have conducted under the assumption that their corresponding pairs are independent and don't consider the interaction between the pairs of the membership degrees. In this paper, these conditions have been relaxed by considering the interrelationship between the different inputs by using Maclaurin symmetric mean (MSM) operator. Further, based on the input and MSM operator, we proposed two aggregation operators namely, IVPF Maclaurin symmetric mean and IVPF weighted Maclaurin symmetric mean operators and studied their desirable properties. A decision-making method based on these operators has been discussed for solving the decision-making problems under IVPF set environment. Finally, an illustrative example and a comparative analysis have been presented to demonstrate the proposed approach.
机构:
Xihua Univ, Sch Sci, Chengdu 610039, Sichuan, Peoples R ChinaXihua Univ, Sch Sci, Chengdu 610039, Sichuan, Peoples R China
Rong, Yuan
Liu, Yi
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机构:
Neijiang Normal Univ, Data Recovery Key Lab Sichuan Prov, Neijiang 641100, Sichuan, Peoples R China
Neijiang Normal Univ, Numer Simulat Key Lab Sichuan Prov, Neijiang 641100, Sichuan, Peoples R ChinaXihua Univ, Sch Sci, Chengdu 610039, Sichuan, Peoples R China
Liu, Yi
Pei, Zheng
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机构:
Xihua Univ, Sch Sci, Chengdu 610039, Sichuan, Peoples R ChinaXihua Univ, Sch Sci, Chengdu 610039, Sichuan, Peoples R China
机构:
Liupanshui Normal Univ, Sch Math & Stat, Liupanshui 553004, Guizhou, Peoples R China
Sichuan Normal Univ, Sch Math Sci, Chengdu 610101, Peoples R ChinaLiupanshui Normal Univ, Sch Math & Stat, Liupanshui 553004, Guizhou, Peoples R China
Zhang, Huiyuan
Cai, Qiang
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机构:
Sichuan Normal Univ, Sch Business, Chengdu 610101, Peoples R ChinaLiupanshui Normal Univ, Sch Math & Stat, Liupanshui 553004, Guizhou, Peoples R China
Cai, Qiang
Wei, Guiwu
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机构:
Sichuan Normal Univ, Sch Math Sci, Chengdu 610101, Peoples R China
Sichuan Normal Univ, Sch Business, Chengdu 610101, Peoples R ChinaLiupanshui Normal Univ, Sch Math & Stat, Liupanshui 553004, Guizhou, Peoples R China
机构:
Sichuan Normal Univ, Sch Business, Chengdu 610101, Sichuan, Peoples R ChinaSichuan Normal Univ, Sch Business, Chengdu 610101, Sichuan, Peoples R China
Li, Zengxian
Wei, Guiwu
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机构:
Sichuan Normal Univ, Sch Business, Chengdu 610101, Sichuan, Peoples R ChinaSichuan Normal Univ, Sch Business, Chengdu 610101, Sichuan, Peoples R China