Our Reasoning is Clearly Fuzzy, so Why Is Crisp Logic So Often Adequate?

Authors

Hung T. Nguyen, New Mexico State University - Main CampusFollow
Berlin Wu, National Chengchi UniversityFollow
Vladik Kreinovich, The University of Texas at El PasoFollow

Publication Date

2-2015

Comments

Technical Report: UTEP-CS-15-15

Abstract

Our reasoning is clearly fuzzy, so why is crisp logic so often adequate? We explain this phenomenon by showing that in the presence of noise, an arbitrary continuous (e.g., fuzzy) system can be well described by its discrete analog. However, as the description gets more accurate, the continuous description becomes necessary.