4.7 Article

Multiple attribute decision making based on q-rung orthopair fuzzy generalized Maclaurin symmetic mean operators

Journal

INFORMATION SCIENCES
Volume 518, Issue -, Pages 181-210

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2020.01.013

Keywords

Fuzzy sets; q-Rung orthopair fuzzy numbers; Generalized Maclaurin symmetic mean operators; MADM

Funding

  1. National Natural Science Foundation of China [71771140, 71471172]
  2. Special Funds of Taishan Scholars Project of Shandong Province [ts201511045]
  3. Humanities and Social Sciences Research Project of Ministry of Education of China [19YJC630023]

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In the article, we establish two multiple attribute decision making (MADM) approaches using the developed weighted generalized Maclaurin symmetric mean (q-ROFWGMSM) and weighted generalized geometric Maclaurin symmetric mean (q-ROFWGGMSM) operator concerning q-rung orthopair fuzzy numbers (q-ROFNs). Firstly, inspired by the generalized Maclaurin symmetric mean (G-MSM) and geometric Maclaurin symmetric mean (Geo-MSM) operators, we establish the q-rung orthopair fuzzy G-MSM (q-ROFGMSM) and q-rung orthopair fuzzy Geo-MSM (q-ROFGGMSM) operators, which assumes the grades of membership and non-membership to evaluate information can take any values in interval 10,11 respectively and the attributes are relevant to other multiple attributes. Then, we present its characteristics and some special cases. Moreover, we propose the weighted forms of the q-ROFGMSM and q-ROFGGMSM operator, which is called the q-ROFWGMSM and q-ROFWGGMSM operators, respectively. Then, we present their some characteristics and special examples. Finally, we put forward two new MADM approaches founded on the developed q-ROFWGMSM and q-ROFWGGMSM operators. The developed approaches are more general and more practicable than Liu and Wang's MADM approach (2018), Wei and Lu's MADM method (2017), Qin and Liu's MADM method (2014) and Shen et al.'s MADM approach (2018). (C) 2020 Elsevier Inc. All rights reserved.

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