ANCFIS swMATH ID: 34242 Software Authors: Zhifei Chen; Sara Aghakhani; James Man; Scott Dick Description: ANCFIS: A Neurofuzzy Architecture Employing Complex Fuzzy Sets. Complex fuzzy sets (CFSs) are an extension of type-1 fuzzy sets in which the membership of an object to the set is a value from the unit disc of the complex plane. Although there has been considerable progress made in determining the properties of CFSs and complex fuzzy logic, there has yet to be any practical application of this concept. We present the adaptive neurocomplex-fuzzy-inferential system (ANCFIS), which is the first neurofuzzy system architecture to implement complex fuzzy rules (and, in particular, the signature property of rule interference). We have applied this neurofuzzy system to the domain of time-series forecasting, which is an important machine-learning problem. We find that ANCFIS performs well in one synthetic and five real-world forecasting problems and is also very parsimonious. Experimental comparisons show that ANCFIS is comparable with existing approaches on our five datasets. This work demonstrates the utility of complex fuzzy logic on real-world problems. Homepage: https://ieeexplore.ieee.org/document/5654651 Related Software: ANFIS; TISEAN; TSDL; FLANN; TDSL; FFTW; Fuzzy ARTMAP; MCPSO; HyFIS Cited in: 12 Publications all top 5 Cited by 29 Authors 3 Dick, Scott 3 Yazdanbakhsh, Omolbanin 2 Mahmood, Tahir 1 Abdullah, Saleem 1 Ali, Zeeshan 1 Aljahdali, Sultan 1 Alkouri, Abd Ulazeez M. 1 Alolaiyan, Hanan Abdulaziz 1 Bi, Lvqing 1 Botmart, Thongchi 1 Chiang, Tai-Wei 1 Dai, Songsong 1 Garg, Harish 1 Gulistan, Muhammad 1 Gwak, Jeonghwan 1 Hu, Bo 1 Imtiaz, Aneeza 1 Kandel, Abraham 1 Karpenko, Daria 1 Khan, Neelam 1 Li, Chunshien 1 Liu, Yan 1 Qiyas, Muhammad 1 Razaq, Abdul 1 Salleh, Abdul Razak 1 Shuaib, Umer 1 Ur Rehman, Ubaid 1 van Gorder, Robert Ashton 1 Yang, Dakun all top 5 Cited in 9 Serials 2 Fuzzy Sets and Systems 2 Journal of Mathematics 1 Journal of the Franklin Institute 1 International Journal of Approximate Reasoning 1 Computational and Applied Mathematics 1 Complexity 1 Abstract and Applied Analysis 1 International Journal of Applied Mathematics and Computer Science 1 Journal of Function Spaces all top 5 Cited in 8 Fields 5 Mathematical logic and foundations (03-XX) 3 Statistics (62-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Group theory and generalizations (20-XX) 1 Partial differential equations (35-XX) Citations by Year