On fuzziness in information retrieval
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TL;DR
The IR systems are faced with a need to manage fuzziness and not merely to react to fuzziness, and fuzzy assignment is modelled as a system (X,Y,f:X→ℱ(Y)) where f(x)(y) is the link between the information item x and the descriptor y.
Abstract
The IR systems are faced with a need to manage fuzziness and not merely to react to fuzziness. The indexing process is viewed as representing the set X of information items by fuzzy subsets ℱ(Y) of the descriptor set Y. A fuzzy assignment is modelled as a system (X,Y,f:X→ℱ(Y)) where f(x)(y) is the link between the information item x and the descriptor y. The grade of importance of a subset of descriptors is expressed by a fuzzy measure μ:℘(Y)→[0,1]. In this way syntax estimation is made possible by using a fuzzy integral ff(x)(y)oμ. The information items are ranked according to a new application X→[0,1] induced by the global measure μ. Finally, a descriptor is viewed as a fuzzy set.