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One Approach to the Description of Linguistic Uncertainties

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Computational Collective Intelligence (ICCCI 2017)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 10449))

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Abstract

The basic concept of this paper is to interpret some uncertainties of our speech. It differs from traditional approach [1]. The main idea is to build new functions using the Fuzzy C-means Clustering Algorithm [4]. We will adhere to Zadeh’s idea to represent a hedge as an operator acting on fuzzy sets and will consider four uncertainties: much larger, much smaller, slightly smaller and slightly larger (we will call them modifiers). These modifiers act on two fuzzy sets, so we have a linguistic variable with two values. The result of research is an algorithm, which determines the membership function of this variable’s value after the modifier’s action. Some properties, showing the conformity of the algorithm to the semantics of natural language and convergence in particular cases, are also described. The application of this work is the task of extracting from the database objects satisfying the semantics of the modifiers used.

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Notes

  1. 1.

    [3], p. 41.

  2. 2.

    These requirements were taken from [2], pp. 54–57.

References

  1. Zadeh, L.A.: A fuzzy-set-theoretic interpretation of linguistic hedges. J. Cybern. 2(3), 4–34 (1972)

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  2. Ryjov, A.P.: Elements of the theory of fuzzy sets and its applications. Moscow (2003). (in Russian)

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  3. Ryjov, A.P.: Some problems of optimization and personification of social networks. LAP Lambert Academic Publishing (2015). (in Russian)

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  4. Bezdek, J.C.: Pattern Recognition with Fuzzy Objective Function Algorithms. Plenum Press, New York (1981)

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Acknowledgements

My thanks are due to A.P. Ryjov for his insightful comments on earlier drafts and useful tips on the organization of my research.

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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    Nikita Ogorodnikov

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  1. Nikita Ogorodnikov
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Correspondence to Nikita Ogorodnikov .

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Editors and Affiliations

  1. Department of Information Systems, Faculty of Computer Science and Management, Wrocław University of Science and Technology, Wrocław, Poland

    Ngoc Thanh Nguyen

  2. Department of Computer Science, University of Cyprus, Nicosia, Cyprus

    George A. Papadopoulos

  3. Department of Information Systems, Gdynia Maritime University, Gdynia, Poland

    Piotr Jędrzejowicz

  4. Department of Information Systems, Faculty of Computer Science and Management, Wrocław University of Science and Technology, Wrocław, Poland

    Bogdan Trawiński

  5. Department of Information Systems, University of Münster, Münster, Germany

    Gottfried Vossen

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Ogorodnikov, N. (2017). One Approach to the Description of Linguistic Uncertainties. In: Nguyen, N., Papadopoulos, G., Jędrzejowicz, P., Trawiński, B., Vossen, G. (eds) Computational Collective Intelligence. ICCCI 2017. Lecture Notes in Computer Science(), vol 10449. Springer, Cham. https://doi.org/10.1007/978-3-319-67077-5_38

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  • DOI: https://doi.org/10.1007/978-3-319-67077-5_38

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-67076-8

  • Online ISBN: 978-3-319-67077-5

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