No coin nor oath required. For personal study only.
A basic problem at the present stage of the information society is how to manage the cognitive process while taking into account its intrinsic features of uncertainty, including imprecision and vagueness. This has both theoretical and practical implications in technology, economics, bio-medicine, etc.
Traditional statistics has developed tools and procedures for coping with this problem, assuming that uncertainty is basically due to random mechanisms appropriately handled by means of probability. The theory of fuzzy sets and its generalization to what may be called ''fuzzy thinking'' have widened the scope of statistics, enabling us to deal with more general sources of uncertainty such as vagueness and imprecision as referred to both empirical data and/or models for data analysis. Despite a growing literature concerning the development and application of fuzzy techniques in statistical analysis (with special reference to regression and clustering), the need is felt for a more systematic insight into the potential of cross fertilization between statistics and fuzzy logic.
This special issue is meant to cover foundations, methodology, and applications of the fuzzy approach to statistics. Foundational issues may include the use of possibility theory in statistics, the least-squares approach to building statistical models for fuzzy data, the construction and utilization of fuzzy probabilistic models in statistical analysis, the relationship between conditional probability and fuzzy information in the inferential framework, and the comparison between fuzzy methods and traditional statistical methods.
The Methodological domain to be investigated from a fuzzy viewpoint may encompass both exploratory and inferential techniques. Invitation to submitting is also extended to original applications of fuzzy statistical methods in such fields as economics and finance, social sciences, bio-medicine, environmental sciences, and technology. The discussion of computational aspects in the above context is particularly welcome.
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