Wavelet-fuzzy power quality diagnosis system with inference method based on overlap functions: Case study in an AC microgrid

New constructions of decision evaluation functions in three-way decision spaces based on uninorms

“…Furthermore, according to actual situation, decision maker can choose specific and appropriate decision evaluation functions to solve decision-making problems. For example, overlap functions have been successfully applied to fuzzy community detection problems (Gómez et al 2016) and power quality diagnosis system (Nolasco et al 2019). Therefore, for these problems, decision maker can preferentially choose overlap and grouping functions-based decision evaluation functions.…”

Averaging functions on triangular fuzzy numbers

“…But there are many other aggregation functions and infinitely many members in most families. In general, there are several contributions to the study of aggregation functions, namely [27,28,29], which, we can find them in multi-criteria decision mak-ing problems [27,30], connectives in fuzzy logic [27,31], image processing [32,33,34,35], in IoT [36], classifier ensemble [37,38], forest fire detection [30], power quality diagnosis [39], motor-imagery-based brain-computer interface [40], in medicine to estimate the risks of a person to develop a disease [41], the increasing interest in the study of this topic by defining new classes of aggregation functions [32]. Among some of the classes to be defined we can find, for example, the pre-aggregation, variants of the Choquet integral and OWA functions [33,42,43,44,45].…”

N-Dimensional Admissibly Ordered Interval-Valued Overlap Functions and Its Influence in Interval-Valued Fuzzy-Rule-Based Classification Systems

“…Since the appearance of the concept of overlap functions, many authors have dedicated time to the theoretical research on their properties and related concepts, such as Qiao [10], Qiao and Hu [11], Dimuro et al [5], [8], [12], [13], Zhou and Yan [14], Zhu et al [15], Zhang et al [16] and Cao et al [17]. Moreover, the application of overlap function is getting attention mainly because the associativity is not required during the information aggregation process, like in image processing [18], decision making [19], [20], wavelet-fuzzy power quality diagnosis system [21], forest fire detection [22] and classification by generalizations of the Choquet integral [23], [24], [25], [26], [27]. Observe that, in some of the mentioned applications (e.g., decision making and classification), the continuity of overlap functions is not required.…”