A Quaternion’s Encoding Sine Cosine Algorithm

Sine cosine algorithm (SCA) is a new meta-heuristic algorithm based on sines and cosines. This paper presents quaternion sine cosine algorithm (QSCA). QSCA algorithm introduces the idea of coding individuals with quaternions. Each individual is composed of a real part and three imaginary parts, extending the search space from one dimension to four dimensions, which increases the diversity of the population in the algorithm, further enhances the ability of the algorithm to find the global optimal value, and improves the accuracy of the algorithm. QSCA has been tested using five standard benchmark functions. The results show that the algorithm has better global optimization ability and higher precision.