Facets of Uncertainties and Applications ICFUA, Kolkata, India, December 2013 [Hardcover]

Since the emergence of the formal concept of probability theory in the seventeenth century, uncertainty has been perceived solely in terms of probability theory. However, this apparently unique link between uncertainty and probability theory has come under investigation a few decades back. Uncertainties are nowadays accepted to be of various kinds. Uncertainty in general could refer to different sense like not certainly known, questionable, problematic, vague, not definite or determined, ambiguous, liable to change, not reliable. In Indian languages, particularly in Sanskrit-based languages, there are other higher levels of uncertainties. It has been shown that several mathematical concepts such as the theory of fuzzy sets, theory of rough sets, evidence theory, possibility theory, theory of complex systems and complex network, theory of fuzzy measures and uncertainty theory can also successfully model uncertainty.

Part I: Uncertainty Modeling.- Chapter 1. Rough Sets and other Mathematics: Ten Research Programs.- Chapter 2. Dealing with Uncertainty: From Rough Sets to Interactive Rough-Granular Computing.- Chapter 3. An Evolutionary Approach to Secondary Membership Function Selection in Generalized Type- 2 Fuzzy Sets.- Chapter 4. Specificity based defuzzification in approximate reasoning.- Chapter 5. Proto-fuzzy Concepts Generation Technique Using Fuzzy Graph.- Part II: Logic of Uncertainty.- Chapter 6. Open World Models: a View from Rough Set Theory.- Chapter 7. Approximate reasoning under type-2 fuzzy logics.- Chapter 8. Approximation Dialectics of Proto-Transitive Rough Sets.- Part III: Hybridization of Uncertainties.- Chapter 9. A Probabilistic Approach to Information System and Rough Set Theory.- Chapter 10.<lÃS