Heikki Mannila and Kari-Jouko Räihä. The design of relational databases. Addison-Wesley Publishing Company, Wokingham, England, and Reading, Mass., etc., 1992, vii + 318 pp. - Serge Abiteboul, Richard Hull, and Victor Vianu. Foundations of databases. Addison-Wesley Publishing Company, Reading, Mass., etc., 1995, xviii + 685 pp. - Paris C. Kanellakis. Elements of relational database theory. Handbook of theoretical computer science, Volume B, Formal models and semantics, edited by Jan van Leeuwen, Elsevier, Amsterdam, etc., and The MIT Press, Cambridge, Mass., 1990, pp. 1073–1156.

<p>The present volume contains a selection of papers resulting from the Seventh Brainstorming Week on Membrane Computing (BWMC7), held in Sevilla, from February 2 to February 6, 2009. The meeting was organized by the Research Group on Natural Computing (RGNC) from Department of Computer Science and Artificial Intelligence of Sevilla University. The previous editions of this series of meetings were organized in Tarragona (2003), and Sevilla (2004 – 2008). After the first BWMC, a special issue of Natural Computing – volume 2, number 3, 2003, and a special issue of New Generation Computing – volume 22, number 4, 2004, were published; papers from the second BWMC have appeared in a special issue of Journal of Universal Computer Science – volume 10, number 5, 2004, as well as in a special issue of Soft Computing – volume 9, number 5, 2005; a selection of papers written during the third BWMC has appeared in a special issue of International Journal of Foundations of Computer Science – volume 17, number 1, 2006); after the fourth BWMC a special issue of Theoretical Computer Science was edited – volume 372, numbers 2-3, 2007; after the fifth edition, a special issue of International Journal of Unconventional Computing was edited – volume 5, number 5, 2009; finally, a selection of papers elaborated during the sixth BWMC has appeared in a special issue of Fundamenta Informaticae</p>

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A Family of Polymodal Systems and its Application to Generalized Possibility Measures and Multi-Rough Sets

Journal of Advanced Computational Intelligence and Intelligent Informatics ◽

10.20965/jaciii.2006.p0625 ◽

2006 ◽

Vol 10 (5) ◽

pp. 625-632 ◽

Cited By ~ 2

Author(s):

Sadaaki Miyamoto ◽

◽

Tetsuya Murai ◽

Yasuo Kudo ◽

◽

...

Keyword(s):

Information System ◽

Computer Science ◽

Relational Database ◽

Rough Sets ◽

Theoretical Computer Science ◽

Theoretical Frameworks ◽

Theoretical Computer ◽

The One ◽

Information Tables ◽

Polymodal Logic

Polymodal systems generally have large areas of applications to theoretical computer science including the theory of programming, while other applications are not yet fully explored. In this paper we consider a family of polymodal systems with the structure of lattices on the polymodal indices. After investigating theory of the polymodal systems such as the completeness, we study two applications. One is generalized possibility measures in which lattice-valued measures are proposed and relations with the ordinary possibility and necessity measures are uncovered. Second application is consideration of an information system as a table such as the one in the relational database. It is known that rough sets are used to discover regularities from such information tables. Applying polymodal logic concept, we generalize rough sets which are called multi-rough sets here. Our consideration is mainly to establish theoretical frameworks in these two application areas and hence no real examples are shown here.

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