50 Years of Fuzzy: from Discrete to Continuous to -- Where?

Authors

Vladik Kreinovich, The University of Texas at El PasoFollow
Hung T. Nguyen, New Mexico State University - Main CampusFollow
Olga Kosheleva, The University of Texas at El PasoFollow
Rujira Ouncharoen, Chiang Mai UniversityFollow

Publication Date

12-2014

Comments

Technical Report: UTEP-CS-14-74

Abstract

While many objects and processes in the real world are discrete, from the computational viewpoint, discrete objects and processes are much more difficult to handle than continuous ones. As a result, a continuous approximation is often a useful way to describe discrete objects and processes. We show that the need for such an approximation explains many features of fuzzy techniques, and we speculate on to which promising future directions of fuzzy research this need can lead us.