L-fuzzy sets for group linguistic preference modeling: An application to assess a firm's performance

Given a finite totally ordered set of linguistic descriptions, the extended set of qualitative labels with different levels of precision L is constructed. In this framework, qualitative descriptions of a given set are L-fuzzy sets. A distance between L-fuzzy sets is introduced based on the properties of the lattice L. An illustrative example in the retail sector applied to assess a firm's overall performance using perceptions of managers in the firm's different departments is presented.