Q-rung orthopair triangular fuzzy linguistic Frank aggregation operators and their application

Yuqin Du*, Xiangjun Du, Yuanyuan Li, Fujun Hou

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    2 Citations (Scopus)

    Abstract

    The aim of this paper is to introduce a Frank operator in the q-rung orthopair triangular fuzzy linguistic environment on the basis of the notion of the Frank operator and the q-rung orthopair fuzzy set. Firstly, the concept of a q-rung orthopair triangular fuzzy linguistic set (q-ROTrFLS) is proposed, then several basic operations, score, and accuracy functions to compare the q-ROTrFLS values are defined. Secondly, a series of q-rung orthopair triangular fuzzy linguistic Frank aggregation operators are developed, such as q-rung orthopair triangular fuzzy linguistic Frank weighted average (q-ROTrFLWA)operator,q-rung orthopair triangular fuzzy linguistic Frank weighted geometric (q-ROTrFLWG) operator, and we introduce several relevant properties of these operators and prove their validity, and show the relevant relationship between some operators. Thirdly, two different decision-making approaches are constructed in the q-rung orthopair triangular fuzzy linguistic environment. Furthermore, a practical example is given to explain the developed methods. Finally, a comparative study is conducted, and the relevant sensitivity analysis is also discussed, and the outcome shows the prominence and the effectiveness of the developed methods compared to previous studies.

    Original languageEnglish
    Pages (from-to)7417-7445
    Number of pages29
    JournalJournal of Intelligent and Fuzzy Systems
    Volume43
    Issue number6
    DOIs
    Publication statusPublished - 2022

    Keywords

    • Frank operator
    • multi-attribute decision making (MADM)
    • q-rung orthopair set
    • q-rung orthopair triangular fuzzy linguistic set

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