N-ary relation fuzzy-soft set

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.