Abstract
A complex fuzzy set is an extension of the fuzzy set, of which membership grades take complex values in the complex unit disk. We present two complex fuzzy power aggregation operators including complex fuzzy weighted power (CFWP) and complex fuzzy ordered weighted power (CFOWP) operators. We then study two geometric properties which include rotational invariance and reflectional invariance for these complex fuzzy aggregation operators. We also apply the new proposed aggregation operators to decision making and illustrate an example to show the validity of the new approach.
Highlights
Complex fuzzy set (CFS) is introduced by Ramot et al [1] as a generalization of the traditional fuzzy set [2]
When wi 1/n (i 1, 2, . . . , n), the complex fuzzy weighted power (CFWP) operator is denoted by the complex fuzzy power average (CFPA)
When t 2, the CFWP operator is denoted by the complex fuzzy weighted quadric averaging (CFWQA) operator, i.e., CFWQA a1, a2, . . . , an n
Summary
Complex fuzzy set (CFS) is introduced by Ramot et al [1] as a generalization of the traditional fuzzy set [2] It is characterized by a complex-valued membership grade including amplitude and phase terms. Erefore, the CFS can describe two features of data It is more general than the traditional fuzzy set. Erefore, it is necessary to extend the power aggregation operators to the complex fuzzy environment. Erefore, it is necessary to consider complex fuzzy aggregation operators without rotational invariance (or without reflectional invariance). E aim of this paper is to develop the power aggregation operators for situations with complex fuzzy information. We present an application of the complex fuzzy power aggregation operators in a decisionmaking problem concerning the evaluation of a target location.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
