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International Journal of Innovative Research and Development, Vol 4, No 3 (2015), Pagination:
Abstract
The notions of left(right) vague ideal and normal left(right) vague ideals of Γ-semirings with membership and non-membership functions taking values in unit interval of real numbers are introduced which generalize the existing notions left(right) fuzzy ideal and normal left(right) fuzzy ideal of Γ-semiring and studied various properties. Further we proved, a non-constant maximal element in set of all normal left (right) vague idea of a Γ-smearing takes only two values [0,0] and [1,1].
Mathematics Subject Classification: 08A72, 20N25, 03E72.
Keywords
Vague set, vague cut, vague characteristic set, vague left (right) ideal, normal vague left (right) ideal
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