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Fuzzy multi-objective medical service organization selection model considering limited resources and stochastic demand in emergency management

fuzzy multi objective medical service organization selection model
weighted max min deterministic crisp nonlinear programming model

pone.0212308.e007">removedGRAPHIC f 1=∑ t=1 n ∑ j=1
pone.0212308.e008">removedGRAPHIC f 2=∑ t=1 n ∑ j=1
pone.0212308.e009">removedGRAPHIC f 3=∑ t=1 n ∑ j=1
pone.0212308.e010">removedGRAPHIC f 4=∑ t=1 n ∑ j=1
are<disp formula id="pone.0212308.e021">removedGRAPHIC ∑ t=1
t<F i -1 b i, i=1..., m,</disp formula><disp formula id="pone.0212308.e022">removedGRAPHIC F i -1 (σ i)<∑ t=1
i=1..., m,</disp formula><disp formula id="pone.0212308.e023">removedGRAPHIC ∑ t=1
maximum degree<disp formula id="pone.0212308.e029">removedGRAPHIC max μ D x=max x ∈ L { min p=1..., q μ f p x, min i=1
disp formula><disp formula id="pone.0212308.e030">removedGRAPHIC x 0=arg max x ∈ L { min p=1
i -1 (σ i) / F i -1 b i - F i -1 (σ i), i=1..., m</disp formula><disp formula id="pone.0212308.e039
i=1..., m</disp formula><disp formula id="pone.0212308.e040
i=1..., m</disp formula><disp formula id="pone.0212308.e041
i -1 (1 - σ i) - F i -1 (1 - b i), i=1..., m</disp formula><disp formula id="pone.0212308.e042
pone.0212308.e043">removedGRAPHIC μ D x={ { ∩ p=1
pone.0212308.e047">removedGRAPHIC μ D x=∑ j=1, eta + ∑ j=q + 1
disp formula><disp formula id="pone.0212308.e048">removedGRAPHIC ∑ p=1
disp formula><disp formula id="pone.0212308.e052">removedGRAPHIC eta<=μ f p x, p=1..., q</disp formula><disp formula id="pone.0212308.e053">removedGRAPHIC κ<=μ g i x, i=1..., m</disp formula><disp formula id="pone.0212308.e054">removedGRAPHIC x t ∈ L, t=1
pone.0212308.e058">removedGRAPHIC Max ∑ j=1, eta j + ∑ j=q + 1
p=1..., q</disp formula><disp formula id="pone.0212308.e060
i=1..., m</disp formula><disp formula id="pone.0212308.e061">removedGRAPHIC w j 1<=w j<=w j 2, j=1.., m + p</disp formula><disp formula id="pone.0212308.e062">removedGRAPHIC ∑ j=1
disp formula><disp formula id="pone.0212308.e063">removedGRAPHIC x t<0, t=1..., n</disp formula><disp formula id="pone.0212308.e064">removedGRAPHIC ∑ t=1
E j</disp formula><disp formula id="pone.0212308.e065">removedGRAPHIC ∑ t=1 n ∑ j=1