Abstract
Fuzzy quantifiers have important applications in a great variety of fields such as database querying, data mining and knowledge discovering, inductive learning and so on. Recently, M.S.Ying introduces a novel fuzzy framework for linguistic quantifiers which are modeled by Sugeno integrals. Essentially, the conjunction and disjunction in Ying’s framework are interpreted as the “min” and “max” operations, which restricts the application of this theory in some sense. In this paper, we extended Ying’s framework by interpreting the conjunction and disjunction as t-norm and t-conorm respectively. And some elegant logical results for our framework have been obtained.
This work is supported by the National Foundation of Natural Sciences of China (Grant No: 60663002) and the Grant Project of science and technology of The Education Department of Jiangxi Province under Grant No 200618.
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Wang, Sm., Zhao, B., Wang, P. (2007). A Logical Framework for Fuzzy Quantifiers Part I: Basic Properties. In: Castillo, O., Melin, P., Ross, O.M., Sepúlveda Cruz, R., Pedrycz, W., Kacprzyk, J. (eds) Theoretical Advances and Applications of Fuzzy Logic and Soft Computing. Advances in Soft Computing, vol 42. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72434-6_61
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DOI: https://doi.org/10.1007/978-3-540-72434-6_61
Publisher Name: Springer, Berlin, Heidelberg
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