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

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Abstract

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 (α, β)-fuzzy ideals in hemirings. The defined notion is a generalization of fuzzy ideals, interval valued fuzzy ideals, (α, β)-fuzzy ideals and interval valued (α, β)-fuzzy ideals in hemirings. We describe the characterization of n-dimensional (α, β)-fuzzy ideals in hemirings by upper level set. More over we define n-dimensional prime (α, β)-fuzzy ideals in hemirings.

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  1. Department of Mathematics, Quaid-I-Azam University, 45320, Islamabad, Pakistan

    Saleem Abdullah

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  1. Saleem Abdullah
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Correspondence to Saleem Abdullah.

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Abdullah, S. N-dimensional (α, β)-fuzzy H-ideals in hemirings. Int. J. Mach. Learn. & Cyber. 5, 635–645 (2014). https://doi.org/10.1007/s13042-012-0141-5

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  • DOI: https://doi.org/10.1007/s13042-012-0141-5

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