Scholarlink

<p>Conflicts over sustainable water resource development trigger social unrest, constrain economic development, and exacerbate geopolitical tensions. The graph model for conflict resolution (GMCR) provides a feasible tool for resolving such disputes. However, the complex uncertainty of such conflicts makes it difficult for traditional GMCR to yield satisfactory solutions for each decision-maker (DM). In this paper, Pythagorean fuzzy numbers are incorporated into the graph model framework to express DMs’ true preferences. For the first time, a Pythagorean fuzzy graph model is proposed to solve complex real-world conflicts. A new preference-ranking method accounting for trust relationships supplements traditional GMCR to determine the true preferences of individual DMs with common interests (composite decision-makers). DM weights are calculated based on point degree centrality and proximity centrality. A group decision matrix is obtained using the Pythagorean fuzzy weighted average operator, and comprehensive scores are calculated using Romanian selection and the group score matrix to rank alternatives. On this basis, new stability definitions collectively called Pythagorean fuzzy stability are proposed in GMCR. Finally, the model is successfully applied to conflicts over sustainable water resource development in the Yellow River, expanding the theoretical scope of GMCR and providing feasible solutions for resolving water resource conflicts.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Integrating Pythagorean fuzzy numbers into the graph model to resolve water resource conflicts in the Yellow River Basin

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年4月6日

查看全文
  • Yichan Cao

摘要

Conflicts over sustainable water resource development trigger social unrest, constrain economic development, and exacerbate geopolitical tensions. The graph model for conflict resolution (GMCR) provides a feasible tool for resolving such disputes. However, the complex uncertainty of such conflicts makes it difficult for traditional GMCR to yield satisfactory solutions for each decision-maker (DM). In this paper, Pythagorean fuzzy numbers are incorporated into the graph model framework to express DMs’ true preferences. For the first time, a Pythagorean fuzzy graph model is proposed to solve complex real-world conflicts. A new preference-ranking method accounting for trust relationships supplements traditional GMCR to determine the true preferences of individual DMs with common interests (composite decision-makers). DM weights are calculated based on point degree centrality and proximity centrality. A group decision matrix is obtained using the Pythagorean fuzzy weighted average operator, and comprehensive scores are calculated using Romanian selection and the group score matrix to rank alternatives. On this basis, new stability definitions collectively called Pythagorean fuzzy stability are proposed in GMCR. Finally, the model is successfully applied to conflicts over sustainable water resource development in the Yellow River, expanding the theoretical scope of GMCR and providing feasible solutions for resolving water resource conflicts.