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.
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[aut, cre],
Gunjan Aggrwal [aut],
Mukul Jain [aut]