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

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  • Lingyan Meng
  • Xiaoyan Wei
  • Marek Galewski

Abstract

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.

Suggested Citation

  • Lingyan Meng & Xiaoyan Wei & Marek Galewski, 2021. "Research on Evaluation of Sustainable Development of New Urbanization from the Perspective of Urban Agglomeration under the Pythagorean Fuzzy Sets," Discrete Dynamics in Nature and Society, Hindawi, vol. 2021, pages 1-11, August.
    • Handle: RePEc:hin:jnddns:2445025
    DOI: 10.1155/2021/2445025
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