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This paper investigates the question of the interpretability of fuzzy linguistic summaries, both at the sentence level and at the summary level, seen as a set of sentences. The individual sentence interpretability is examined as depending both on its representativity measured by a quality degree and on its linguistic expression. Different properties at the summary level are also discussed, namely...
This paper proposes a method to linguistically summarise the local periodic components of a time series: it identifies subparts of the data which are periodic, together with their periodicity degree and period, and provides a linguistic description thereof. The generated sentences can be illustrated by the example “Approximately from March to June, the series is highly periodic with a period of exactly...
An important aspect of interpretability in Fuzzy Linguistic Summaries (FLS) is the absence of opposition therein, which is not guaranteed by the the current approaches used for their generation, possibly leading to confusion for the end-user. In this paper, we first introduce a 3-level hierarchy to organise the models of opposition starting from simpler sentences, then enriched with generalised quantifiers...
The paper presents a methodology to evaluate the periodicity of a temporal data series, neither relying on assumption about the series form nor requiring expert knowledge to set parameters. It exploits tools from mathematical morphology to compute a periodicity degree and a candidate period, as well as the fuzzy set theory to generate a natural language sentence, improving the result interpretability...
Along with the increase of the amount of data stored and to be analyzed, different techniques of data analysis have been developed over the years. One of them, the linguistic summary, aims at summing up large volume of data into simple sentences. In this paper, we present an overview of two main streams of research, namely fuzzy logic based systems and natural language generation, covering the methods...
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