Application Multi-Fuzzy Soft Sets in Hypermodules

KAZANCI O., Hoskova-Mayerova S., Davvaz B.

MATHEMATICS, cilt.9, sa.18, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 18
  • Basım Tarihi: 2021
  • Doi Numarası: 10.3390/math9182182
  • Dergi Adı: MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: multi-fuzzy set, multi-fuzzy soft set, multi-fuzzy soft hypermodule, HYPERIDEALS, QUOTIENT, HEIGHT
  • Karadeniz Teknik Üniversitesi Adresli: Hayır

Özet

The goal of this paper is to introduce a novel soft hyperstructure called multi-fuzzy soft hyperstructure. We investigate the notion of multi-fuzzy soft hypermodules and some of their structural properties are discussed. We discuss the behavior image and inverse image of a multi-fuzzy soft set under the multi-fuzzy soft function. According to Zadeh's extension principle, we prove that the image and inverse image of a multi-fuzzy soft hypermodules are further multi-fuzzy soft hypermodule.