A perception-based logical deduction is formulated in the frame of fuzzy intensional logic. We will show that under certain conditions, this kind of deduction is also a universal approximator.

A new methodology for analysis and forecasting of time series is proposed. It directly employs two techniques: the fuzzy transform and the perception-based logical deduction. Due to the usage of both of them and due to the innovative approach consisting in a construction of several independent models, the methodology is successfully applicable for robust long time predictions. Keywords— Time se...

in this paper we turn the attention to a well developed theory of fuzzy/lin-guis-tic models that are interpretable and, moreover, can be learned from the data.we present four different situations demonstrating both interpretability as well as learning abilities of these models.

We present and analyze inference method called Perception-based Logical Deduction (PbLD) aimed at the treatment of fuzzy IF-THEN rules as linguistically expressed genuine logical implications. Besides the original PbLD, we propose a new balancing variant of PbLD, introduce both variants with fuzzy inputs and study them from the point of view of the interpolativity property.

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 logical deduction. Thanks to the use of both these methods, and to the innovative approach, consisting of the construction of several independent models, the methodology is successfully applicable to robust long-time predi...

An application of so-called perception-based logical deduction in the modeling of an economic analysis given in natural language is presented. Fuzzy IF-THEN rules and theory of evaluating linguistic expressions are used, and possibilities of automated reasoning are outlined.

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 this article, we present an alternative to it. The fuzzy IF–THEN rules are here interpreted as genuine linguistic sentences consisting of the so called evaluating linguistic expressions. Sets of fuzzy IF–THEN rul...

In this paper we will investigate which fuzzy/linguistic rules are redundant in systems of such rules called linguistic descriptions. We present a formal definition of redundancy and show that rules which are seemingly redundant can be in fact indispensable. These results apply for IF-THEN rules which use evaluative linguistic expressions (e.g., small, very big, etc.) and inference method calle...