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An isomorphic approach of fuzzy soft lattices to fuzzy soft Priestley spaces

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Abstract

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.

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Correspondence to Shahida Bashir.

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Communicated by Regivan Hugo Nunes Santiago.

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Shabir, M., Kanwal, S., Bashir, S. et al. An isomorphic approach of fuzzy soft lattices to fuzzy soft Priestley spaces. Comp. Appl. Math. 39, 312 (2020). https://doi.org/10.1007/s40314-020-01359-5

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  • DOI: https://doi.org/10.1007/s40314-020-01359-5

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