On Fuzzy e*-Open Sets and Fuzzy (D, S)*-Sets Palanisamy M.1, Vadivel A.2 1Department of Mathematics, Vivekanandha College of Arts and Sciences for Women (Autonomous), Elayampalayam-637205, Namakkal-Dt. India. Email: palaniva26@gmail.com 2Department of Mathematics, Government Arts College, Karur-639005, India. Email: avmaths@gmail.com AMS Mathematics Subject Classification (2010): 54A40, 03E72 Online published on 7 February, 2019. Abstract The aim of this paper is to introduce some new classes of fuzzy sets and some new classes of fuzzy continuity namely fuzzy e*-open sets, fuzzy (D, S)-sets, fuzzy (DS,∈)-sets, fuzzy (D, S)*-sets, fuzzy (DS, ∈)*-sets, fuzzy e-continuity, fuzzy (D, S)* continuity and fuzzy (DS, ∈)*-continuity. Properties of these new concepts are investigated. Moreover, some new decompositions of fuzzy continuity are provided. Top Keywords Fuzzy Continuity, Fuzzy e*-open sets, Fuzzy (D, S)-sets, Fuzzy (DS, ∈)-sets, Fuzzy (D, S)*-sets, Fuzzy (DS, ∈)*-sets, Fuzzy e-continuity, Fuzzy (D, S)*-continuity and Fuzzy (DS, ∈)*-continuity. Top |