Volume 3, Issue 6, December 2014, Page: 303-306
(α, β)- Infimum and Supremum of Q- Fuzzy Subgroups over Implication Operator of M* ([0,1])
R. Nagarajan, Department of Mathematics, J. J College of Engineering &Technology, Tiruchirappalli-09, India
K. Balamurugan, Department of Mathematics, M. A. M. School of Engineering, Trichirappalli-105, India
Received: Aug. 25, 2014;       Accepted: Dec. 18, 2014;       Published: Dec. 23, 2014
DOI: 10.11648/j.acm.20140306.13      View  2568      Downloads  143
Abstract
In this paper, the concept of (α,β)- inf-sup Q-fuzzy set is generalized and there after we defined (α,β)- inf-sup Q-fuzzy group and a few of its properties are discussed. On the other hand we give the definition of the upper normal Q- fuzzy subgroups, and study the main theorem for this. We also give new results on this subject. Characterization of inf-sup normal Q-fuzzy subgroups also investigated.
Keywords
Fuzzy Set, (α,β)- Inf-Sup Q-Fuzzy Group, (α,β)- Inf-Sup Q-Fuzzy Normal Subgroups, Q-Fuzzy Subset, Fuzzy Group
To cite this article
R. Nagarajan, K. Balamurugan, (α, β)- Infimum and Supremum of Q- Fuzzy Subgroups over Implication Operator of M* ([0,1]), Applied and Computational Mathematics. Vol. 3, No. 6, 2014, pp. 303-306. doi: 10.11648/j.acm.20140306.13
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