Bonferroni mean operators of trapezoidal multi fuzzy numbers and their application to decision making problems

Abstract

Trapezoidal fuzzy multi numbers(TFM-numbers) are commonly used while taking decision among many potential values for the choices over alternatives in the decision-making process. In this context, we propose two methods to investigate solution of the multiple attribute decision making problems given with trapezoidal fuzzy multi numbers(TFM-numbers). For this reason, two aggregation techniques called TFMBonferroni arithmetic mean operator and TFM-Bonferroni geometric mean operator have been developed to aggregate the trapezoidal fuzzy multi information. Then, we analyze their properties and discuss their special cases. Also, we introduce two approaches for multiple attribute decision making in the context of the trapezoidal fuzzy multi environments. Also, we apply the introduced approaches based on the TFM Bonferroni aggregation operators under trapezoidal multi fuzzy environments to solve the multi-attribute decision making and we give two useful example to show practicality of our the approaches. In the end, we present an analysis table to compare the proposed approaches with existing methods.