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今天小编为大家带来
《基于cubic Fermatean模糊集的MARCOS方法及其在评估和选择冷链物流配送中心中的应用》。
欢迎您的访问！
Share interests, spread happiness,
increase knowledge, and leave beautiful.
Dear,
this is the LearningYard Academy!
Today, the editor brings the "MARCOS approach based upon cubic Fermatean fuzzy set and its application in evaluation and selecting cold chain logistics distribution center".
Welcome to visit!
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《基于cubic Fermatean模糊集的MARCOS方法及其在评估和选择冷链物流配送中心中的应用》基础知识。
I will bring you the preliminaries of MARCOS approach based upon cubic Fermatean fuzzy set and its application in evaluation and selecting cold chain logistics distribution center from three sections: mind mapping, intensive reading content, and knowledge supplementation.
01思维导图
02精读内容
一、FFS和IVFFS
1. FFS and IVFFS
FFS定义：
FFS Definition:
Fermatean模糊数定义：
Fermatean fuzzy number definition:
Z中元素z的犹豫度或不确定度：
The hesitancy or uncertainty of the element z in Z:
Sergi等(2022)将FFS进行广义化，利用区间数表示隶属度和非隶属度，得到了区间FFS的定义，进一步提高了专家表达不确定性的能力。
Sergi et al. (2022) generalised the FFS by using the number of intervals to represent the degree of subordination and non-subordination, obtaining a definition of the interval FFS that further improves the ability of experts to express uncertainty.
Inter-valued FFS(IVFFS)定义：
Inter-valued FFS (IVFFS) Definition:
区间Fermatean模糊数定义：
Inter-valued Fermatean fuzzy number definition:
Z中元素z的犹豫度或不确定度：
The hesitancy or uncertainty of the element z in Z:
二、Aczel-Alsina算子
2. Aczel-Alsina operator
设和为两个实数，则和之间的Aczel-Alsina三角范数和三角余范数可由Aczel-Alsina定义，如下所示:
Suppose that and be two real numbers, then the Aczel-Alsina t-norm and t-conorm between and can be defined by Aczel-Alsina, displayed as below:
Aczel-Alsina三角范数：
Aczel-Alsina t-norm：
Aczel-Alsina三角余范数：
Aczel-Alsina t-conorm：
参数范围和相关规律：
Parameter ranges and associated laws:
03知识补充
范数：
Norm:
三角范数与三角余范数来源及作用：
T-norm and T-conorm Sources and Roles:
三角范数与三角余范数定义：
T-norm and T-conorm Definitions:
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祝您今天过得开心快乐！
That's all for today's sharing.
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I wish you a nice day!
参考资料：Deepl、CSDN、百度
参考文献：
[1]Rong Y, Yu L, Niu W, et al. MARCOS approach based upon cubic Fermatean fuzzy set and its application in evaluation and selecting cold chain logistics distribution center [J]. Engineering Applications of Artificial Intelligence, 2022, 116(1): 105401-105427.
[2]薛占军, 邵海琴, 王建平. 关于三角范数的代数刻画 [J]. 西北大学学报(自然科学版), 2007, 166(1): 49-51.
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文字|Zheng
排版|Zheng
审核|wang