Rough-fuzzy-neurocomputing based on rough mereological calculus of granules

Authors:
Lech Polkowski
Affiliations:
Polish-Japanese Inst. of Inform. Tech., Warsaw, Poland and Dept. of Math. and Comp. Sci., Univ. of Warmia and Mazury, Olsztyn, Poland (Correspd.: PJIIT, Koszykowa 86, 02008 Warsaw, Poland. Tel.: + ...
Venue:
International Journal of Hybrid Intelligent Systems - Hybrid Intelligence using rough sets
Year:
2005

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Abstract

In this paper, we propose a scheme for merging rough, fuzzy, and cognitive (neural) computation methods. The underlying paradigm is that of rough mereology. Rough inclusions that are logical connectives of rough mereology allow for constructing granules of knowledge that constitute elementary objects for calculi merging rough, fuzzy and neural schemes. The presented scheme is based on mereological calculus of granules due to the author. The paper is intended as a research paper yet its aim is also to acquaint the reader with intuitions and motivations essential to the proposed approach. The idea that permeates the paper is that rough inclusions provide a bridge between rough and fuzzy theories linking them across the gap resulting from distinct approaches at uncertainty of knowledge.