A fuzzy handling of trend objective declaration and trend performance expression. Issue 3 (2015) - Foulloy, Laurent
Abstract: On the basis of previous works, we choose to focus here on a fuzzy processing of both the declaration of the objective and the performance expression. The new idea developed in this study consists of handling a "trend" objective declaration, based on linguistic declarations of trends and Zadeh's precisiation concept, and then to analyse the impact of this on the performance expression. Indeed, knowing that an objective is declared by a target value and a temporal horizon, such a value can be more or less precise, declared in the form of a single final value or a trend value, throughout the temporal horizon. Moreover, the temporal horizon can be explicitly described by a numerical interval or only by its boundary. Given that the performance expression is defined as the achievement degree of the objective, such an expression can be enriched, in the case where the objective is declared by a trend value, by an expression that gives information about the trend of the objective achievement. Instantaneous and trend performances are thus jointed, leading in this sense to the handling of the temporal aspect that is inherent to the achievement of the objective and that suggests the trend performance expression. Throughout the study, the propositions are illustrated via a ratio rate objective.