In this first chapter of Part I, we discuss families of fuzzy implications obtained from binary
operations on the unit interval [0, 1], ie, from basic fuzzy logic connectives, viz., t-norms, t …

The technique of direct and inverse fuzzy (F-) transforms of three different types is introduced
and approximating properties of the inverse F-transforms are described. All three types of …

Provides a unique and methodologically consistent treatment of various areas of fuzzy
modeling and includes the results of mathematical fuzzy logic and linguistics This book is …

This paper provides a logical basis for manipulation with fuzzy IF-THEN rules. Our theory is
wide enough and it encompasses not only finding a conclusion by means of the …

In this paper we provide a general approach for the concepts and processes related to the
generation of linguistic descriptions of time series. As we will see, this approach consists of …

A new methodology for the analysis and forecasting of time series is proposed. It directly
employs two soft computing techniques: the fuzzy transform and the perception-based …

This paper is focused on the special properties of functions (monotonicity, Lipschitz
continuity) that are invariant with fuzzy transform. On the basis of the monotonicity …

Accurate time series forecasting is a key issue to support individual and organizational
decision making. In this paper, we introduce novel methods for multi-step seasonal time …

This paper is devoted to reasoning about fuzzy logic which is based on various personal
observations of the author. Our goal is to think of the state of the art in mathematical fuzzy …

We claim that a fuzzy relation which models a system of fuzzy IF–THEN rules has the
property of continuity only if the underlying system of fuzzy relation equations is solvable. In …