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Interactive Logical Structures

Dutta S., Jankowski A., Skowron A.

Fundamenta Informaticae

2017

Vol. 154, nr 1/4

95--108

We present an extension of logical structures, called interactive logical structures, for reasoning about interactive computations performed by Intelligent Systems or Complex Adaptive Systems. Reasoning based on such structures is called adaptive judgment and it goes beyond deduction, induction, and abduction. An extension of logical structures, based on complex granules, couples the abstract world and the physical world of an agent’s environment, and transmits the features of interactions of physical objects realized in the physical world to the abstract world. This allows us to consider the problems of perception and action.

Rough Sets and Interactive Granular Computing

Skowron A., Jankowski A.

Fundamenta Informaticae

2016

Vol. 147, nr 2/3

371--385

In several papers we have discussed a computing model, called the Interactive Granular Computing (IGrC), for interactive computations on complex granules. In this paper, we compare two models of computing, namely the Turing model and the IGrC model.

Perspectives on Uncertainty and Risk in Rough Sets and Interactive Rough-Granular Computing

Jankowski A., Skowron A., Swiniarski R. W.

Fundamenta Informaticae

2014

Vol. 129, nr 1/2

69--84

We discuss an approach for dealing with uncertainty in complex systems. The approach is based on interactive computations over complex objects called here complex granules (c-granules, for short). Any c-granule consists of a physical part and a mental part linked in a special way. We begin from the rough set approach and next we move toward interactive computations on c-granules. From our considerations it follows that the fundamental issues of intelligent systems based on interactive computations are related to risk management in such systems. Our approach is a step toward realization of the Wisdom Technology (WisTech) program. The approach was developed over years of work on different real-life projects.

Interactive Complex Granules

Jankowski A., Skowron A., Swiniarski R. W.

Fundamenta Informaticae

2014

Vol. 133, nr 2/3

181--196

Information granules (infogranules, for short) are widely discussed in the literature. In particular, let us mention here the rough granular computing approach based on the rough set approach and its combination with other approaches to soft computing. However, the issues related to interactions of infogranules with the physical world and to perception of interactions in the physical world by infogranules are not well elaborated yet. On the other hand the understanding of interactions is the critical issue of complex systems. We propose to model complex systems by interactive computational systems (ICS) created by societies of agents. Computations in ICS are based on complex granules (c-granules, for short). In the paper we concentrate on some basic issues related to interactive computations based on c-granules performed by agents in the physical world.