Fuzzy soft sets represent a generalization of fuzzy sets with considerable application potential in decision-making problems, optimization, and computer science. In the paper, we use the fact that the fuzzy soft sets powerset theory is defined by the monad and, using this theory, we introduce the concept of fuzzy soft relations defined by the monad. Using that general method, we can also introduce the fuzzy soft approximation of fuzzy soft sets defined by fuzzy soft relations. We show that fuzzy soft sets and fuzzy soft approximations can be naturally used in selective color segmentation problem, where reliable and fully automated methods do not yet exist.

中文翻译：

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模糊软关系的模糊软集逼近与图像处理应用

模糊软集代表模糊集的一般化，在决策问题，优化和计算机科学中具有相当大的应用潜力。在本文中，我们使用了模糊软集幂集理论由monad定义的事实，并使用该理论引入了monad定义的模糊软关系的概念。使用该通用方法，我们还可以介绍由模糊软关系定义的模糊软集的模糊软逼近。我们表明模糊软集和模糊软逼近可以自然地用于选择性颜色分割问题，而可靠和全自动的方法尚不存在。