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Table of Abbreviations

Abbreviation	Full Name	Location
AOLS	approximate optimistic linear support	Algorithm 5.10, Section 5.5
CCS	convex coverage set	Definition 3.7, Section 3.2.2
CH	convex hull	Definition 3.6, Section 3.2.2
CHVI	convex hull value iteration	Section 4.3.2
CLS	Cheng’s linear support	Section 5.3
CMOVE	multi-objective variable elimination	Section 4.2.3
CoG	coordination graph	Definition 2.4, Section 2.2.1
CS	coverage set	Definition 3.5, Section 3.2
f	scalarization function	Definition 1.1, Section 1.1
MDP	Markov decision process	Definition 2.6, Section 2.3.1
MO-CoG	multi-objective coordination graph	Definition 2.5, Section 2.2.2
MODP	multi-objective decision problem	Definition 2.2, Section 2.1
MOMDP	multi-objective Markov decision process	Definition 2.8, Section 2.3.2
MORL	multi-objective reinforcement learning	Chapter 6
MOVE	multi-objective variable elimination	Algorithm 4.5, Section 4.2.3
MOVI	multi-objective value iteration	Section 4.3.2
OLS	optimistic linear support	Algorithm 5.8, Section 5.3
OLS-R	optimistic linear support with reuse	Algorithm 5.11, Section 5.6
PMOVI	Pareto multi-objective value iteration	Section 4.3.2
PCS	Pareto coverage set	Definition 3.11, Section 3.2.4
PMOVE	Pareto multi-objective variable elimination	Section 4.2.3
POMDP	partially observable Markov decision process	Section 5.2.1
PF	Pareto front	Definition 3.10, Section 3.2.4
SODP	single-objective decision problem	Definition 2.1, Section 2.1
U	undominated set	Definition 3.4, Section 3.2
VE	variable elimination	Algorithm 4.4, Section 4.2.1
VELS	variable elimination linear support	Section 5.7
VI	value iteration	Section 4.3.1
V^π	value vector of a policy π	Definition 2.2, Section 2.1
Π	a set of allowed policies	Definition 2.1, Section 2.1
≻_P	Pareto dominance relation	Definition 3.3, Section 3.1.2

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