Bocharnikov, Victor and Sveshnikov, Sergey (2007): Algorithm of arithmetical operations with fuzzy numerical data.

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Abstract
In this article the theoretical generalization for representation of arithmetic operations with fuzzy numbers is considered. Fuzzy numbers are generalized by means of fuzzy measures. On the basis of this generalization the new algorithm of fuzzy arithmetic which uses a principle of entropy maximum is created. As example, the summation of two fuzzy numbers is considered. The algorithm is realized in the software "Fuzzy for Microsoft Excel".
Item Type:  MPRA Paper 

Original Title:  Algorithm of arithmetical operations with fuzzy numerical data 
English Title:  Algorithm of arithmetical operations with fuzzy numerical data 
Language:  English 
Keywords:  fuzzy measure (Sugeno), fuzzy integral (Sugeno), fuzzy numbers; arithmetical operations; principle of entropy maximum 
Subjects:  C  Mathematical and Quantitative Methods > C1  Econometric and Statistical Methods and Methodology: General > C13  Estimation: General C  Mathematical and Quantitative Methods > C6  Mathematical Methods; Programming Models; Mathematical and Simulation Modeling > C63  Computational Techniques; Simulation Modeling C  Mathematical and Quantitative Methods > C0  General > C02  Mathematical Methods 
Item ID:  17353 
Depositing User:  Sveshnikov 
Date Deposited:  16. Jun 2010 19:14 
Last Modified:  14. Feb 2013 20:42 
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URI:  http://mpra.ub.unimuenchen.de/id/eprint/17353 