This paper looks to introduce the reader to the idea of a fuzzy logic system and how this type of system differs from traditional propositional logic systems by way of summarizing the foundational ideas presented in Hájek’s Metamathematics of Fuzzy Logic. Because a fuzzy system has different laws from a standard propositional one, propositional logic operations such as conjunction and implicati...

Knowledge representation is one of the central concepts in Artificial Intelligence. It is very common that knowledge about a field is expressed in natural language (English, Spanish, etc). Therefore, most of the times, knowledge representation using a logic programming language derives into a translation problem. This translation consists in the formalization of the statements, belonging to the...

In this paper state of the art of the fuzzy logic based visual object recognition systems is discussed. One of the major objectives of the computer vision is to recognize various objects from images. Application of fuzzy logic facilitates the smooth translation of ambiguous image information into natural language which can be processed by fuzzy set theory. Various methods of fuzzy object recogn...

In [1], we gave reasons to focus on one of the possible future directions fuzzylogic towards concept fuzzy natural logic (FNL). [...]

During recent years several attempts have been made to incorporate environmental and natural resources degradation into national accounts. GNP as measured by the traditional system of national accounts does not consider environmental degradation caused by inefficient exploitation of natural resources. While the complete omission of environmental impacts is not possible, there could be an optima...

All practical digital circuits are usually a mixture of combinational and sequential logic. Flip–flops are essential to sequential logic therefore fuzzy flip–flops are considered to be among the most essential topics of fuzzy digital circuit. The concept of fuzzy digital circuit is among the most interesting applications of fuzzy sets and logic due to the fact that if there has to be an ultimat...

A method for Information Extraction (IE) in a set of knowledge is proposed in this paper in order to answer to user consultations using natural language. The system is based on a fuzzy logic engine, which takes advantage of its flexibility for managing sets of accumulated knowledge. These sets can be built in hierarchic levels by a tree structure. A method of consultation based on a fuzzy logic...

The paper deals with fuzzy logic in narrow sense of Lukasiewicz style, i.e. a special kind of many-valued logic which is aimed at modeling of vagueness phenomenon. This logic is a generalization of Lukasiewicz logic with many interesting properties (for example, generalization of the deduction and completeness theorems hold in it). Our aim is to prepare the background for the resolution in fuzz...

In this paper, we intend to generalize the classical set theory as much as possible. we will do this by freeing sets from the regular properties of classical sets; e.g., the law of excluded middle, the law of non-contradiction, the distributive law, the commutative law,etc.... The fuzzy set theory succeeded in freeing sets from the law of excluded middle and the law of contradiction. However, i...