Li Fu1 & Feng Qin1,2 152 Accesses Explore all metrics Abstract In this paper, incorporating the concepts of fuzzy sets and ternary soft sets, the ternary fuzzy soft sets could be introduced in formal context (information system). These ternary fuzzy soft sets, by integrating the idea of ...
, the concept of a three-way fuzzy set (TFS for short) is presented in [32] (as the reference is written in Chinese, the link is Three-way fuzzy sets and their applications (I)). The contributions of [32] are listed as follows: (1) the notion of the TFS is presented which can...
Fuzzy setsgroups words (and objects) based onshared characteristics.For example, the shape of an American football, rugby ball, and an egg make these items more or less similar (oblong shape), but football and rugby are closer because they also share the qualities of bounce and sport (notwit...
2024, Fuzzy Sets and Systems Citation Excerpt : Shen et al. [54] utilized IT2 possibilistic fuzzy c-means (FCM) & Fuzzy NN (FNN) in CNN based on residual learning & U-Net (i.e., ResU-segNet) for breast cancer diagnosis. Ghosh et al. [55] explored image processing for studying the...
In the Department of Psychology, Eleanor Rosch (who happens to be myself) was doing empirical psychological research on the nature of concepts and categorization, matters that, from the time of the Greeks, had been assumed to have the basic form of classical sets. The prevailing belief was ...
For most real life data-sets, the size of the data I am sure is not as simple as shown in the examples. Since this library can be used to match elements against a large set of records, knowing how it performs is essential. The performance characteristics varies primarily on MatchType bei...
A fuzzy set is empty if and only if its membership function is identically zero on X. Two fuzzy sets A and B are equal, written as A = B, if and only if f~(x) = f~(x) for all x in X. (In the sequel, instead of writingfA(x) = f~(x) for all x in X, we shall ...
All experimental results show that fuzzy kNNModel obtains similar results and in some cases (mainly the toxicity data sets) outperforms other methods (Guo and Neagu, 2005). However, a main drawback for most fuzzy hybrid models, for which further research is required, regards how to choose ...
In our approach, fuzzy membership functions represent risk categories, and the risk computation follows a rule-based inference mechanism. Our results show that fuzzy sets and fuzzy rules adequately represent the expert knowledge and risk perception of the FMECA team members. Because our fuzzy-FMECA ...
The output of each rule is a fuzzy set derived from the output membership function and the implication method of the FIS. These output fuzzy sets are combined into a single fuzzy set using the aggregation method of the FIS. Then, to compute a final crisp output value, the combined output ...