论文标题

2型模糊集基于语言决策的犹豫模糊语言术语集

Type-2 Fuzzy Set based Hesitant Fuzzy Linguistic Term Sets for Linguistic Decision Making

论文作者

Seth, Taniya, Muhuri, Pranab K.

论文摘要

基于计算的方法可以在决策系统中找到良好的适用性。主要在1型模糊集中找到基础,用单词方法计算使用1型模糊集作为语言术语的语义。但是,已证明2型模糊集已被证明是在科学上更合适地代表实用系统中的语言信息。他们考虑了来自语言信息来自一组专家的情况,同时考虑到了不确定性和间隔。因此,在本文中,我们建议介绍语言术语,其语义在犹豫的模糊语言术语设定框架中用间隔2型模糊集表示,从而导致2型模糊集基于基于犹豫的模糊语言术语集。我们还引入了一种新型的方法,用于计算具有梯形构件功能的多个间隔类型2模糊集的模糊信封。此外,使用Interval类型2模糊集的拟议框架应用于供应商性能评估方案。由于人类主要参与整个供应链过程,因此他们的反馈在决定许多因素时至关重要。在本文结尾处,我们将提出的模型与各种现有模型进行了比较,并证明了前者的优势。

Approaches based on computing with words find good applicability in decision making systems. Predominantly finding their basis in type-1 fuzzy sets, computing with words approaches employ type-1 fuzzy sets as semantics of the linguistic terms. However, type-2 fuzzy sets have been proven to be scientifically more appropriate to represent linguistic information in practical systems. They take into account both the intra-uncertainty as well as the inter-uncertainty in cases where the linguistic information comes from a group of experts. Hence in this paper, we propose to introduce linguistic terms whose semantics are denoted by interval type-2 fuzzy sets within the hesitant fuzzy linguistic term set framework, resulting in type-2 fuzzy sets based hesitant fuzzy linguistic term sets. We also introduce a novel method of computing type-2 fuzzy envelopes out of multiple interval type-2 fuzzy sets with trapezoidal membership functions. Furthermore, the proposed framework with interval type-2 fuzzy sets is applied on a supplier performance evaluation scenario. Since humans are predominantly involved in the entire process of supply chain, their feedback is crucial while deciding many factors. Towards the end of the paper, we compare our presented model with various existing models and demonstrate the advantages of the former.

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