It is shown the complete equivalence between the theory of continuous (enumeration) fuzzy closure operators and the theory of (effective) fuzzy deduction systems in Hilbert style. Moreover, it is proven that any truth-functional semantics whose connectives are interpreted in [0,1] by continuous functions is axiomatizable by a fuzzy deduction system (but not by an effective fuzzy deduction syste...

An approach to fuzzy control based on fuzzy logic in narrow sense (fuzzy inference rules + fuzzy set of logical axioms) is proposed. This gives an interesting theoretical framework and suggests new tools for fuzzy control. c © 2001 Elsevier Science B.V. All rights reserved.

We study generalized deduction rules of cut and weakening in the context of equational fragment of Pavelkastyle fuzzy logic using complete residuated lattices as the structures of truth degrees. The deduction rules in question are parameterized by a truth stresser, an additional unary operation on the structure of truth degrees. It is shown that the deductive system of fuzzy Horn logic can be r...

agility has an undeniable effect on organization success inthe present changing markets, and information technology (it) is a majorfacilitating factor in business activities of organizations nowadays,as about more than a half of present organizations capitals is based onit. therefore, assessment of the it application level and organizationalagility, and study of the effect of application of it ...

This paper studies computational properties of fuzzy logic deduction and compares them with the standard inference methods. The principles of deduction in fuzzy logic are explained and algorithms for its computer realization are described. Basic algorithm has exponential complexity with respect to the number of antecedent variables, and in case of fuzzy observations we are able to improve its p...

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...

Fuzzy technology became a very important controlling method in complex systems where traditional methods are unsuccessful. It was proved in [19] that fuzzy rule systems can be used as general approximators of any complex continuous systems. The key element of the approximation process is the construction of the corresponding fuzzy rule system that encapsulates the knowledge on the problem domai...

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...

The deduction problem we will consider can be loosely described as follows: given the probabilities of some events, we wish to compute the probabilities of some other events. The terms "event" and "probability" are to be understood as having the meaning assigned to them in statistics. Probabilistic inference rules have been shown to constitute a key ingredient of expert systems. This report add...

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.