Fuzzy Analysis for Thin-Film Flow of a Third-Grade Fluid Down an Inclined Plane

Table 3

Method of slope linear regression through the fuzzy velocity at and data points for different values of on Microsoft Excel 2016.

A	B	C	D	E	α-cut	u (x, α)	(x, α)	Mid values
0	0.05	0.7997	0.4249		0	0.05	0.8636	0.4568
0.1	0.0859	0.7573	0.4216		0.1	0.0883	0.8163	0.4523
0.2	0.122	0.7159	0.419		0.2	0.1267	0.7705	0.4486
0.3	0.1581	0.6757	0.4169		0.3	0.1652	0.7259	0.4456
0.4	0.1944	0.6365	0.4155		0.4	0.2039	0.6826	0.4433
0.5	0.231	0.5982	0.4146		0.5	0.2429	0.6405	0.4417
0.6	0.2678	0.5609	0.4144		0.6	0.2823	0.5995	0.4409
0.7	0.305	0.5249	0.4147		0.7	0.3222	0.5595	0.441
0.8	0.3427	0.4887	0.4157		0.8	0.3625	0.5205	0.4415
0.9	0.3808	0.4538	0.4173		0.9	0.4034	0.4824	0.4429
1	0.4195	0.4195	0.4195		1	0.445	0.445	0.445
Slope	0.368764	−0.37944	−0.00542		Slope	0.394109	−0.41768	−0.01177
	γ = 0.50					γ = 0.55