Introduction to U-Number Calculus |
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| Authors: | R A Aliev |
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| Affiliation: | a MBA Department, Azerbaijan State University of Oil and Industry, Baku, Azerbaijan;b Department of Computer Engineering, Near East University, Lefkosa, North Cyprus |
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| Abstract: | Commonsense reasoning plays a pivotal role in the development of intelligent systems for decisionmaking, system analysis, control and other applications. As Prof. L. Zadeh mentions a kernel of the
theory of commonsense is the concept of usuality. Zadeh suggested main principles of the theory of
usuality, unfortunately up to present day; a fundamental and systemic approach to reasoning with
usual knowledge is not developed.
In this study, we develop a new approach to calculus of usual numbers (U-numbers). We consider a
U-number as a Z-number, where the second component is “usually”. Validity of the suggested approach
is verified by examples. |
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| Keywords: | Discrete fuzzy number convolution usuality Z-number U-number |
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