Gen. Math. Notes, Vol. 17, No. 2, August, 2013, pp. 76-80 ISSN 2219-7184; Copyright © ICSRS Publication, 2013 www.i-csrs.org Available free online at http://www.geman.in On Some Ideals of Fuzzy Points Semigroups E.H. Hamouda Department of Basic Sciences, Faculty of Industrial Education Beni-Suef University, Beni-Suef, Egypt E-mail: ehamouda70@gmail.com (Received: 20-5-13 / Accepted: 30-6-13) Abstract Kim [Int. J. Math. & Math. Sc. 26:11 (2001), 707-712.] Considered the semigroup of the fuzzy points of a semigroup . In this paper, we discuss the relation between some ideals of and the subset of . Keywords: Fuzzy set; Semigroup; Fuzzy point; Minimal ideal. 1 Introduction Zadeh [9] introduced the concept of a fuzzy set for the first time and this concept was applied by Rosenfeld [8] to define fuzzy subgroups and fuzzy ideals. Based on this crucial work, Kuroki [3, 4, 5, 6] defined a fuzzy semigroup and various kinds of fuzzy ideals in semigroups and characterized them. Authors in [1] investigated the existence of a fuzzy kernel and minimal fuzzy ideals in semigroups. They showed that a subset of a semigroup is minimal ideal if and only if the characteristic function of , C , is minimal fuzzy ideal of . In [2], Kim considered the semigroup of the fuzzy points of a semigroup , and discussed the relation between the fuzzy interior ideals and the subsets of . In this paper, we discuss the relation between some ideals of and the subset C of .