On present logico-methodological challenges to fuzzy systems

Abstract

Today fuzzy systems play an important role in the quantitative research. This is due to their novel approach to reasoning and concept formation. On the other hand, fuzzy systems have been controversial in particular among the philosophers and mathematicians. Hence, the dissemination of these new ideas has encountered many problems. Additional criticism has arisen because various logico-methodological approaches to the fuzzy systems are adopted as well as we still have quite many unresolved problems in our basic theories. Below we consider some basic problems which still arise in the theories of fuzzy systems. We also sketch some tentative resolutions for them. © 2013 Springer-Verlag Berlin Heidelberg.