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
DOI: https://doi.org/10.30598/barekengvol17iss3pp1473-1482
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.
Issue
Vol 17 No 3 (2023): BAREKENG: Journal of Mathematics and Its Applications
Section
Articles

Copyright (c) 2023 Na'imah Hijriati, Irma Sari Yulianti, Dewi Sri Susanti, Dewi Anggraini

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