\(Q_1\)- fuzzy quasi ideals in semiring

  • M. R. Thirumagal Annamalai University
  • P. Murugadas Govt. Arts and Science College


 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.

How to Cite
THIRUMAGAL, M. R.; MURUGADAS, P.. \(Q_1\)- fuzzy quasi ideals in semiring. International Journal of Algebra and Statistics, [S.l.], v. 6, n. 1-2, p. 144-157, sep. 2017. ISSN 2314-4556. Available at: <http://m-sciences.com/index.php?journal=ijas&page=article&op=view&path%5B%5D=1295>. Date accessed: 23 mar. 2018. doi: https://doi.org/10.20454/ijas.2017.1295.