Some interval-valued q-rung orthopair weighted averaging operators and their applications to multiple-attribute decision making

Yanbing Ju*, Chao Luo, Jun Ma, Hengxia Gao, Ernesto D.R. Santibanez Gonzalez, Aihua Wang

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    61 Citations (Scopus)

    Abstract

    Q-rung orthopair fuzzy sets (q-ROFSs), initially proposed by Yager, are a new way to reflect uncertain information. The existing intuitionistic fuzzy sets (IFSs) and Pythagorean fuzzy sets are special cases of the q-ROFSs. However, due to insufficiency in available information, it is difficult for decision makers to exactly express the membership and nonmembership degrees by crisp numbers, and interval membership degree and interval nonmembership degree are good choices. In this paper, we propose the concept of interval-valued q-rung orthopair fuzzy set (IVq-ROFS) based on the ideas of q-ROFSs and some operational laws of q-rung orthopair fuzzy numbers (q-ROFNs). Then, some interval-valued q-rung orthopair weighted averaging operators are presented based on the given operational laws of q-ROFNs. Further, based on these operators, we develop a novel approach to solve multiple-attribute decision making (MADM) problems under interval-valued q-rung orthopair fuzzy environment. Finally, a numerical example is provided to illustrate the application of the proposed method, and the sensitivity analysis is further carried out for the parameters.

    Original languageEnglish
    Pages (from-to)2584-2606
    Number of pages23
    JournalInternational Journal of Intelligent Systems
    Volume34
    Issue number10
    DOIs
    Publication statusPublished - Oct 2019

    Keywords

    • generalized interval-valued q-rung orthopair fuzzy weighted averaging operator
    • interval-valued q-rung orthopair fuzzy aggregation operators
    • interval-valued q-rung orthopair fuzzy hybrid averaging operator
    • multiple-attribute group decision making (MAGDM)
    • q-rung orthopair fuzzy sets (q-ROFSs)

    Fingerprint

    Dive into the research topics of 'Some interval-valued q-rung orthopair weighted averaging operators and their applications to multiple-attribute decision making'. Together they form a unique fingerprint.

    Cite this