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

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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How to Cite

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