Algorithm 1 Algorithm for fuzzy-based microservice computing resource scaling (FMCRS)
Initialization:
	$\mathrm{Edge} \mathrm{computing} \mathrm{nodes} \mathrm{set}\text{:} M_i=\left\{1, 2, 3, \dots , M\right\}, 0<i\le M$; $\mathrm{CPU} \mathrm{usage} \mathrm{for} \mathrm{edge} \mathrm{node} \mathrm{set}\text{:} M_{i_{cpu}}, i\in M$; $\mathrm{Memory} \mathrm{usage} \mathrm{for} \mathrm{edge} \mathrm{node} \mathrm{set}\text{:} M_{i_{mem}}, i\in M$; $\mathrm{Microservices} \mathrm{set}\text{:} N_i=\left\{1, 2, 3, \dots , N\right\}, 0<i\le N$; $\mathrm{CPU} \mathrm{usage} \mathrm{for} \mathrm{microservice} \mathrm{set}\text{:} K_{i_{cpu}}, i\in N;$ $\mathrm{Memory} \mathrm{usage} \mathrm{for} \mathrm{microservice} \mathrm{set}\text{:} K_{i_{mem}}, i\in N;$ Gaussian membership function of fuzzy interference system with standard deviation σ and mean value μ; $\mathrm{microservice} \mathrm{scaled} \mathrm{CPU} \mathrm{extent} \mathrm{set}\text{:} S_{r_{cpu}}=\varnothing , r\in N$; $\mathrm{microservice} \mathrm{scaled} \mathrm{Memory} \mathrm{extent} \mathrm{set}\text{:} S_{r_{mem}}=\varnothing , r\in N$.
1:	For$\mathrm{Each} \mathrm{microservice} i\in N$Do
2:	For$\mathrm{each} K_{i_{cpu}}$$\mathrm{and} K_{i_{mem}}$Do
3:	Calculate Gaussian membership values according to (2) and (3), respectively;
4:	Optimize Gaussian membership function according to (5), (6), and (7), respectively;
5:	$\mathrm{Calculate} S_{r_{cpu}}$$\mathrm{and} S_{r_{mem}}$ according to (4);
6:	if$S_{r_{cpu}}<\left(1-M_{i_{cpu}}\right)$ $\mathrm{and} S_{r_{mem}}<\left(1-M_{i_{mem}}\right)$ then
7:	Run horizontal scaling;
8:	else
9:	Calculate the priority of microservice according to (8);
10:	Run vertical scaling;
11:	end if
12:	end for
13:	end for
Output: Microservices with the scaled computing resources.