Advances in Fuzzy Systems

Research Article

Fuzzy Rules for Ant Based Clustering Algorithm

Table 5

Mean, standard deviation, mode, min, and max values of accuracy classification achieved by each clustering algorithm (-means, -medoid, FCM, and ASClass) over 20 trials on dataset presented in Table 2.


Datasets	Algorithm	Mean	Std	Mode	Min	Max

Art1	-means	0.193	0.180	0.052	0.052	0.477
	-medoid	*0.226*	0.158	0.050	0.025	0.485
	FCM	0.445	1.139 × 10⁻¹⁶	0.445	0.445	0.445
	ASClass	0.352	1.708 × 10⁻¹⁶	0.352	0.352	0.352

Art2	-means	*0.452*	0.490	0.020	0.020	0.980
	-medoid	0.596	0.482	0.980	0.020	0.980
	FCM	0.020	3.559 × 10⁻¹⁸	0.020	0.020	0.020
	ASClass	0.965	4.556 × 10⁻¹⁶	0.965	0.965	0.965

Art3	-means	0.279	0.236	0.049	0.002	0.702
	-medoid	*0.201*	0.195	0.344	9.090 × 10⁻⁴	0.674
	FCM	0.066	1.423 × 10⁻¹⁹	0.066	0.066	0.066
	ASClass	0.661	0.001	0.660	0.660	0.662

Art4	-means	0.550	0.510	1	0	1
	-medoid	*0.427*	0.494	0	0	1
	FCM	0.015	8.898 × 10⁻¹⁶	0.015	0.015	0.015
	ASClass	0.984	1.139 × 10⁻¹⁶	0.984	0.984	0.984

Art5	-means	0.091	0.065	0.126	0.010	0.197
	-medoid	0.116	0.133	0.014	0.003	0.544
	FCM	0.094	4.271 × 10⁻¹⁷	0.094	0.094	0.094
	ASClass	0.493	2.278 × 10⁻¹⁶	0.493	0.493	0.493

Art6	-means	0.358	0.273	0.250	0	1
	-medoid	0.172	0.176	0	0	0.572
	FCM	*0.250*	0	0.250	0.250	0.250
	ASClass	0.918	0.002	0.918	0.912	0.921

Iris	-means	0.424	0.336	0.520	0	0.886
	-medoid	*0.289*	0.229	0	0	0.873
	FCM	0.253	5.695 × 10⁻¹⁷	0.253	0.253	0.253
	ASClass	0.745	0	0.745	0.745	0.745

Thyroid	-means	*0.212*	0.281	0.032	0.032	0.888
	-medoid	0.448	0.341	0.697	0.023	0.944
	FCM	0.074	0	0.074	0.074	0.074
	ASClass	0.650	1.139 × 10⁻¹⁶	0.650	0.650	0.650

Pima	-means	0.550	0.164	0.668	0.332	0.668
	-medoid	0.505	0.158	0.334	0.320	0.686
	FCM	0.333	1.139 × 10⁻¹⁶	0.3333	0.333	0.333
	ASClass	*0.454*	0.005	0.456	0.438	0.464