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Table 2 Collected data for different fuzzy-rough parameters

From: Three-layer supply chain in an imperfect production inventory model with two storage facilities under fuzzy rough environment

Fu-Ro

Fu-Ro

Input

Expected

Value

parameters

value

values

value

 

h - ~ s

Near roughly (0.5)

( 0.49 ― , 0.50 ― , 0.51 ― , 0.52 ― )with ([ −0.04,0.04],[ −0.08,0.08])

E[ h - ~ s ]

5.05

h - ~ m

Near roughly (1.7)

( 1.5 ― , 1.6 ― , 1.7 ― , 1.8 ― )with ([ −0.2,0.2],[ −0.4,0.4])

E[ h - ~ m ]

1.65

h − − ~ m

Near roughly (1.5)

( 1.35 ― , 1.40 ― , 1.50 ― , 1.55 ― )with ([ −0.18,0.18],[ −0.36,0.36])

E[ h ′ - ~ m ]

1.45

h - ~ r

Near roughly (1.6)

( 1.54 ― , 1.6 ― , 1.63 ― , 1.67 ― )with ([ −0.12,0.12],[ −0.24,0.24])

E[ h - ~ r ]

1.61

h - - ~ r

Near roughly (1.3)

( 1.15 ― , 1.22 ― , 1.3 ― , 1.37 ― )with ([ −0.11,0.11],[ −0.22,0.22])

E[ h ′ - ~ r ]

1.26

h - ~ rs

Near roughly (1.8)

( 1.67 ― , 1.72 ― , 1.80 ― , 1.85 ― )with ([ −0.13,0.13],[ −0.26,0.26])

E[ h - ~ rs ]

1.78

A ― ~ s

Near roughly (420)

( 416 ― , 420 ― , 425 ― , 428 ― )with ([ −0.30,0.30],[ −0.60,0.60])

E[ A - ~ s ]

422.25

A - ~ m

Near roughly (500)

( 486 ― , 495 ― , 500 ― , 510 ― )with ([ −0.29,0.29],[ −0.58,0.58])

E[ A - ~ m ]

491.50

A - ~ r

Near roughly (400)

( 395 ― , 400 ― , 408 ― , 410 ― )with ([ −0.35,0.35],[ −0.70,0.70])

E[ A - ~ r ]

403.25

A ― ~ cs

Near roughly (3)

( 2.5 ― , 2.8 ― , 3.0 ― , 3.15 ― )with ([ −0.3,0.3],[ −0.6,0.6])

E[ I - ~ cs ]

2.86

I - ~ cm

Near roughly (2)

( 1.9 ― , 1.96 ― , 2.0 ― , 2.04 ― )with ([ −0.21,0.21],[ −0.42,0.42])

E[ I - ~ cm ]

1.97

c - ~ tp

Near roughly (1.4)

( 1.36 ― , 1.40 ― , 1.43 ― , 1.47 ― )with ([ −0.14,0.14],[ −0.28,0.28])

E[ c - ~ tp ]

1.42

c ′ - ~ tp

Near roughly (1.0)

( 0.90 ― , 0.97 ― , 1.0 ― , 1.06 ― )with ([ −0.01,0.01],[ −0.02,0.02])

E[ c ′ - ~ tp ]

0.98

  1. The value of h - ~ s isnearroughly(0.5)=( 0.49 ― , 0.50 ― , 0.51 ― , . 52 ― )with oscillation([−0.04,0.04],[−0.08,0.08])means that 0.49 ― ⊢([0.45,0.53],[0.41,0.57]), 0.50 ― ⊢([0.46,0.54],[0.42,0.58]), 0.51 ― ⊢([0.47,0.55],[0.43,0.59])and 0.52 ― ⊢([0.48,0.56],[0.44,0.60]).