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Xf-Calc: Towards a Fair Comparison between Approaches for Fuzzy Numbers Arithmetic

Abstract:

Since arithmetic operations that involve uncertain or imprecise linguistic expressions are often mentally solved, multiple approaches have been developed to emulate them with fuzzy numbers. Each approach may provide different results, and some may depend on a specific context. It is common to compare and analyze these approaches to determine which one is the best in different contexts. These comparisons can be laborious and prone to errors. In this paper a context-free calculator for fuzzy arithmetic is proposed. To facilitate the analysis of comparisons, this calculator is capable of solving an arithmetic problem using multiple approaches while providing reports. The first report shows the solution of each approach while the second report shows their respective graphical representation. The calculator has nine different approaches for addition, subtraction and multiplication with the flexibility to incorporate new approaches for further study.