Linguistic dynamic systems and computing with words for complex systems

Abstract

This paper outlines a computational theory of linguistic dynamic systems for computing with words by fusing procedures and concepts from several different areas: Kosko's (1992) geometric interpretation of fuzzy sets, Hsu's (1987) cell-to-cell mappings in nonlinear analysis, equi-distribution lattices in number theory, and dynamic programming in optimal control theory. The proposed framework enables us to conduct a global dynamic analysis, system design and synthesis for linguistic dynamic systems that use words or linguistic terms in computation, based on concepts and methods well developed for conventional dynamic systems. This theory has significant potential for modeling and analysis of systems where model, goal, control and feedback are primarily specified in words or linguistic terms.