...

  • Home
  • Articles
    • Current Issue
    • Archives
  • Authors
    • Author Guidelines
    • Policies
    • Downloads
  • Editors
  • Reviewers
...

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 7 | Year 2019 | Article Id. IJMTT-V65I7P528 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I7P528

The Concept of Fuzzy Number


R.Reshma , Dr.R.Balakumar
Abstract

Fuzzy numbers agree to us to representation in a simple method these non-probabilistic reservations. This justifies the growing concentration on hypothetical in addition to sensible aspects of fuzzy calculation in the previous existence, particularly heading for to: operations in excess of fuzzy statistics and properties, position of fuzzy numbers and canonical demonstration of fuzzy statistics. Usually, the description of adding together and multiplication of fuzzy numbers are based on the expansion standard. A main drawback of the multiplicative operation in this case is that by multiplication the shape of L - R type fuzzy numbers (so triangular or trapezoidal numbers) is not preserved.

Keywords
Fuzzy numbers, L - R type fuzzy numbers, trapezoidal numbers.
References

[1] Introduction to Fuzzy arithmetic theory & Application. - Arnold Kaufman - Madan M. Gupta
[2] Fuzzy Sets and Fuzzy Logic theory and Applications - George J. Klir - Bo Yuan
[3] Fuzzy Systems theory & its Applications - Toshiro Terano - Kiyoji Asai - Michio Sugeno
[4] Fuzzy Set theory & its Applications - H.J. Zimmermann
[5] Fuzzy Sets, Fuzzy Logic, Fuzzy Systems - Lotfi Azadeh
[6] Fuzzy Sets and Systems theory and Applications - Didier Dubois - Henri Prade

Citation :

R.Reshma , Dr.R.Balakumar, "The Concept of Fuzzy Number," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 7, pp. 225-234, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I7P528

  • PDF
  • Abstract
  • Keywords
  • References
  • Citation
Abstract Keywords References Citation
  • Home
  • Authors Guidelines
  • Paper Submission
  • APC
  • Archives
  • Downloads
  • Open Access
  • Publication Ethics
  • Copyrights Infringement
  • Journals
  • FAQ
  • Contact Us

Follow Us

Copyright © 2025 Seventh Sense Research Group® . All Rights Reserved