IFFuzzyStats: Intuitionistic Fuzzy Statistics Toolkit

Intuitionistic fuzzy sets (Atanassov, 1986) carry membership \(\mu\), non-membership \(\nu\) (\(\mu+\nu\le 1\)) and hesitation \(\pi=1-\mu-\nu\). IFFuzzyStats is a zero-dependency (base-R only) toolkit covering:

• ifv() constructor + if_add(), if_mul(), if_scalar_mul(), if_pow() (Xu arithmetic) and Einstein variants
• aggregation: ifwa(), ifwg(), ifowa(), ifowg(), ifha(), ifhg(), if_einstein_wa(), if_einstein_wg()
• entropy: if_entropy() (Burillo, Szmidt-Kacprzyk, Vlachos-Sergiadis, Zeng-Li)
• distance: if_dist() (Hamming, Euclidean, Hausdorff, Ye, Ye-cosine, Park)
• similarity: if_sim() (Chen, Hong-Kim, Ye cosine/weighted, Jaccard/Deng, Dice)
• inference: if_compose(), if_infer(), if_rule_block()
• clustering: ifcmeans(), ifkmeans()
• decisions: if_topsis(), if_rank(), if_rank_df()
• converters: if_fuzzify(), if_defuzzify(), if_score()

Install

# from local source
install.packages("/path/to/IFFuzzyStats_0.1.0.tar.gz", repos = NULL, type = "source")

Quick start

library(IFFuzzyStats)
x <- ifv(c(0.6, 0.5, 0.7), c(0.3, 0.2, 0.1))
ifwa(x, c(0.5, 0.3, 0.2))
if_entropy(x, "szmidt")
if_sim(x, ifv(c(0.5, 0.4, 0.6), c(0.3, 0.3, 0.2)), "ye_cosine")

References

Atanassov (1986) Fuzzy Sets and Systems 20(1); Xu (2007) IEEE TFS 15(6); Szmidt & Kacprzyk (2000) FSS 114(3); Vlachos & Sergiadis (2007) PRL 28(2); Ye (2011) MCM 53(1-2); Boran et al. (2009) ESWA 36(8).