# Table 1 Notations used in this paper

Notation Description
$${\mathcal{D}} = \left\{ {d_{i} |i\, = \,\overline{1,Q} } \right\}$$ The set of reviews’ text, where Q is the number of reviews
$${\mathcal{Y}} = \left\{ {y_{i} |i\, = \,\overline{1,Q} } \right\}$$ The set of overall rating, yi is overall rating corresponded with di
$${\mathcal{A}} = \left\{ {a_{1} ,a_{2} , \ldots ,a_{K} } \right\}$$ The set of aspect, where K is the number of aspects
$${\mathcal{C}}_{\text{j}} \, = \,\left\{ {w_{j1} ,w_{j2} , \ldots ,w_{jN} } \right\}$$ The set of associated core terms for aspect aj, where N is the number of words
$${\mathcal{V}}\, = \,\left\{ {{\text{w}}_{\text{k}} |{\text{ k}}\, = \,\overline{{1,{\text{P}}}} } \right\}$$ The corpus of words, where P is the number of words
$${\mathcal{S}}_{\text{j}} \, = \,\left\{ {{\text{s}}_{\text{j1}} ,{\text{s}}_{\text{j2}} , \ldots ,{\text{s}}_{\text{jM}} } \right\}$$ The set of sentences are assigned aspect aj, where M is the number of sentences
$${\mathcal{T}}_{\text{j}} \, = \,\left\{ {w_{j1} ,w_{j2} , \ldots ,w_{jT} } \right\}$$ The set of aspect words are aspect expressions, where $${\mathcal{T}}_{\text{j}}$$ is the expression for aspect aj, and T is the number of words
$${\mathbf{i}}_{\text{j}} \in {\mathbb{R}}^{\text{K}}$$ The aspect rating inferred from review di over K aspect, ri = ($$r_{{i_{1} }} ,r_{{i_{2} }} , \ldots r_{{i_{K} }}$$)
$${\varvec{\upalpha}}_{\text{i}} \in {\mathbb{R}}^{\text{K}}$$ The aspect weights user places on K aspect within reviews’ text di, $${\varvec{\upalpha}}_{\text{i}} = \left( {\alpha_{{i_{1} }} ,\alpha_{{i_{2} }} , \ldots ,\alpha_{{i_{K} }} } \right)$$
$${\text{y}}_{\text{i}} \in {\mathbb{R}}^{ + }$$ The overall rating of review di
$$r_{{i_{j} }}$$ The aspect rating on j-th aspect of review i, $$r_{{i_{j} }}$$ [1,5]
$$\alpha_{{i_{j} }}$$ The aspect weight of j-th aspect of review i, $$\alpha_{{i_{j} }}$$ [0,1]