A textural view of soft fuzzy rough sets


Dost S.

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, cilt.28, ss.2519-2535, 2015 (SCI İndekslerine Giren Dergi)

  • Cilt numarası: 28 Konu: 6
  • Basım Tarihi: 2015
  • Doi Numarası: 10.3233/ifs-151531
  • Dergi Adı: JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
  • Sayfa Sayısı: ss.2519-2535

Özet

This paper aims to give a new insight for soft fuzzy sets. Firstly, using textural soft fuzzy direlations on a soft fuzzy lattice, we obtain a soft fuzzy rough set algebra where the inverse soft fuzzy relation and inverse soft fuzzy corelation are the upper approximation and lower approximation, respectively. On the other hand, we consider Alexandroff soft fuzzy topology and we prove that there exists a one-to-one correspondence between the Alexandroff topologies and the reflexive and transitive direlations on a texture space.