The present manuscript is intended to be a textbook that could serve both undergraduate
and graduate students when studying Fuzzy Set Theory and Applications. It is also intended …

What is fuzzy logic?--a system of concepts and methods for exploring modes of reasoning
that are approximate rather than exact. While the engineering community has appreciated …

Multimodal medical image fusion has become a powerful tool in clinical applications. The
main aim is to fuse different multimodal medical images, obtained from different imaging …

Fuzzy transform is a novel, mathematically well founded soft computing method with many
applications. In this paper, we present this technique with applications to data analysis. First …

In the paper, the indeterminacy phenomenon is discussed, that is, a phenomenon having
two facets: uncertainty and vagueness. We argue that fuzzy sets are a reasonable …

In this paper, a fuzzy-based paradigm for data compression aimed at reducing the
computational burden of data analysis in smart grids (SGs) is proposed. In the SG context, it …

In this article, we return to the problem of the derivation of a conclusion on the basis of fuzzy
IF–THEN rules. The so‐called Mamdani method is well elaborated and widely applied. In …

The paper is devoted to a fuzzy approach to numerical solutions of partial differential
equations. Three main types of partial differential equations have been considered to …

We enlarge the class of fuzzy transforms (F-transforms) by considering different types of
fuzzy partitions. New types of F-transforms are constructed based on B-splines, Shepard …

Fuzzy transforms (or F-transforms for short) are an approximation technique recently
introduced. The main application is referred to image and data compression. There are …