Bonferroni arithmetic mean operator of trapezoidal fuzzy multi numbers and its decision-making application to crafting the ideal student dormitory

Year 2023, Volume: 12 Issue: 3, 166 - 187, 31.12.2023

İrfan Deli Davut Kesen

https://doi.org/10.54187/jnrs.1369105

Abstract

Trapezoidal fuzzy multi-numbers (TFM-numbers) are widely used in the decision-making process when choosing among various potential values for alternatives. In this context, we present a methodology for multiple attribute decision-making problems in terms of TFM-numbers. This is why we have developed an aggregation technique known as the TFM-Bonferroni arithmetic mean operator. This operator is utilized to aggregate information represented by TFM-numbers. We then gave an examination of its properties and discussed its special cases. Furthermore, we introduce an approach designed to tackle multiple attribute decision-making as part of TFM environments. We subsequently apply this approach to solve multi-attribute decision-making problems. To illustrate its practicality, we provide an example in daily life. Finally, we offer an analysis table that facilitates a comparative evaluation of our proposed approach against existing methods.

Keywords

Fuzzy multi set, Trapezoidal fuzzy number, Trapezoidal fuzzy multi numbers, Bonferroni arithmetic mean, Multiple attribute decision making

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