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A Multi Criteria Group Decision Making Process Based on the Soft Fusion of Coherent Evaluations of Spatial alternatives

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Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 317))

Abstract

In this chapter, a soft fusion approach of a set of aligned registered images is described, in which each image represents a distinct theme of the same territory. The objective of the fusion is to evaluate the spatial units of the territory, pixels or cells, by a group of experts through associating to the spatial units scores representing their suitability as best locations with respect to given criteria expressed by soft constraints. The decision process first determines automatically the coherence among a majority of experts’ evaluations with respect to each given criterion and then computes the coherent evaluation of the criterion representing the majority opinion. Finally, it computes the overall coherent evaluation with respect to a majority of the criteria that is used to rank the spatial units. The fuzzy majority is defined by linguistic quantifiers; the coherence among a fuzzy majority of experts is defined based on the Minkowski OWA operators while the fuzzy majority of coherent evaluations is modeled by an Induced OWA operator.

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References

  1. Dujmović J.J., De Tré G., Van de Weghe N.: LSP suitability maps. Soft Comput. 14, 421–434 (2010)

    Google Scholar 

  2. Robinson, P.B.: A perspective on the fundamentals of fuzzy sets and their use in geographic information systems. Trans. GIS 7(um1), 3–30 (2003)

    Article  Google Scholar 

  3. Yager, R.R.: On ordered weighted averaging aggregation operators in multi-criteria decision making. IEEE Trans. Syst. Man Cybern. 18, 183–190 (1988)

    Google Scholar 

  4. Yager, R.R.: A framework for multi-source data fusion. Inf. Sci. 163, 175–200 (2004)

    Article  MathSciNet  Google Scholar 

  5. Boroushaki, S., Maczewski, J.: Using the fuzzy majority approach for GIS-based multicriteria group decision-making. Comput. Geosci. 36, 302–312 (2010)

    Article  Google Scholar 

  6. Pasi, G., Yager, R.: Modeling the concept of majority opinion in group decision making. Inf. Sci. 176, 390–414 (2008)

    Article  MathSciNet  Google Scholar 

  7. Bezdek, J., Spillman, B., Spillman, R.: A fuzzy relation space for group decision theory. Fuzzy Sets Syst. 1, 255–268 (1978)

    Article  MATH  MathSciNet  Google Scholar 

  8. Herrera, F., Herrera-Viedma E.: Linguistic decision analysis: Steps for solving decision problems under linguistic information. Fuzzy Sets Syst. 115(1), 67–82 (2000)

    Google Scholar 

  9. Herrera, F., Herrera-Viedma, E., Martnez, L.: A fusion approach for managing multi-granularity linguistic terms sets in decision making. Fuzzy Sets Syst. 114(1), 43–58 (2000)

    Google Scholar 

  10. Kacprzyk, J., Roubens, M. (eds.): Non conventional Preference Relations in Decision Making, Springer, Berlin (1988)

    Google Scholar 

  11. Kacprzyk, J., Fedrizzi, M., Nurmi, H.: Group decision making and consensus under fuzzy preferences and fuzzy majority. Fuzzy Sets Syst. 49, 21–31 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  12. Merigo, J.M., Gil-Lafuente, A.M.: Using OWA operator in the Minkowski distance. Int. J. Soc. Hum. Sci. 2, 564–572 (2008)

    Google Scholar 

  13. Kacprzyk, J.: Group decision making with a fuzzy linguistic majority. Fuzzy Sets Syst. 18, 105–118 (1986)

    Article  MATH  MathSciNet  Google Scholar 

  14. Zadeh, L.A.: A computational approach to fuzzy quantifiers in natural languages. Comput. Math. Appl. 9, 149–184 (1983)

    Article  MATH  MathSciNet  Google Scholar 

  15. Yager, R.R.: Interpreting linguistically quantified propositions. Int. J. Intell. Syst. 9, 541–569 (1994)

    Article  MATH  Google Scholar 

  16. Yager, R.R.: Quantifier guided aggregation using OWA operators. Int. J. Intell. Syst. 11, 49–73 (1996)

    Article  Google Scholar 

  17. Bordogna, G., Boschetti M., Brivio A., Carrara P., Pagani M., Stroppiana D.: Fusion strategies based on the OWA operator in environmental applications, in recent developments in the ordered weighted averaging operators: theory and practice. In: Yager, R. and Kacprzyk, J. Beliakov, G. (eds.), Studies in Fuzziness and Soft Computing, vol. 265/2011, pp. 189–207. Springer, Berlin (2011)

    Google Scholar 

  18. Dujmović J.J., Larsen H.L.: Generalized conjunction/disjunction. Int. J. Approximate Reasoning 46(3), 423–446 (2007)

    Google Scholar 

  19. Dubois, D., Prade, H.: Combination of Fuzzy Information in the Framework of Possibility Theory. In: M.A. Abidi, R.C. Gonzalez (eds.), pp. 481–505. Academic Press, New York (1992)

    Google Scholar 

  20. Yager, R.R.: Nonmonotonic set theoretic operations. Fuzzy Sets Syst. 42, 173–190 (1991)

    Article  MATH  MathSciNet  Google Scholar 

  21. Dujmović J.J.: Preference logic for system evaluation. IEEE Trans. Fuzzy Syst. 15(6), 1082–1099 (2007)

    Google Scholar 

  22. Dujmović J.J., Scheer D.: Logic aggregation of suitability maps. In: Proceedings of the IEEE World Congress on Computational Intelligence, Barcelona, Spain, pp. 2222–2229 (2010)

    Google Scholar 

  23. Bone, C., Dragicevic, S., Roberts, A.: Integrating high resolution remote sensing, GIS and fuzzy set theory for identifying susceptibility areas of forest insect infestations. Int. J. Remote Sens. 26(21), 4809–4828 (2005)

    Google Scholar 

  24. Bordogna, G., Fedrizzi M., Pasi G.: A linguistic modeling of consensus in group decision making based on OWA operators. IEEE Trans. Syst. Man Cybern. A 27(1), 126–133 (1997)

    Google Scholar 

  25. Fedrizzi, M., Kacprzyk, J., Zandrozny, S.: An interactive multi user decision support system for consensus reaching processes using fuzzy logic with linguistic quantifiers. Decis. Support Syst. 4, 313–327 (1988)

    Article  Google Scholar 

  26. Tran, L.T., Knight, C.G., O’Neill, R.V., Smith, E.R., Riitters, K.H., Wickham, J.: Environmental assessment, fuzzy decision analysis of integrated environmental vulnerability assessment of the Mid-Atlantic region. Environ. Monit. 29(6), 845–859 (2002)

    Google Scholar 

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Correspondence to Gloria Bordogna .

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Bordogna, G., Sterlacchini, S. (2014). A Multi Criteria Group Decision Making Process Based on the Soft Fusion of Coherent Evaluations of Spatial alternatives. In: Zadeh, L., Abbasov, A., Yager, R., Shahbazova, S., Reformat, M. (eds) Recent Developments and New Directions in Soft Computing. Studies in Fuzziness and Soft Computing, vol 317. Springer, Cham. https://doi.org/10.1007/978-3-319-06323-2_5

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  • DOI: https://doi.org/10.1007/978-3-319-06323-2_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-06322-5

  • Online ISBN: 978-3-319-06323-2

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