Package: IFFuzzyStats 0.1.0

IFFuzzyStats: Intuitionistic Fuzzy Statistics

Provides constructors and arithmetic for intuitionistic fuzzy values (intuitionistic fuzzy value, IFV) for intuitionistic fuzzy sets (Atanassov (1986) <doi:10.1016/S0165-0114(86)80034-3>), including aggregation operators of Xu (2007) <doi:10.1109/TFUZZ.2006.890678> and Xu and Yager (2006) <doi:10.1080/03081070600574353>: intuitionistic fuzzy weighted averaging (IFWA), intuitionistic fuzzy weighted geometric (IFWG), intuitionistic fuzzy ordered weighted averaging (IFOWA), intuitionistic fuzzy ordered weighted geometric (IFOWG), intuitionistic fuzzy hybrid averaging (IFHA), intuitionistic fuzzy hybrid geometric (IFHG), and Einstein operators; entropy (Szmidt and Kacprzyk (2000) <doi:10.1016/S0165-0114(98)00402-3>; Vlachos and Sergiadis (2007) <doi:10.1016/j.patrec.2006.07.004>) and distance and similarity measures, including Ye (2011) <doi:10.1016/j.mcm.2010.07.022> cosine similarity and Hamming, Euclidean and Hausdorff distances; intuitionistic fuzzy c-means and k-means clustering; approximate reasoning via compositional inference; and multi-criteria decision support via intuitionistic fuzzy Technique for Order of Preference by Similarity to Ideal Solution (IF-TOPSIS) (Boran et al. (2009) <doi:10.1016/j.eswa.2009.03.039>) and score ranking. All computations use only base R with fully vectorised implementations.

Authors:Mukul Bijalwan [aut, cre], Gunjan Aggrwal [aut], Mukul Jain [aut]