Semi-fuzzy quantifiers as a tool for building linguistic summaries of data patterns

In this paper we discuss how semi-fuzzy quantifiers are a useful tool for modeling linguistic summaries from data in two aspects: how they provide a systematic mechanism for performing the data summarization task involving fuzzy quantifiers that are different from the usual unary and binary ones and also how they can be used for the detection of quantified patterns in data.

[1]  S. Barro,et al.  Definition and classification of semi-fuzzy quantifiers for the evaluation of fuzzy quantified sentences , 2003, Int. J. Approx. Reason..

[2]  Anna Wilbik,et al.  Using Fuzzy Linguistic Summaries for the Comparison of Time Series: an application to the analysis of investment fund quotations , 2009, IFSA/EUSFLAT Conf..

[3]  Hans Smessaert,et al.  Monotonicity properties of comparative determiners , 1996 .

[4]  Edward L. Keenan,et al.  The Semantics of Determiners , 1996 .

[5]  Lotfi A. Zadeh,et al.  A COMPUTATIONAL APPROACH TO FUZZY QUANTIFIERS IN NATURAL LANGUAGES , 1983 .

[6]  Senén Barro,et al.  A Probabilistic Quantifier Fuzzification Mechanism: The Model and Its Evaluation for Information Retrieval , 2005, IEEE Transactions on Fuzzy Systems.

[7]  J. V. D. Auwera The semantics of determiners , 1982 .

[8]  Stanley Peters,et al.  Quantifiers in language and logic , 2006 .

[9]  D. Losada,et al.  A novel probabilistic quantifier fuzzification mechanism for information retrieval , 2022 .

[10]  Ingo Glöckner,et al.  Optimal Selection of Proportional Bounding Quantifiers in Linguistic Data Summarization , 2006, SMPS.

[11]  Alberto Bugarín,et al.  Efficient Evaluation of Similarity Quantified Expressions in the Temporal Domain , 2006, SMPS.

[12]  Ingo Glöckner Fuzzy Quantifiers: A Computational Theory , 2006 .

[13]  Gracián Triviño,et al.  Automatically Generated Linguistic Summaries of Energy Consumption Data , 2009, 2009 Ninth International Conference on Intelligent Systems Design and Applications.

[14]  A. Bugar Linguistic summarization of data with probabilistic fuzzy quantifiers , 2010 .

[15]  Daniel Sánchez,et al.  Linguistic comparison of time series: a fuzzy approach , 2010 .

[16]  Janusz Kacprzyk,et al.  LINGUISTIC SUMMARIES OF DATA USING FUZZY LOGIC , 2001 .

[17]  Edward L. Keenan,et al.  A semantic characterization of natural language determiners , 1986 .

[18]  Dag Westerståhl,et al.  Generalized Quantifiers in Linguistics and Logic , 1997, Handbook of Logic and Language.

[19]  Anna Wilbik,et al.  Linguistic summarization of time series using a fuzzy quantifier driven aggregation , 2008, Fuzzy Sets Syst..