Generalization and ranking of fuzzy numbers by relative preference relation

Authors

Kavitha Koppula, Manipal Institute of Technology
Babushri Srinivas Kedukodi, Manipal Institute of Technology
Syam Prasad Kuncham, Manipal Institute of Technology

Document Type

Article

Publication Title

Soft Computing

Abstract

We define 2 n+ 1 and 2n fuzzy numbers, which generalize triangular and trapezoidal fuzzy numbers, respectively. Then, we extend the fuzzy preference relation and relative preference relation to rank 2 n+ 1 and 2n fuzzy numbers. When the data is representable in terms of 2 n+ 1 fuzzy number, we generalize the FMCDM (fuzzy multi-criteria decision making) model constructed with TOPSIS and relative preference relation. Lastly, we give an example from telecommunications to present the proposed FMCDM model and validate the results obtained.

First Page

1101

Last Page

1122

DOI

10.1007/s00500-021-06616-1

Publication Date

2-1-2022

Recommended Citation

Koppula, Kavitha; Kedukodi, Babushri Srinivas; and Kuncham, Syam Prasad, "Generalization and ranking of fuzzy numbers by relative preference relation" (2022). Open Access archive. 4639.
https://impressions.manipal.edu/open-access-archive/4639