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Generalising Social Structure Using Interval Type-2 Fuzzy Sets

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PRIMA 2016: Principles and Practice of Multi-Agent Systems (PRIMA 2016)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9862))

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Abstract

To understand the operation of the informal social sphere in human or artificial societies, we need to be able to identify their existing behavioural conventions (institutions). This includes the contextualisation of seemingly objective facts with subjective assessments, especially when attempting to capture their meaning in the context of the analysed society. An example for this is numeric information that abstractly expresses attributes such as wealth, but only gains meaning in its societal context. In this work we present a conceptual approach that combines clustering techniques and Interval Type-2 Fuzzy Sets to extract structural information from aggregated subjective micro-level observations. A central objective, beyond the aggregation of information, is to facilitate the analysis on multiple levels of social organisation. We introduce the proposed mechanism and discuss its application potential.

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Notes

  1. 1.

    For example, ‘low wealth’ could comprise the interval 0 to 50 ([0, 50]), medium wealth [50, 100], and anything above 100 considered as ‘high wealth’. The membership of boundary values (e.g. 50) with specific sets is of lower certainty than interval centres values (e.g. 75).

  2. 2.

    Grouped boxes indicate system components along with elementary processing steps, whereas individual boxes with italicised labels signify processing artefacts such as inputs (e.g. intervals) and outputs (e.g. membership functions). Dashed boxes indicate the optional nature of the operation (e.g. statistical correction).

References

  1. Acharya, T., Ray, A.K.: Fuzzy set theory in image processing. In: Image Processing: Principles and Applications, pp. 209–226. Wiley, Hoboken (2005)

    Google Scholar 

  2. Ester, M., Kriegel, H.-P., Sander, J., Xu, X.: A Density-based algorithm for discovering clusters in large spatial databases with noise. In: Simoudis, E., Han, J., Fayyad, U. (eds.) Second International Conference on Knowledge Discovery and Data Mining, pp. 226–231. AAAI Press, Portland (1996)

    Google Scholar 

  3. Festinger, L.: A theory of social comparison processes. Hum. Relat. 7(2), 117–140 (1954)

    Article  Google Scholar 

  4. Frantz, C., Purvis, M.K., Savarimuthu, B.T.R., Nowostawski, M.: Analysing the dynamics of norm evolution using interval type-2 fuzzy sets. In: WI-IAT 2014 Proceedings of the 2014 IEEE/WIC/ACM International Joint Conferences on Web Intelligence (WI) and Intelligent Agent Technologies (IAT), vol. 3, pp. 230–237 (2014)

    Google Scholar 

  5. Frantz, C.K., Purvis, M.K., Savarimuthu, B.T.R., Nowostawski, M.: Modelling dynamic normative understanding in agent societies. Scalable Comput.: Pract. Experience 16(4), 355–378 (2015)

    Google Scholar 

  6. Greenwald, A.G., Banaji, M.R., Rudman, L.A., Farnham, S.D., Nosek, B.A., Mellott, D.S.: A unified theory of implicit attitudes, stereotypes, self-esteem, and self-concept. Psychol. Rev. 109(1), 3–25 (2002)

    Article  Google Scholar 

  7. Hassan, S., Salgado, M., Pavón, J.: Friendship dynamics: modelling social relationships through a fuzzy agent-based simulation. Discrete Dyn. Nat. Soc. 2011, Article ID 765640, 19 p (2011)

    Google Scholar 

  8. Liu, F., Mendel, J.M.: Encoding words into interval Type-2 fuzzy sets using an interval approach. IEEE Trans. Fuzzy Syst. 16(6), 1503–1521 (2008)

    Article  Google Scholar 

  9. Long, Z., Yuanc, Y., Long, W.: Designing fuzzy controllers with variable universes of discourse using input-output data. Eng. Appl. Artif. Intell. 36, 215–221 (2014)

    Article  Google Scholar 

  10. Mendel, J., John, R., Liu, F.: Interval Type-2 fuzzy logic systems made simple. IEEE Trans. Fuzzy Syst. 14(6), 808–821 (2006)

    Article  Google Scholar 

  11. Morales, J., López-Sánchez, M., Rodriguez-Aguilar, J.A., Vasconcelos, W., Wooldridge, M.: Online automated synthesis of compact normative systems. ACM Trans. Auton. Adapt. Syst. 10(1), 2:1–2:33 (2015)

    Article  Google Scholar 

  12. North, D.C.: Institutions, Institutional Change, and Economic Performance. Cambridge University Press, New York (1990)

    Book  Google Scholar 

  13. Ören, T., Ghasem-Aghaee, N.: Personality representation processable in fuzzy logic for human behavior simulation. In: Proceedings of the 2003 Summer Computer Simulation Conference, Montreal, Canada, July 20–24, pp. 11–18. SCS, San Diego (2003)

    Google Scholar 

  14. Riveret, R., Artikis, A., Busquets, D., Pitt, J.: Self-governance by transfiguration: from learning to prescriptions. In: Cariani, F., Grossi, D., Meheus, J., Parent, X. (eds.) DEON 2014. LNCS, vol. 8554, pp. 177–191. Springer, Heidelberg (2014)

    Google Scholar 

  15. Simon, H.A.: A behavioral model of rational choice. Q. J. Econ. 69(1), 99–118 (1955)

    Article  Google Scholar 

  16. Zadeh, L.A.: Fuzzy sets. Inf. Control 8(3), 338–353 (1965)

    Article  MathSciNet  MATH  Google Scholar 

  17. Zadeh, L.A.: The concept of a linguistic variable and its application to approximate reasoning - I. Inf. Sci. 8(3), 199–249 (1975)

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to Christopher K. Frantz .

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Frantz, C.K., Savarimuthu, B.T.R., Purvis, M.K., Nowostawski, M. (2016). Generalising Social Structure Using Interval Type-2 Fuzzy Sets. In: Baldoni, M., Chopra, A., Son, T., Hirayama, K., Torroni, P. (eds) PRIMA 2016: Principles and Practice of Multi-Agent Systems. PRIMA 2016. Lecture Notes in Computer Science(), vol 9862. Springer, Cham. https://doi.org/10.1007/978-3-319-44832-9_22

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  • DOI: https://doi.org/10.1007/978-3-319-44832-9_22

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  • Publisher Name: Springer, Cham

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  • Online ISBN: 978-3-319-44832-9

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