Fuzzy Mathematical Concepts deals with the theory and applications of Fuzzy sets, Fuzzy relations, Fuzzy logic and Rough sets including the theory and applications to Algebra, Topology, Analysis, probability, and Measure Theory. While the first two chapters deal with basic theory and the prerequisite for the rest of the book, readers interested in Algebra and Logic may go through chapters 3 and 4, those interested in Topology may proceed to chapters 5 to 8 and for Analysis one may read chapters 8 and 9. Readers interested in Rough Set Theory may directly proceed to chapter 10 after completing chapters 1 and 2. A part of the book can be covered in one semester depending on the requirement and the whole book in two semesters.

• • Contains applications of Fuzzy Set Theory to Algebra and Topology • Includes Rough Set Theory and its comparison to Fuzzy Sets

Preface / Fuzzy Subsets and Fuzzy Mappings / Fuzzy Relations and Fuzzy Logic / Fuzzy Groups and Fuzzy Rings / Fuzzy Fields and Fuzzy Linear Spaces / Fuzzy Topological Spaces / Ordered Fuzzy Topological Spaces/ Fuzzy Topological Vector Spaces / Fuzzy Metric Space / Possibility and Fuzzy Measure / Fuzzy Sets and Rough Sets/ Bibliography / Index.

Undergraduate and Graduate Students of Mathematics, Statistics, Engineering, Computer Science, Science and Management