Each topic is treated in systematic, logical and lucid manner. The Scope and depth of coverage of each topic are strictly according to the world wide fuzzy topological space syllabus. Concepts are introduced in a sequential way with detailed explanations and illustrations. Author's Achievements and Awards in Abroad: YOUNG SCIENTIST (DST), MALAYSIA, 2010-2011; 1. International Conference on Mathematics and Statistics held at Kuala-Lampur, Malaysia, on 3-5 November 2010-2011. Selected as Young Scientist (DST). SENIOR SCIENTIST (DST), LONDON, U.K. 2011-2012; 2. World Science Congress (LONDON) is an International Conference of Applied and Engineering Mathematics, selected as a Senior Scientist, the congress was held in London, U.K. on 6-9 July, 2011-2012. (DST). ABROAD PRESENTATION 3. Presented 05 (FIVE) Papers in International Conference in Abroad. 4. Presented 42 (FORTY TWO) Papers in Various National and International Conferences. 5. Published 32 (THIRTY TWO) Papers in Various International Reputed Journals.