Abstract
In this Chapter we introduce not fully determined fuzzy sets i.e. interval-valued fuzzy sets and Intuitionistic Atanassov’s fuzzy sets. We defined notions and methods describing cardinalities of such sets together with multiple examples. We presented methods for their application in decision-making algorithms with uncertain information. The Chapter finishes with analysis of efficacy of algorithms in ovarian cancer differentiation.
Counting belongs to the most basic and frequent mental activities of humans. This is hardly surprising as cardinality seems to be one of the most fundamental characteristics of a given collection of elements. It forms an important type of information about that collection, a basis for coming to a decision in a lot of situations and in many dimensions of our life.
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Dyczkowski, K. (2018). Cardinalities of Interval-Valued Fuzzy Sets and Their Applications in Decision Making with Imperfect Information. In: Intelligent Medical Decision Support System Based on Imperfect Information. Studies in Computational Intelligence, vol 735. Springer, Cham. https://doi.org/10.1007/978-3-319-67005-8_4
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DOI: https://doi.org/10.1007/978-3-319-67005-8_4
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