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A Prototype Theory Interpretation of Label Semantics

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Uncertainty Modeling for Data Mining

Part of the book series: Advanced Topics in Science and Technology in China ((ATSTC))

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Abstract

Using words rather than numbers to convey vague information as part of uncertain reasoning is a sophisticated human activity. The theory of fuzzy sets is now a popular tool for computing with words[12] which attempts to formally capture this human reasoning process[3–4] Furthermore, linguistic modeling based on fuzzy IF-THEN rules [6–8] has achieved promising results in many application areas. However, the currently proposed interpretations of the membership function in fuzzy set theory are not consistent with the truth-functional calculus of fuzzy logic[9]. Alternatively, from the philosophical viewpoint of the epistemic stance, Lawry proposed a functional (but non-truth functional) calculus, label semantics, for computing with words[10,11]. In this framework, the meaning of linguistic labels is encoded by mass functions which represent the subjective probabilities that a given set of labels is appropriate to describe a given instance. Label semantics is a powerful new tool for modelling with vague concepts, the possible applications of which include knowledge fusion[12], decision tree learning[13], linguistic rule induction[14], and collective decision making[15,16].

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© 2014 Zhejiang University Press, Hangzhou and Springer-Verlag Berlin Heidelberg

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Qin, Z., Tang, Y. (2014). A Prototype Theory Interpretation of Label Semantics. In: Uncertainty Modeling for Data Mining. Advanced Topics in Science and Technology in China. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41251-6_9

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  • DOI: https://doi.org/10.1007/978-3-642-41251-6_9

  • Publisher Name: Springer, Berlin, Heidelberg

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  • Online ISBN: 978-3-642-41251-6

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