المستخلص: |
In this thesis, we introduce the notions of Q-Smarandche fuzzy implicative ideal and Q-Smarandche fuzzy sub-implicative ideal of a Q-Smarandche BH-algebra. We state and prove some theorems, which determine the relationships among these notions and other ideals of a Q-Smarandche BH-algebra in fuzzy sense. By some examples, we show that these notions are different. Also, we give the concepts of Q-Smarandche fuzzy sub-implicative ideal and Q-Smarandche fuzzy sub-commutative ideal of a Q-Smarandche BH-algebra. And we study some related properties, the relationships among them and some other ideals of a Q-Smarandche BH-algebra in fuzzy sense. On the other hand, the concepts of a Q-Smarandche fuzzy implicative ideal and Q- Smarandche fuzzy sub-implicative ideal with respect to an element of a Q-Smarandche BH-algebra are defined and these new notions are linked with some kinds of Q-Smarandach ideals of Q-Smarandache BH-algebra.
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