Title of paper:
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The cubes' magic and their application in different fields of science
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Author(s):
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Ivanka Valova
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ICSR, BAS, Acad. G. Bonchev Str., P.O. Box 79, Sofia 1113, Bulgaria
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vania@icsr.bas.bg
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Presented at:
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10th ICIFS, Sofia, Bulgaria, 28-29 October 2006
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Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 12 (2006) Number 3, pages 46—54
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Download:
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PDF (5220 Kb, File info)
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Abstract:
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Subject of this paper is to study the use of a common geometric figure CUBE in various fields of science - fuzzy sets and neural systems, multiprocessor systems and in multidimensional models for analytical data processing. It is shown also how such scientific sectors use some concepts as one-dimensional cube, two-dimensional cube, etc. We present further a classification of software products depending on way of data storage in one-cube or multi-cube structure. An approach to analysis of multidimensional models in OLAP systems as outlined in this paper is application of Intuitionistic Fuzzy Evaluations (IFE), aiming to provide new functional possibilities to developers of systems for on-line analytical data processing and business analysts by utilization of IF evaluations.
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Keywords:
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fuzzy sets and neural systems, multiprocessor systems, multidimensional models, IF estimations.
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References:
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- Atanassov K., Intuitionistic Fuzzy Sets, Springer, Heidelberg, 1999.
- Atanassov K., Remark on a property of the intuitionistic fuzzy interpretation triangle, Notes on Intuitionistic Fuzzy Sets, Vol. 8, No. 1, 34-36, 2002.
- Coffin Michel H., Parallel programming a new approach, Prentice Hall, New York, 1992.
- Kosko, B., Fuzziness vs. Probability, International Journal of General Systems, Volume 17, Numbers 2-3, Gordon and Breach Science Publishers, 1990.
- Szmidt E., J. Baldwin Entropy for intuitionistic fuzzy set theory and mass assignment theory, Eighth International Conference on IFSs -part 1, June 20-21, Varna, Bulgaria, 15-28, 2004.
- Tanenbaum Andrew, Modern Operating Systems, Prentice Hall, 1992.
- Technical Report - www.microsoft.com
- Valova I., Application of intuitionistic fuzzy logic in systems for analytical data processing, Eighth International Conference on IFSs -part 2, 20-21 June 2004, Varna, Bulgaria, 70-74.
- Valova I., Zhechev B., Valov V. Overview of research and software approaches for multidimensional data analysis, Cybernetics and information technologies, vol.4, No. 1, IIT-BAS, Sofia, 2004, 26-34.
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