Issue |
Int. J. Simul. Multidisci. Des. Optim.
Volume 14, 2023
|
|
---|---|---|
Article Number | 7 | |
Number of page(s) | 9 | |
DOI | https://doi.org/10.1051/smdo/2023006 | |
Published online | 17 August 2023 |
Research article
A comparative analysis of the fuzzy and intuitionistic fuzzy environment for group and individual equipment replacement Models in order to achieve the optimized results
Department of Mathematics and Statistics, CSH, SRMIST, Kattankulathur, Chennai 603202, Tamil Nadu, India
* e-mail: sv9558@srmist.edu.in/shanmugam@srmist.edu.in
Received:
17
May
2022
Accepted:
21
June
2023
The main goal of this research is to compare group and individual replacement models based on fuzzy replacement theory and intuitionistic fuzzy replacement theory. The capital costs are assumed to be triangular fuzzy numbers, triangular intuitionistic fuzzy numbers, and trapezoidal intuitionistic fuzzy numbers, respectively. As a result, interpreting the direct relationship between volatility and ambiguity is critical. It is difficult to predict when specific equipment will unexpectedly fail. This problem can be solved by calculating the probability of failure distribution. Furthermore, the failure is assumed to occur only at the end of period t. In this situation, two types of replacement policies are used. The first is the Individual Replacement Policy, which states that if an item fails, it will be replaced immediately. The Group Replacement Policy states that all items must be replaced after a certain time period, with the option of replacing any item before the optimal time. The dimensions of the prosecution are fuzzy, and they are then assessed using mathematical and logical procedures. The fuzzy assessment criteria of the replacement model are provided as a set of outcomes, whereas the intuitionistic fuzzy replacement model has many advantages. A methodological technique is used to determine quality measurements in which fuzzy costs or values are kept without being merged into crisp values, allowing us to draw mathematical inferences in an uncertain setting. A comparison conceptualise is created for each fuzzy number, and in an uncertain environment, a comparison study on group and individual replacement was also conducted.
Key words: Theory of fuzzy sets / fuzzy logic / logic of vagueness / intuitionistic mathematics
© V.K. Saranya and S.S. Murugan published by EDP Sciences, 2023
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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