Research on Evaluation of Sustainable Development of New Urbanization from the Perspective of Urban Agglomeration under the Pythagorean Fuzzy Sets

In this study, considering the traditional geometric operation laws and Pythagorean fuzzy information, we propose a variety of new distance measures of Pythagorean fuzzy sets such as generalized Pythagorean fuzzy geometric distance (GPFGD) measures and generalized Pythagorean fuzzy weighted geometri...

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Bibliographic Details
Published inDiscrete dynamics in nature and society Vol. 2021; pp. 1 - 11
Main Authors Meng, Lingyan, Wei, Xiaoyan
Format Journal Article
LanguageEnglish
Published New York Hindawi 2021
Hindawi Limited
Wiley
Subjects
Accuracy
Agglomeration
Decision making
Euclidean geometry
Evaluation
Fuzzy sets
Metric space
Similarity measures
Sustainable development
Urbanization
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Summary:In this study, considering the traditional geometric operation laws and Pythagorean fuzzy information, we propose a variety of new distance measures of Pythagorean fuzzy sets such as generalized Pythagorean fuzzy geometric distance (GPFGD) measures and generalized Pythagorean fuzzy weighted geometric distance (GPFWGD) measures. Besides, some special issues including Hamming distance, Euclidean distance, and Hausdorff distance of these raised geometric distance measures are investigated. To testify the valid of these new presented distance measures, we build a decision-making model illustrated by a mathematical calculation example to evaluate the sustainable development of new urbanization from the perspective of urban agglomeration using Pythagorean fuzzy information.
ISSN:1026-0226
1607-887X
DOI:10.1155/2021/2445025