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An isomorphic approach of fuzzy soft lattices to fuzzy soft Priestley spaces
Computational and Applied Mathematics ( IF 2.998 ) Pub Date : 2020-11-04 , DOI: 10.1007/s40314-020-01359-5
Muhammad Shabir , Shakreen Kanwal , Shahida Bashir , Rabia Mazhar

The main purpose of this paper is to establish a relation between fuzzy soft lattices and fuzzy soft Priestley spaces. We have proved that each bounded distributive lattice of fuzzy soft sets is isomorphic to the lattice of all clopen upsets of a Priestley space. For this reason, we have defined fuzzy soft upsets, fuzzy soft downsets, fuzzy soft filters, fuzzy soft ideals and fuzzy soft Priestley space. To endorse the above relation, we have proved some related results.



中文翻译:

模糊软晶格到模糊软Priestley空间的同构方法

本文的主要目的是建立模糊软格与模糊软Priestley空间之间的关系。我们已经证明,模糊软集的每个有界分布格与Priestley空间的所有clopen扰动的格是同构的。因此,我们定义了模糊软扰动,模糊软扰动,模糊软滤波器,模糊软理想和模糊软Priestley空间。为了证明上述关系,我们已经证明了一些相关结果。

更新日期:2020-11-04
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