Fuzzy Soft Sets over Fully UP-Semigroups

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v12i2.3412

Keywords:

UP-algebra, fully UP-semigroup, fuzzy soft set

Abstract

In this paper, we introduce ten types of fuzzy soft sets over fully UP-semigroups, and investigate the algebraic properties of fuzzy soft sets under the operations of (extended) intersection and (restricted) union.
Further, we discuss the relation between some conditions of fuzzy soft sets and fuzzy soft UP$\mathrm{_{s}}$-subalgebras (resp., fuzzy soft UP$\mathrm{_{i}}$-subalgebras, fuzzy soft near UP$\mathrm{_{s}}$-filters, fuzzy soft near UP$\mathrm{_{i}}$-filters, fuzzy soft UP$\mathrm{_{s}}$-filters, fuzzy soft UP$\mathrm{_{i}}$-filters, fuzzy soft UP$\mathrm{_{s}}$-ideals, fuzzy soft UP$\mathrm{_{i}}$-ideals, fuzzy soft strongly UP$\mathrm{_{s}}$-ideals, fuzzy soft strongly UP$\mathrm{_{i}}$-ideals) of fully UP-semigroups.

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Published

2019-04-29

Issue

Vol. 12 No. 2: (April 2019)

Section

Algebra

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

Fuzzy Soft Sets over Fully UP-Semigroups. (2019). European Journal of Pure and Applied Mathematics, 12(2), 294-331. https://doi.org/10.29020/nybg.ejpam.v12i2.3412