摘要：This issue of tweets will introduce the 3.1. triangular fuzzy number of the intensive reading journal paper "A fuzzy group decisio

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今天小编为大家带来“精读期刊论文《衡量食品供应链弹性的模糊群体决策模型：西班牙案例研究》的3.1.三角模糊数”。

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Today, the editor brings the "the 3.1. triangular fuzzy number of the journal paper 'A fuzzy group decision-making model to measure resiliency in a food supply chain: A case study in Spain'".

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一、内容摘要（Content summary）

本期推文将从思维导图、精读内容、知识补充三个方面介绍精读期刊论文《衡量食品供应链弹性的模糊群体决策模型：西班牙案例研究》的3.1.三角模糊数。

This issue of tweets will introduce the 3.1. triangular fuzzy number of the intensive reading journal paper "A fuzzy group decision-making model to measure resiliency in a food supply chain: A case study in Spain" from three aspects: mind mapping, intensive reading content, and knowledge supplement.

二、思维导图（Mind Mapping）

三、精读内容（Detailed Reading Content）

作者在该部分介绍了三角模糊数的定义。

In this part, the author introduces the definition of triangular fuzzy number.

三角模糊集是一种常见的模糊集合类型，它通过三个参数来定义一个隶属函数，这三个参数分别是G（下边界）、S（峰值或中心）、和T（上边界）。在三角模糊集中，隶属函数（MF）的形状像一个三角形，其顶点分别对应这三个参数的值。参数G表示隶属函数的下边界，即在这个点之前，隶属度从0开始增加。参数S表示隶属函数的峰值或中心，在这个点上，隶属度达到最大值1，表示元素完全属于该模糊集合。参数T表示隶属函数的上边界，即在这个点之后，隶属度从1开始减少至0。三角模糊数的隶属度函数如下所示。

A triangular fuzzy set is a common type of fuzzy set that defines a membership function with three parameters: G (lower boundary), S (peak or center), and T (upper boundary). In a triangular fuzzy set, the membership function (MF) is shaped like a triangle whose vertices correspond to the values of the three parameters. The parameter G represents the lower boundary of the membership function, i.e. before this point, membership increases from 0. The parameter S represents the peak or center of the membership function, at which point the membership reaches a maximum of 1, indicating that the element belongs entirely to the fuzzy set. The parameter T represents the upper boundary of the membership function, that is, after this point, the membership decreases from 1 to 0. Membership function of triangular fuzzy number is shown as follows.

四、知识补充——三角模糊数的运算法则（Knowledge supplement - arithmetic of triangular fuzzy number）

三角模糊数的运算性质主要体现在其加法、减法、乘法和除法等基本运算上，具体如下：

The operation properties of triangular fuzzy numbers are mainly reflected in the basic operations such as addition, subtraction, multiplication and division, as follows:

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参考资料：ChatGPT、百度百科

参考文献：

Yazdani Morteza, Torkayesh Ali Ebadi, Chatterjee Prasenjit, et al. A fuzzy group decision-making model to measure resiliency in a food supply chain: A case study in Spain [J]. Socio-Economic Planning Sciences, 2022, 82(1): 101257-101271.

本文由LearningYard学苑整理并发出，如有侵权请在后台留言！

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来源：LearningYard学苑