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Hesitant Fuzzy Soft Sets with Application in Multicriteria Group Decision Making Problems

机译:犹豫模糊软集在多准则群决策问题中的应用

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摘要

Soft sets have been regarded as a useful mathematical tool to deal with uncertainty. In recent years, many scholars have shown an intense interest in soft sets and extended standard soft sets to intuitionistic fuzzy soft sets, interval-valued fuzzy soft sets, and generalized fuzzy soft sets. In this paper, hesitant fuzzy soft sets are defined by combining fuzzy soft sets with hesitant fuzzy sets. And some operations on hesitant fuzzy soft sets based on Archimedean t-norm and Archimedean t-conorm are defined. Besides, four aggregation operations, such as the HFSWA, HFSWG, GHFSWA, and GHFSWG operators, are given. Based on these operators, a multicriteria group decision making approach with hesitant fuzzy soft sets is also proposed. To demonstrate its accuracy and applicability, this approach is finally employed to calculate a numerical example.
机译:软集合被认为是处理不确定性的有用数学工具。近年来,许多学者对软集和将标准软集扩展到直觉模糊软集,区间值模糊软集和广义模糊软集表现出了浓厚的兴趣。本文通过将模糊软集与犹豫模糊集相结合来定义犹豫模糊集。并定义了基于阿基米德t-范数和阿基米德t-conorm的犹豫模糊软集上的一些运算。此外,还给出了四个聚合操作,例如HFSWA,HFSWG,GHFSWA和GHFSWG运算符。基于这些算子,提出了一种带有犹豫模糊软集的多准则群决策方法。为了证明其准确性和适用性,该方法最终被用来计算数值示例。

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