NEAR APPROXIMATIONS IN VECTOR SPACES

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Journal of Universal Mathematics
Volume:3 Issue:2
NEAR APPROXIMATIONS IN VECTOR SPACES

NEAR APPROXIMATIONS IN VECTOR SPACES

Pages : 114-120

View : 37 | Download : 13

Publication Date : 2020-07-31

Article Type : Research Paper

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

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