Novel Complex T-Spherical Dual Hesitant Uncertain Linguistic Muirhead Mean Operators and Their Application in Decision-Making

In this manuscript, the theory of complex T-spherical dual hesitant uncertain linguistic set is discovered, which is the mixture of three different ideas like the complex T-spherical fuzzy set, dual hesitant fuzzy set, and uncertain linguistic set. The complex T-spherical dual hesitant uncertain linguistic set composes the uncertain linguistic set, truth grade, abstinence grade, and falsity grade. Whose real and imaginary parts are the subset of a unit interval, and some of their operational laws are also presented. The theory of complex T-spherical dual hesitant uncertain linguistic Muirhead mean operator, complex T-spherical dual hesitant uncertain linguistic weighted Muirhead mean operator, complex T-spherical dual hesitant uncertain linguistic dual Muirhead mean operator and complex T-spherical dual hesitant uncertain linguistic weighted dual Muirhead mean operator are discovered. Some exceptional cases of the proposed operators are also examined. A multi-attribute decision making technique is further utilized based on explored operators. Moreover, an enterprise informatization level evaluation issue is resolved by using the presented operators to verify the proficiency and capability of the discovered approaches. Finally, some comparative analysis and advantages of the explored works are further developed to express that it is more flexible and effective than the existing methods.

Automated summary

This manuscript introduces the theory of complex T-spherical dual hesitant uncertain linguistic set, which combines three different ideas. Various mean operators are proposed and a multi-attribute decision making technique is explored. Through comparative analysis and advantage display, it is demonstrated that the new methods are more flexible and effective.