Fuzzy logic-based Northern Goshawk algorithm optimization and hybridization of the Northern Goshawk and Black Widow algorithms

Innovations and new methods for solving long and difficult mathematical puzzles are essential to advances in many branches of research and knowledge. As a result, experts have proposed intelligent algorithms, which are determined by their ability to quickly and efficiently answer the most difficult mathematical puzzles. To achieve the greatest results in this worksheet, we used two different strategies. The first method involved integrating the Goshawk Optimization algorithm (NGOA) with fuzzy logic (FL), while the second method was based on two hybrids, the first by linking communities and the second by linking the equations between the Black Widow Optimization algorithm (BWOA) with the Northern Goshawk optimization algorithm (NGOA). Then we applied both techniques to the basic functions of ten algorithmic functions to get the results.