A Risk Approach by Credibility TheoryGeorgescu, Irina; Kinnunen, Jani
2013 Fuzzy Information and Engineering
doi: 10.1007/s12543-013-0154-0
AbstractThis paper attempts to treat some topics of risk theory by means of credibility theory. We study the risk aversion of an agent faced with a situation of uncertainty represented by a discrete fuzzy variable, the relationship between stochastic dominance and credibilistic dominance, and an index of riskiness of discrete credibilistic gambles. In the framework of an optimal saving credibilistic model, the way the presence of risk modifies the level of optimal saving is studied. The main tool of our investigation is an operator defined by B. Liu and Y. K. Liu by which to a discrete fuzzy variable one associates a discrete random variable with the same expected value as the former.
A Vague Multivalued Data DependencyMishra, Jaydev; Ghosh, Sharmistha
2013 Fuzzy Information and Engineering
doi: 10.1007/s12543-013-0158-9
AbstractThe work in this paper is an application of vague set theory in relational databases. It is well known that integrity constraints like functional dependency, multivalued dependency, etc. play a key role in any database design. In the present work, the authors introduce a new definition of vague multivalued dependency (VMVD), called α-VMVD, on the basis of α-equality of tuples as defined in the recent work on vague functional dependency [1] in 2012. Next, the definition has been shown to be consistent and finally a set of sound and complete inference axioms have been designed and verified for the α-VMVD.