Generalized Trapezoidal Fuzzy Numbers: A New Approach to Ranking

Authors

  • Lakshmi
  • M. Suresh

Abstract

Fuzzy numbers play an essential part in decision making, optimization, forecasting, and other areas of analysis. Prior to taking action, fuzzy numbers must be rated by an executive. The ranking approach presented by Chen and Chen (Expert Systems with Applications 36 (2009) 6833-6842) is shown to be wrong in this work using various counter instances. New methods for ranking generalised trapezoidal fuzzy numbers are the focus of this study. Because the suggested technique provides the right ordering of generalised and normal trapezoidal fuzzy numbers, it is a significant benefit. According to Wang and Kerre's (Fuzzy Sets and Systems 118 (2001) 375- 385), the suggested ranking function meets all the acceptable features of fuzzy quantities.

Keywords—Ranking function, Generalized trapezoidal fuzzy num- bers

Downloads

Published

2019-06-30

How to Cite

Lakshmi, & M. Suresh. (2019). Generalized Trapezoidal Fuzzy Numbers: A New Approach to Ranking. The Journal of Contemporary Issues in Business and Government, 24(1), 64–73. Retrieved from https://cibgp.com/au/index.php/1323-6903/article/view/138

Issue

Vol. 24 No. 1 (2019): The journal of contemporary issues in business and government

Section

Articles

License

You are free to:

  1. Share — copy and redistribute the material in any medium or format for any purpose, even commercially.
  2. Adapt — remix, transform, and build upon the material for any purpose, even commercially.
  3. The licensor cannot revoke these freedoms as long as you follow the license terms.

Under the following terms:

  1. Attribution — You must give appropriate credit , provide a link to the license, and indicate if changes were made . You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  2. No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.

Notices:

You do not have to comply with the license for elements of the material in the public domain or where your use is permitted by an applicable exception or limitation .

No warranties are given. The license may not give you all of the permissions necessary for your intended use. For example, other rights such as publicity, privacy, or moral rights may limit how you use the material.