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Abstract
Young Bae Jun made effort in defining a remarkable structure namely cubic structure. Concept of cubic sets which is inter linked with interval-valued fuzzy set and fuzzy set. Interval-valued fuzzy set is another generalization of fuzzy sets that was introduced by Lotfi Asker Zadeh. Motivated by the theory of cubic structure our aim in this paper is to introduce the notion of Q - cubic bi-ideals of near-rings. We also provide some results and study their related properties with examples.
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