NEAR APPROXIMATIONS IN VECTOR SPACES

Authors : Hatice Taşbozan

Pages : 114-120

Doi:10.33773/jum.822384

View : 16 | Download : 14

Publication Date : 2020-07-31

Article Type : Research

Abstract :Near set theory presents a fundamental basis for observation, comparison and classification of perceptual granules. Soft set theory, which is initiated by Molodtsov [1], is proposed as a general framework to model vagueness. Combine the soft sets approach with near set theory giving rise to the new concepts of soft nearness approximation space. Tasbozan et al. [2] introduce the soft sets based on a near approximation space. The relations between near sets and algebraic systems endowed with two binary operations such as rings, groups have been considered. This paper concerned a relationship between near approximation and vector spaces.
Keywords : Lower and upper approximations, Near sets, Near soft sets, Near soft vector space, Near subsets in the vector space, Soft sets.