Complex Interval-Valued q-Rung Orthopair 2-Tuple Linguistic Aggregation Operators and Their Application in Multi-Attribute Decision-Making

ABSTRACT

This study aims to study the conception of the complex interval-valued q-rung orthopair 2-tuple linguistic set (CIVQRO2-TLS), which is a new powerful mixture to handle unreliable and vague data in realistic decision concerns. We also explore its fundamental properties as well as important laws. In the occurrence of the above theory, we discover some useful aggregation methods for the CIVQRO2-TLS, including the CIVQRO2-TLWA, CIVQRO2-TLOWA, CIVQRO2-TLHA, CIVQRO2-TLWG, CIVQRO2-TLOWG, and CIVQRO2-TLHG operators. To demonstrate the beneficial features of the invented works, a multi-attribute decision-making (MADM) system is presented and exposed to the supremacy of the presented operators with the help of several examples. In last, we elaborate on the advantages, comparative analysis, and graphical interpretation of the invented approaches.

Acknowledgments

The authors are very grateful to the anonymous reviewers and the editor for their valuable comments and constructive suggestions that improve the previous versions of this paper. This work is supported by National Social Science Foundation of China (20CTJ016, 21ATJ010), the Social Sciences Planning Projects of Zhejiang (21QNYC11ZD), Statistical Scientific Key Research Project of China (2021LZ33), Statistical Scientific Key Research Project of Zhejiang (21TJZZ25), Fundamental Research Funds for the Provincial Universities of Zhejiang (SJWZ2020002), Longyuan Construction Financial Research Project of Ningbo University (LYYB2002), Statistical Scientifific Key Research Project of China and the First-Class Discipline of Zhejiang-A (Zhejiang Gongshang University-Statistics).

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by the Social Sciences Planning Projects of Zhejiang [21QNYC11ZD]; Statistical Scientific Key Research Project of Zhejiang [21TJZZ25]; Longyuan Construction Financial Research Project of Ningbo University [LYYB2002]; National Social Science Foundation of China [20CTJ016, 21ATJ010]; Fundamental Research Funds for the Provincial Universities of Zhejiang [SJWZ2020002]; Statistical Scientific Key Research Project of China [2021LZ33].