Ranking Fuzzy Numbers with Mean Value of Points and Comparative Reviews

Authors

  • S. Prasad Department of Mathematics, BBMK University Dhanbad- 828130, Jharkhand, India
  • A. Sinha Department of Mathematics, BBMK University Dhanbad- 828130, Jharkhand, India https://orcid.org/0000-0003-2152-7402

DOI:

https://doi.org/10.3329/jsr.v14i3.58133

Abstract

Even though various ranking fuzzy numbers approaches have been presented so far, none of them can always provide satisfactory results in every situation. Some are counterintuitive, and some are inconsistent for the same circumstances. To overcome the issues mentioned above, we present a new technique for ranking fuzzy numbers using the mean value of the two points. The points are taken on the left and the right membership functions (reference functions) such that they divide the respective membership function in the same ratio . The proposed technique determines the order of the fuzzy numbers significantly. To use this technique, the membership functions need not be normal and linear.

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Published

2022-09-01

How to Cite

Prasad, S., & Sinha, A. (2022). Ranking Fuzzy Numbers with Mean Value of Points and Comparative Reviews. Journal of Scientific Research, 14(3), 755–771. https://doi.org/10.3329/jsr.v14i3.58133

Issue

Vol. 14 No. 3 (2022)

Section

Section A: Physical and Mathematical Sciences

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

© Journal of Scientific Research

Creative Commons License

Articles published in the "Journal of Scientific Research" are Open Access articles under a Creative Commons Attribution-ShareAlike 4.0 International license (CC BY-SA 4.0). This license permits use, distribution and reproduction in any medium, provided the original work is properly cited and initial publication in this journal. In addition to that, users must provide a link to the license, indicate if changes are made and distribute using the same license as original if the original content has been remixed, transformed or built upon.