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今天小编给大家带来期刊论文精读，

欢迎您的用心访问！

本期推文阅读时长大约6分钟，请您耐心阅读。

Share interest, spread happiness, increase knowledge, and leave beautiful.

Dear you,

This is the LearningYard Academy!

Today, the editor brings you intensive reading of journal papers,

Welcome your visit!

This tweet usually takes about 6 minutes to read. Please be patient and read.

今天小编将从思维导图、精读内容、知识补充三个板块为大家带来论文《属性关联的双极容度多属性决策 VIKOR方法》案例分析，接下来我们开始今天的学习吧！

Today's small edition will bring you the case study of the paper "Bipolar Tolerance Multi Attribute Decision Making VIKOR Method of Attribute Association" from three parts: mind mapping, intensive reading and knowledge supplement. Let's start today's study!

思维导图

本节内容思维导图如下所示：

A mind map of the contents of this section is shown below.

精读内容

本期推文继续对案例进行详细解读分析，在考虑属性间的关联关系计算权重后，我们考虑根据双极容度的choquet积分算子的公式，求解方案的贴近度Si和Ri。

This tweet continues to analyze the case in detail. After considering the correlation between attributes to calculate the weight, we consider solving the closeness degree Si and Ri of the scheme according to the formula of the choquet integral operator of the bipolar tolerance.

在理解以上公式的过程中，我们发现该部分内容涉及到对choquet积分和模糊测度的相关知识，需要我们深入学习和掌握choquet积分和模糊测度相关公式的运算规则，才能进行下一步的计算，因此，这里我们首先对模糊积分的内容进行详细介绍。

In the process of understanding the above formulas, we found that this part of the content involves the relevant knowledge of choquet integral and fuzzy measure. We need to deeply study and master the operation rules of choquet integral and fuzzy measure related formulas before we can carry out the next step of calculation. Therefore, here we first introduce the content of fuzzy integral in detail.

接下来是举例分析，以便我们更好地理解和消化知识点！

Next is an example analysis, so that we can better understand and digest knowledge!

知识补充

在本节内容中涉及到的模糊积分，我们进行了详细的学习和分析，那么什么时候使用模糊积分呢？

We have studied and analyzed the fuzzy integral involved in this section in detail, so when to use fuzzy integral?

1974 年，日本学者 Sugeno 为解决属性之间存在关联而又不具备可加性的多属性决策问题，提出了模糊测度。它可以表示一个或多个属性的综合重要程度，可以更加准确地描述多个属性之间的相互关系。In 1974, Sugeno, a Japanese scholar, proposed a fuzzy measure to solve the multi-attribute decision making problem in which attributes are related but not additive. It can represent the comprehensive importance of one or more attributes, and can more accurately describe the relationship between multiple attributes.滨海城市旅游竞争力是指从旅游者的多样性诉求考虑，兼顾当地居民的生活需要，滨海城市面对激烈的市场竞争情况，表现出来的优势及可持续发展能力，旅游竞争力评价体系是由城市旅游自然条件、城市旅游氛围、城市经济以及城市旅游服务能力相互作用构成的，系统中各指标互相影响，不独立存在，不适合采用层次分析法、因子分析法等常规方法进行评价.例如城市的社会经济发展水平较高，其城市旅游环境也会较好，若用加权平均的方法计算城市旅游竞争力，就会因为旅游环境和城市社会经济发展这两个属性间的关联而抵消这两个属性各自的独立贡献.模糊积分作为一种非线性函数，可以综合考虑评价指标各要素的关联性和重要性,并达到转模糊化为准确值，所以，本文采用 Choquet模糊积分法对旅游大数据智慧网评及舆情监测平台搭建方案竞争力进行测度。Tourism competitiveness of coastal cities refers to the advantages and sustainable development ability of coastal cities in the face of fierce market competition, considering the diversity demands of tourists and taking into account the living needs of local residents. The tourism competitiveness evaluation system is composed of the interaction of urban tourism natural conditions, urban tourism atmosphere, urban economy and urban tourism service capacity. Each index in the system affects each other and does not exist independently, It is not suitable to use the analytic hierarchy process, factor analysis and other conventional methods for evaluation For example, if a city has a high level of social and economic development, its urban tourism environment will also be better. If the weighted average method is used to calculate the urban tourism competitiveness, the independent contributions of these two attributes will be offset by the correlation between the tourism environment and urban social and economic development As a nonlinear function, fuzzy integral can comprehensively consider the relevance and importance of each element of the evaluation index, and achieve the goal of turning it into an accurate value. Therefore, this paper uses Choquet fuzzy integral method to measure the competitiveness of tourism big data intelligent online review and public opinion monitoring platform

总的来说，当属性之间存在联系，彼此存在影响并且不是相互独立的，可以使用模糊积分建立综合评价体系。

In general, when attributes are connected, affected and not independent of each other, fuzzy integral can be used to establish a comprehensive evaluation system.

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That's it for today's sharing.

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参考资料：DeepL翻译、百度百科、哔哩哔哩

参考文献：

[1]林萍萍,李登峰,江彬倩,余高锋,韦安鹏.属性关联的双极容度多属性决策VIKOR方法[J].系统工程理论与实践,2021,41(08):2147-2156.

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文案 |Yuan

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审核 |Qian