Computer implementation of operations with fuzzy numbers

Authors

  • Eugene R. Gallyamov Chelyabinsk State University (Chelyabinsk, Russian Federation)
  • Viktor I. Ukhobotov Chelyabinsk State University (Chelyabinsk, Russian Federation)

DOI:

https://doi.org/10.14529/cmse140306

Keywords:

arithmetic of fuzzy numbers, fuzzy numbers, computer implementation

Abstract

In this paper the problem of representing normal fuzzy numbers in a form suitable for computer implementation is considered. In particular, the results of the investigation of fuzzy arithmetic using level sets of fuzzy numbers are given. Also in the paper the problems associated with necessity of receiving a resulting fuzzy number with the parameters satisfying the given constraints are analyzed. Within this research the software package for work with fuzzy numbers with L-R representation was realized. Implementation of the package gives an opportunity of increasing the capabilities and using in other scientific researches of similar subject.

References

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Published

2014-08-15

Issue

Vol. 3 No. 3 (2014)

Section

Numerical Mathematics

License

Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.