INTERNATIONAL FRONTIER SCIENCE LETTERS(IFSL) ISSN:2349-4484 Vol. 1 No. 2 (2014), pp. 37-46 www.isfs.org.in © INTERNATIONAL SOCIETY OF FRONTIER SCIENCE (ISFS) 37 On Soft totally bounded sets B.Surendranath Reddy 1 and Sayed Jalil 2 1 Assistant Professor, School Of Mathematical Sciences, Swami Ramanand Tirth Marathwada University, Nanded, India. 2 Research Scholar, School Of Mathematical Sciences, Swami Ramanand Tirth Marathwada University, Nanded,India Abstract In this paper, we investigate some result on soft bounded and soft totally bounded sets and derive relation among them. We investigate some necessary conditions on soft totally bounded sets. We also prove soft totally bounded set is separable. Keywords: Soft set, Soft point, Soft metric, Soft open ball, Soft bounded set. AMS subject classification: 03E72, 08A72. Introduction Many times real life problems involve uncertainties, imprecision and vagueness. In particular, such classes of problems arise in economics, engineering environmental sciences, medical sciences, etc. In course of time, a number of mathematical theories such as probability theory, fuzzy set theory, set theory, interval mathematics theory, vague set theory, etc. formulated to solve such problems, have been found only partially successful. The major reason for the difficulties arising with the above mentioned theories is due to the inadequacies of their parameterization tools ([3]).In order to overcome these difficulties, Molodtsov [3] introduced soft set theory as a completely new mathematical tool. This prototype work of Molodtsov, besides, included directions for further research, especially discovering new operations on soft sets and their properties. In recent year many researches like Feng et al.([1]), Maji et al.([2]) years. shabir and Naz ([5]), sujao Das and Samanta ([6],[7]), sadi Bayrramov and Cigdem Gunduz ([4]), have contributed to the development sof set theory. In this paper, section 1 is about preliminaries. In section 2, we derive some results on soft bounded sets in terms of soft open balls and diameter. In section 3, we investigate soft totally bounded sets with examples and prove some necessary conditions of soft totally bounded sets.