Skip to main content
Log in

Anteriority index for managing fuzzy dates in archæological GIS

  • Original Paper
  • Published:
Soft Computing Aims and scope Submit manuscript

Abstract

During the exploitation of an archæological geographical information system, experts need to evaluate the anteriority in pairs of dates which are uncertain and inaccurate, and consequently represented by fuzzy numbers. To build their hypotheses, they need to have an assessment, taking value in [0, 1], of the relation “lower than” between two FNs. We answer the experts’ need of evaluation by constructing an anteriority index based on the Kerre index. Two applications, which constitute a step in the evaluation of the evolution of Reims during the domination of the Roman Empire, illustrate the use of the anteriority index.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  • Adamo JM (1985) Fuzzy decision trees. Fuzzy Sets Syst 4:207–219

    Article  MathSciNet  Google Scholar 

  • Altman D (1994) Fuzzy set theoretic approaches for handling imprecision in spatial analysis. Int J Geogr Inf Syst 8 3:271–290

    Article  Google Scholar 

  • Bortolan G, Degani R (1985) A review of some methods for ranking fuzzy subsets. Fuzzy Sets Syst 15:1–19

    Article  MATH  MathSciNet  Google Scholar 

  • Burrough PA, McDonnell RA (1998) Principle of geographical information systems. Oxford University Press, New York

  • Chang W (1981) Ranking of fuzzy utilities with triangular membership functions. In: Proceedings of international conference in policy analysis and system, pp 263–272

  • Chen S (1985) Ranking fuzzy numbers with maximizing set and minimizing set. Fuzzy Sets Syst 17:113–129

    Article  MATH  Google Scholar 

  • Conolly J, Lake M (2006) Geographic information system in archaeology. Cambridge University Press, London

  • de Runz C, Desjardin E, Piantoni F, Herbin M (2007a) Management of multi-modal data using the fuzzy hough transform: application to archaeological simulation. In: Ouarzazate M, Rolland C, Pastor O, Cavarero J-L (eds) First international conference on research challenges in information science, pp 351–356

  • de Runz C, Desjardin E, Piantoni F, Herbin M (2007b) Using fuzzy logic to manage uncertain multi-modal data in an archaeological gis. In: Proceedings of the international symposium on spatial data quality, Pays-Bas, Enschede

  • Delgado M, Verdegay JL, Villa MA (1988) A procedure for ranking fuzzy numbers. Fuzzy Sets Syst 26:49–62

    Article  MATH  Google Scholar 

  • Detyniecki M, Yager RR (2001) Ranking fuzzy numbers using α-weighted valuations. Int J Uncertain Fuzziness Knowl Based Syst 8(5):563–593

    MathSciNet  Google Scholar 

  • Dixon B (2005) Groundwater vulnerability mapping: a gis and fuzzy rule based integrated tool. Appl Geogr 20:1–21

    Google Scholar 

  • Dubois D, Prade H (1983) Ranking fuzzy numbers in the setting of possibility theory. Inf Sci 30:183–224

    Article  MATH  MathSciNet  Google Scholar 

  • Facchinetti G, Pacchiarotti N (2005) Evaluations of fuzzy quantities. Fuzzy Sets Syst 157:892–903

    Article  MathSciNet  Google Scholar 

  • Fortemps P, Roubens M (1996) Ranking fuzzy sets: a decision theoretic approach. Fuzzy Sets Syst 82:319–330

    Article  MATH  MathSciNet  Google Scholar 

  • Jain R (1977) A procedure for multiple-aspect decision making using fuzzy set. Int J Syst Sci 8:1–7

    Article  MATH  Google Scholar 

  • Kerre E (1982) The use of fuzzy set theory in electrocardiological diagnostics. In: Gupta M, Sanchez E (eds) Approximate reasoning in decision-analysis, pp 277–282

  • Kim K, Park KS (1990) Ranking fuzzy numbers with index of optimism. Fuzzy Sets Syst 35:143–150

    Article  Google Scholar 

  • Mitra B, Scott HD, McKimmey JM (1998) Application of fuzzy logic to the prediction of soil erosion in a large watersheld. Geoderma 86:183–209

    Article  Google Scholar 

  • Ramik J, Rimanek J (1985) Inequality relation between fuzzy numbers and its use in fuzzy optimization. Fuzzy Sets Syst 16:123–138

    Article  MATH  MathSciNet  Google Scholar 

  • Saade JJ, Schwarzlander H (1992) Ordering fuzzy sets over real line: an approach based on decision making under uncertainty. Fuzzy Sets Syst 50:237–246

    Article  MathSciNet  Google Scholar 

  • Wang X, Kerre E (2001a) Reasonable properties for the ordering fuzzy quantities (i). Fuzzy Sets Syst 118:375–385

    Article  MATH  MathSciNet  Google Scholar 

  • Wang X, Kerre E (2001b) Reasonable properties for the ordering fuzzy quantities (ii). Fuzzy Sets Syst 118:387–405

    Article  MATH  MathSciNet  Google Scholar 

  • Yager RR, Detyniecki M, Bouchon-Meunier B (2001) A context-dependent method for ordering fuzzy numbers using probabilities. Inf Sci 138:237–255

    Article  MATH  MathSciNet  Google Scholar 

  • Zadeh LA (1965) Fuzzy sets. Inf Control 8:338–353

    Article  MATH  MathSciNet  Google Scholar 

Download references

Acknowledgments

The authors would like to thank the Champagne-Ardenne Regional Service in Archæology and the National Institute of Research in Preventive Archæology in Reims for their data as well as expert knowledge, and Dominique Pargny (GEGENA laboratory at the University of Reims Champagne Ardenne) for his contribution to the SIGRem project.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Cyril de Runz.

Rights and permissions

Reprints and permissions

About this article

Cite this article

de Runz, C., Desjardin, E., Piantoni, F. et al. Anteriority index for managing fuzzy dates in archæological GIS. Soft Comput 14, 339–344 (2010). https://doi.org/10.1007/s00500-009-0408-2

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00500-009-0408-2

Keywords

Navigation