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An extension of TOPSIS based on linguistic terms in triangular intuitionistic fuzzy structure

机译:基于语言术语的三角直觉模糊结构中TOPSIS的扩展

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摘要

Chen 24 introduced the extension of TOPSIS in the fuzzystructure, while this article stretches the modern approach of TOPSIS tothe intuitionistic fuzzy framework. Linguistic terms are used in this studyto evaluate the weight of each criterion and the rating of alternatives inthe context of a triangular intuitionistic fuzzy number. A new intuitionistic fuzzy positive ideal solution (IFPIS) and intuitionistic fuzzy negative ideal solution (IFNIS) are proposed in this model of extended TOPSIS. Euclidean distance is introduced between two triangular intuitionistic fuzzy numbers to calculate separation between each alternative to both(IFPIS) and (IFNIS). The proposed model’s mechanism is presented withthe help of an algorithm, and then it is applied to the personal selectionproblem. Finally, a comparative study is given between this model andother TOPSIS techniques.
机译:Chen[24]在模糊结构中介绍了TOPSIS的扩展,而本文则将TOPSIS的现代方法延伸到直觉模糊框架。本研究使用语言学术语在三角形直觉模糊数的背景下评估每个标准的权重和备选方案的评级。在扩展TOPSIS模型中,提出了一种新的直觉模糊正理想解(IFPIS)和直觉模糊负理想解(IFNIS)。在两个三角形直觉模糊数之间引入欧几里得距离,以计算每个备选方案(IFPIS)和(IFNIS)之间的间隔。在算法的帮助下,提出了所提模型的机理,并将其应用于个人选择问题。最后,对该模型与其他TOPSIS技术进行了比较研究。

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