%0 Journal Article %T Ideal theory of semigroups based on \((3,2)\)-fuzzy sets %A Vanishree, M. %A Rajesh, N. %A Rafi, N. %A Bandaru, R. %J Journal of Mathematics and Computer Science %D 2023 %V 28 %N 2 %@ ISSN 2008-949X %F Vanishree2023 %X In this paper, the notions of \((3,2)\)-fuzzy ideal, \((3,2)\)-fuzzy bi-ideal, \((3,2)\)-fuzzy interior ideal and \((3,2)\)-fuzzy \((1,2)\)-ideal of a semigroup are introduced and investigated their properties. The relation between (\((3,2)\)-fuzzy) ideal, bi-ideal, interior ideal and \((1,2)\)-ideal are given. We characterized \((3,2)\)-fuzzy \((1,2)\)-ideal in terms of \(f^3\)-level \(\alpha\)-cut and \(g^2\)-level \(\alpha\)-cut. A necessary and sufficient condition for a subset of a semigroup to be \((1,2)\)-ideal in terms of \((3,2)\)-fuzzy \((1,2)\)-ideal of a semigroup is given. %9 journal article %R 10.22436/jmcs.028.02.06 %U http://dx.doi.org/10.22436/jmcs.028.02.06 %P 182--191