N-ary relation fuzzy-soft set

Alhussain, Zahraa F. Abd; Hassan, Asmhan F.

doi:10.47974/JIM-1564

Open Access Research Article

N-ary relation fuzzy-soft set

^*Zahraa F. Abd AlhussainCorresponding authorzahraaf.aldabbagh@uokufa.edu.iqDepartment of MathematicsFaculty of Education for WomenKufa UniversityKufa, IraqView full profile → , Asmhan F. Hassanasmhanf.alzuhairy@uokufa.edu.iqDepartment of MathematicsFaculty of Education for WomenKufa UniversityKufa, IraqView full profile →

* Corresponding author · click or hover a name for details

pp. 1449–1454Vol. 26Issue 7October 2023DOI: 10.47974/JIM-1564XML

Published Online:: 01 Nov 2023
Article type:: Research Article
Language:: EN
Article no.:: JIM-1564
Pages:: 1449–1454

Abstract

We introduce in this paper a novel idea (new model) of fuzzy-soft-sets via linking the Binary, Ternary and N-ary relation soft-sets definitions together with the fuzzy-sets definitions for power sets and then arises the novel kinds which are named as (Binary relation, Ternary relation, N-ary relation fuzzy-soft sets), we will denote for them as (B-R-F-S), (T-R-F-S) and (N-R-F-S) resp. , which are more useful and functional to create theoretical and practical works also to make some new studies (new ideas) cutting-edge the fuzzy-soft-set theory. We focus on the main processess on N-ary relation fuzzy-soft-sets and their some basic properties. The new kinds of fuzzy-soft-sets are very advantageous and contributed in some important applications.

Keywords

Soft-set Fuzzy-set Fuzzy-soft set N-ary relation soft-set N-ary relation fuzzy-soft set

Subject Classifications

Primary 03E72Secondary 06D72

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