Degrees of (L, M)-fuzzy bornologies

Abstract

This article is devoted to present the degree to which a mapping defined from L X {L}^{X} to M , M, which is an ( L , M ) \left(L,M) -fuzzy bornology in the sense of Liang et al. In this respect, the degree to which L L -subset is bounded according to the given bornological structure is described. In addition, the notions of boundedness degree and the boundedness preserving degree of a mapping defined between bornological spaces are introduced. The characterizations of the provided notions are studied.