Application Multi-Fuzzy Soft Sets in Hypermodules

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

MATHEMATICS, vol.9, no.18, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 9 Issue: 18
  • Publication Date: 2021
  • Doi Number: 10.3390/math9182182
  • Journal Name: MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Keywords: multi-fuzzy set, multi-fuzzy soft set, multi-fuzzy soft hypermodule, HYPERIDEALS, QUOTIENT, HEIGHT
  • Karadeniz Technical University Affiliated: No

Abstract

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.