4.5 Article

N-dimensional (α, β)-fuzzy H-ideals in hemirings

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Publisher

SPRINGER HEIDELBERG
DOI: 10.1007/s13042-012-0141-5

Keywords

Hemiring; Ideals; H-ideals; N-dimensional (alpha, beta)-fuzzy ideal

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In this paper, we are combining the notions of n-dimensional fuzzy set and n-dimensional fuzzy point to introduce a new notion called n-dimensional (alpha, beta)-fuzzy ideals in hemirings. The defined notion is a generalization of fuzzy ideals, interval valued fuzzy ideals, (alpha, beta)-fuzzy ideals and interval valued (alpha, beta)-fuzzy ideals in hemirings. We describe the characterization of n-dimensional (alpha, beta)fuzzy ideals in hemirings by upper level set. More over we define n-dimensional prime (alpha, beta)-fuzzy ideals in hemirings.

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