On modelling with words

Abstract

In this paper, we discuss a class of methods encapsulated under the term modelling with words. The theoretical frame is mathematical fuzzy logic in broader sense, namely its constituents: formal logical theory of evaluative linguistic expressions, intermediate quantifiers, and the related concepts of linguistic description and perception-based logical deduction. We present various kinds of applications based on this theory: control of complex processes, managerial decision making, analysis, forecasting and linguistic evaluation of time series, mining linguistic associations, and also linguistic summarization and deduction based on intermediate quantifier theory.

Keywords:

• fuzzy logic in broader sense
• decision making
• evaluative linguistic expressions
• fuzzy control
• time series

Acknowledgements

The paper was elaborated in the framework of the European Regional Development Fund in the IT4Innovations Centre of Excellence project (CZ.1.05/1.1.00/02.0070).

Notes

1. Let us emphasize that we use this term to denote a specific formal logical theory distinct from the Zadeh's fuzzy logic in wide sense.

2. ‘TE’ stands for ‘trichotomous evaluative’.

3. According to the general definition, the trend-cycle is a component that represents variations of low frequency in a time series, the high-frequency fluctuations having been filtered out and having period longer than a chosen threshold (usually 1 year = business cycle).