\(Q_1\)- fuzzy quasi ideals in semiring

Abstract

The authors in [9] introduced Q1 -fuzzy set which is a natural generalization Q-fuzzy sets studied by [5, 7, 12, 13] and studied some results related to level subsets of Q1 -fuzzy set. In this study composition of two Q1 -fuzzy sets, Q1 -fuzzy points, Q1 -fuzzy quasi (prime, semiprime, irreducible, strongly irreducible) ideals are defined and revealed some related properties of these mentioned ideals. Further Q1 -fuzzy left (right) ideals generated by fuzzy points are exhibited and some quasi-ideals in terms of idempotent Q1 -fuzzy points are found.