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<p>Neutrosophic numbers are effective tools for modeling uncertainty due to their flexibility in describing the information thoroughly, appropriately and comprehensively for decision-making problems. In this study, we propose a new approach for multi-attribute decision-making based on the Interval type-2 trapezoidal neutrosophic numbers. The approach is based upon the method of <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\alpha\)</EquationSource> </InlineEquation>-cuts in terms of interval type-2 trapezoidal neutrosophic numbers. Being the generalization of the concept of simple neutrosophic numbers, the presented scheme uses the interval type-2 trapezoidal neutrosophic numbers to decision making problems. Moreover, consideration of decision maker’s risk attitude is increased the credibility of the proposed approach which hasn’t been considered in the existing techniques. Lastly, an application of assessment of houses has presented to elaborate the effectiveness of the given approach.</p>

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Decision making based on interval type-2 neutrosophic numbers involving the optimal selection of a house

  • 期刊论文

  • 发表日期：

    2025年11月7日

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  • Muhammad Touqeer,
  • Ehtisham Rasool,
  • Ali Ahmadian,
  • Mehdi Salimi,
  • Soheil Salahshour

摘要

Neutrosophic numbers are effective tools for modeling uncertainty due to their flexibility in describing the information thoroughly, appropriately and comprehensively for decision-making problems. In this study, we propose a new approach for multi-attribute decision-making based on the Interval type-2 trapezoidal neutrosophic numbers. The approach is based upon the method of \(\alpha\) -cuts in terms of interval type-2 trapezoidal neutrosophic numbers. Being the generalization of the concept of simple neutrosophic numbers, the presented scheme uses the interval type-2 trapezoidal neutrosophic numbers to decision making problems. Moreover, consideration of decision maker’s risk attitude is increased the credibility of the proposed approach which hasn’t been considered in the existing techniques. Lastly, an application of assessment of houses has presented to elaborate the effectiveness of the given approach.