# THE CONSTRUCTION OF SOFT SETS FROM FUZZY SUBSETS

• Na'imah Hijriati Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Lambung Mangkurat, Indonesia
• Irma Sari Yulianti Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Lambung Mangkurat, Indonesia
• Dewi Sri Susanti Department of Statistics, Faculty of Mathematics and Natural Sciences, Universitas Lambung Mangkurat, Indonesia
• Dewi Anggraini Department of Statistics, Faculty of Mathematics and Natural Sciences, Universitas Lambung Mangkurat, Indonesia
Keywords: Fuzzy subset, Soft sets, Soft sets formed from fuzzy subsets

### Abstract

Molodtsov introduced the concept of soft sets formed from fuzzy subsets in 1999. The soft set formed from a fuzzy subset is a particular form of a soft set on its parameter set. On a soft set formed from a fuzzy subset, the parameter used is the image of a fuzzy subset which is then mapped to the collection of all subsets of a universal set. This research explains the construction of soft sets formed from fuzzy subsets. We provide the sufficient condition that a soft set formed from a fuzzy subset is a subset of another soft set. Also, give some properties of the soft sets formed from a fuzzy subset related to complement and operations concepts in soft sets

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Published
2023-09-30
How to Cite
[1]
N. Hijriati, I. Yulianti, D. Susanti, and D. Anggraini, “THE CONSTRUCTION OF SOFT SETS FROM FUZZY SUBSETS”, BAREKENG: J. Math. & App., vol. 17, no. 3, pp. 1473-1482, Sep. 2023.
Section
Articles