Fuzzifying bornivorous sets of fuzzifying bornological linear spaces

Year 2024, Early Access, 1 - 12

C. H. Yan

https://doi.org/10.15672/hujms.1264856

Abstract

The main purpose of this paper is to introduce a notion of
fuzzifying bornivorous sets of fuzzifying bornological linear
spaces. In particular, we provide an example of fuzzifying
bornivorous sets on a fuzzifying topological linear space with its
von Neumann bornology. Furthermore, the description of fuzzifying
open sets of fuzzifying bornological linear spaces is showed and its
equivalent illustration is discussed as well. In addition, we study
the dual relationship of fuzzifying open and close sets. The
fuzzifying topological space induced by fuzzifying open sets is also
discussed.

Keywords

Fuzzifying bornivorous set, fuzzifying bornological linear space, fuzzifying open set, fuzzifying topological linear space

Supporting Institution

National Natural Science Foundation of China

Project Number

No.:12071225

References

• [1] M. Abel and A. Šostak, Towards the theory of L-bornological spaces, Iran. J. Fuzzy Syst. 8 (1), 19–28, 2011.