A Generalization of Rotational Invariance for Complex Fuzzy Operations.

Complex fuzzy sets (CFSs) are a new extension of fuzzy sets, whose membership grades are vectors in the unit circle of the complex plane. Complex fuzzy operations are of high importance in both theoretical and applied studies of CFSs. The property of rotational invariance is highly pertinent to complex fuzzy operations. To enhance and extend the applicability of complex fuzzy operations, this article develops new types of rotational invariance for complex fuzzy operations. These rotational invariances are raised by different rotation operations of the arguments of complex fuzzy operations. After that, rotational invariance of several complex fuzzy operations is studied. [ABSTRACT FROM AUTHOR]