NEAR APPROXIMATIONS IN VECTOR SPACES

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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