Complexity in data-driven fuzzy inference systems: Survey, classification and perspective

Abstract

Nowadays, data-driven fuzzy inference systems (FIS) have become popular to solve different vague, imprecise, and uncertain problems in various application domains. However, plenty of authors have identified different challenges and issues of FIS development because of its complexity that also influences FIS quality attributes. Still, there is no common agreement on a systematic view of these complexity issues and their relationship to quality attributes. In this paper, we present a systematic literature review of 1340 scientific papers published between 1991 and 2019 on the topic of FIS complexity issues. The obtained results were systematized and classified according to the complexity issues as computational complexity, complexity of fuzzy rules, complexity of membership functions, data complexity, and knowledge representation complexity. Further, the current research was extended by extracting FIS quality attributes related to the found complexity issues. The key, but not all, FIS quality attributes found are performance, accuracy, efficiency, and interpretability.