1PG&Research Department of mathematics, Jamal Mohamed college, Trichirappalli, 20.
2Department of mathematics, JJ college of Engg & Tech, Trichirappalli-09.
2000 Ams subject classification: 20N25, 03E72, 03F055.
In this paper, we fuzzify the new class of algebraic structures introduced by (5,9). In this fuzzification, we introduce the notion of Q- fuzzy groups (QFG) and investigate some of their related properties. The purpose of this study is to implement the fuzzy set theory and group theory in Q- fuzzy groups. This fuzzification leads to development of new notions over fuzzy groups. Characterisation of Q- fuzzy groups (QFCG) and normal Q- fuzzy groups (QFNG) are given.
Q-fuzzyset, Q-fuzzygroupfamily, Level subset, Homomorphism, Q- fuzzy normal, Q- fuzzy characteristric
