Journal of Mathematics

Research Article

[Retracted] Interval Information Content of Fuzzy Relation and the Application in the Fuzzy Implication Operators

Interval information content of I_i.


I_i	The average insertion of 9 points	The average insertion of 19 points	The average insertion of 99 points	The random insertion of 9 points

I₁	[0.5995, 0.6340]	[0.6155, 0.6477]	[0.6292, 0.6595]	[0.4978, 0.5060]
I₂	[0.5126, 0.5126]	[0.5304, 0.5304]	[0.5460, 0.5460]	[0.3506, 0.3944]
I₃	[0.2592, 0.2592]	[0.2495, 0.2495]	[0.2410, 0.2410]	[0.2400, 0.2679]
I₄	[0.3825, 0.3825]	[0.3853, 0.3853]	[0.3875, 0.3875]	[0.2972, 0.3305]
I₅	[1.0813, 1.0813]	[1.2214, 1.2214]	[1.3760, 1.3760]	[0.7492, 0.7905]
I₆	[1.2058, 1.2058]	[1.4142, 1.4142]	[1.6487, 1.6487]	[0.8869, 0.9217]
I₇	[0.3509, 0.3509]	[0.3603, 0.3603]	[0.3692, 0.3692]	[0.3301, 0.3301]
I₈	[0.3119, 0.4205]	[0.3077, 0.4075]	[0.3067, 0.3925]	[0.2545, 0.3775]
I₉	[0.6514, 0.6514]	[0.6854, 0.6854]	[0.7141, 0.7141]	[0.5656, 0.6152]
I₁₀	[0.4320, 0.5303]	[0.4394, 0.5192]	[0.4531, 0.5043]	[0.3051, 0.4310]
I₁₁	[1.2174, 1.2174]	[1.4865, 1.4865]	[1.8393, 1.8393]	[0.9064, 0.9215]
I₁₂	[0.3817, 0.5126]	[0.3916, 0.5304]	[0.4016, 0.5460]	[0.2917, 0.4293]
I₁₃	[0.3817, 0.5126]	[0.3916, 0.5304]	[0.4016, 0.5460]	[0.4228, 0.5118]