Application Multi-Fuzzy Soft Sets in Hypermodules

Osman Kazancı, Sarka Hoskova-Mayerova and Bijan Davvaz
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Osman Kazancı: Department of Mathematics, Karadeniz Technical University, Trabzon 61080, Turkey
Sarka Hoskova-Mayerova: Department of Mathematics and Physics, University of Defence, Kounicova 65, 662 10 Brno, Czech Republic
Bijan Davvaz: Department of Mathematics, Yazd University, Yazd 89136, Iran

Mathematics, 2021, vol. 9, issue 18, 1-14

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.

Keywords: multi-fuzzy set; multi-fuzzy soft set; multi-fuzzy soft hypermodule (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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