Some q-rung orthopair linguistic Heronian mean operators with their application to multi-attribute group decision making

• Autorzy: Li L. , Zhang R. , Shang X.

Identyfikatory

DOI

10.24425/acs.2018.125483

• Języki publikacji: EN

Abstrakty

EN

The recently proposed q-rung orthopair fuzzy set (q-ROFS) characterized by a membership degree and a non-membership degree is powerful tool for handling uncertainty and vagueness. This paper proposes the concept of q-rung orthopair linguistic set (q-ROLS) by combining the linguistic term sets with q-ROFSs. There after, we investigate multi-attribute group decision making (MAGDM) with q-rung orthopair linguistic information. To aggregate q-rung orthopair linguistic numbers (q-ROLNs), we extend the Heronian mean (HM) to q-ROLSs and propose a family of q-rung orthopair linguistic Heronian mean operators, such as the q-rung orthopair linguistic Heronian mean (q-ROLHM) operator, the q-rung orthopair linguistic weighted Heronian mean (q-ROLWHM) operator, the q-rung orthopair linguistic geometric Heronian mean (q-ROLGHM) operator and the q-rung orthopair linguistic weighted geometric Heronian mean (q-ROLWGHM) operator. Some desirable properties and special cases of the proposed operators are discussed. Further, we develop a novel approach to MAGDM within q-rung orthopair linguistic context based on the proposed operators. A numerical instance is provided to demonstrate the effectiveness and superiorities of the proposed method.

Słowa kluczowe

EN

q-rung orthopair fuzzy set; q-rung orthopair linguistic set; Heronian mean; q-rung orthopair linguistic Heronian mean; multi-attribute group decision making

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2018
• Tom: Vol. 28, No. 4
• Strony: 551--583
• Opis fizyczny: Bibliogr. 42 poz., rys., tab., wykr., wzory

Twórcy

autor

Li L.

• School of Economics and Management, Beijing Jiaotong University, Beijing 100044, China

autor

Zhang R.

• School of Economics and Management, Beijing Jiaotong University, Beijing 100044, China

autor

Shang X.

• School of Economics and Management, Beijing Jiaotong University, Beijing 100044, China

Bibliografia

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Uwagi

EN

1. This work was partially supported by National Natural Science Foundation of China (Grant number 71532002, 61702023), and a key project of Beijing Social Science Foundation Research Base (Grant number 18JDGLA017).

PL

2. Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).