Author: Jan Caha, Aneta Drážná

# Information about FuzzyAHP package for R (ver. 0.9.5)

#### Jan Caha, Aneta Drážná

#### 2019-12-06 17:19:21

## Basic Info

FuzzyAHP is an R package for calculation of both classic and fuzzy AHP. The package is only suitable for AHP that uses categorical rating of criteria for alternatives instead of pairwise comparison of alternatives according to each criteria. This adaptation of AHP is common in situations when the number of alternatives is hight and the pairwise comparison is thus inadequate or impossible to construct. The weights for criteria are, however, still determined from the pairwise comparison matrix. This approach towards AHP is common in Geosciences as well as other fields (please see References for examples). A practical example of using FuzzyAHP in geosciences can be found in Caha and Burian (2017).

The determination of criteria weights is done according to process described by Krejčí, Pavlačka, and Talašová (2016), which yelds significantly narrower fuzzy numbers than previously used approaches.

## Citation

To cite this package use:

    citation("FuzzyAHP")

    ##
    ## Caha J, Drážná A (2019). _Information about FuzzyAHP package for R (ver.0.9.5)_. R package version 0.9.5,
    ## <URL: http://github.com/JanCaha/FuzzyAHP/>.
    ##
    ## A BibTeX entry for LaTeX users is
    ##
    ##   @Manual{,
    ##     title = {Information about FuzzyAHP package for R (ver.0.9.5)},
    ##     author = {Jan Caha and Aneta Drážná},
    ##     year = {2019},
    ##     note = {R package version 0.9.5},
    ##     url = {http://github.com/JanCaha/FuzzyAHP/},
    ##   }

If you use this package in publication, please consider citing our article: Caha and Burian (2017)

    @InCollection{Caha2017,
      author        = {Caha, Jan and Burian, Jaroslav},
      title         = {{Comparison of Fuzzy AHP Algorithms for Land Suitability Assessment}},
      booktitle     = {Dynamics in GIscience. GIS OSTRAVA 2017. Lecture Notes in Geoinformation and Cartography},
      publisher     = {Springer},
      year          = {2017},
      editor        = {Ivan, Igor and Hor{\'{a}}k, Ji\v{r}{\'{i}} and Inspektor, Tom{\'{a}}{\v{s}}},
      pages         = {31--46},
      address       = {Cham},
      doi           = {10.1007/978-3-319-61297-3_3},
    }

## Source

The source code for this package is available from: https://github.com/JanCaha/FuzzyAHP.

## See also

R package ahp provides classical implementation of AHP based on pairwise comparison of both criteria and alternatives. The package is available from https://CRAN.R-project.org/package=ahp.

## References

Bathrellos, George D., Kalliopi Gaki-Papanastassiou, Hariklia D. Skilodimou, Dimitrios Papanastassiou, and Konstantinos G. Chousianitis. 2012. “Potential suitability for urban planning and industry development using natural hazard maps and geological-geomorphological parameters.” Environmental Earth Sciences 66 (2): 537–48. https://doi.org/10.1007/s12665-011-1263-x.

Boroushaki, Soheil, and Jacek Malczewski. 2008. “Implementing an extension of the analytical hierarchy process using ordered weighted averaging operators with fuzzy quantifiers in ArcGIS.” Computers and Geosciences 34 (4): 399–410. https://doi.org/10.1016/j.cageo.2007.04.003.

Caha, Jan, and Jaroslav Burian. 2017. “Comparison of Fuzzy AHP Algorithms for Land Suitability Assessment.” In Dynamics in Giscience. GIS Ostrava 2017. Lecture Notes in Geoinformation and Cartography, edited by Igor Ivan, Jiří Horák, and Tomáš Inspektor, 31–46. Cham: Springer. https://doi.org/10.1007/978-3-319-61297-3_3.

Chang, Da-Yong. 1996. “Applications of the extent analysis method on fuzzy AHP.” European Journal of Operational Research 95 (3): 649–55. https://doi.org/10.1016/0377-2217(95)00300-2.

Chen, Y, J Yu, and S Khan. 2010. “Spatial sensitivity analysis of multi-criteria weights in GIS-based land suitability evaluation.” Environmental Modelling & Software 25 (12): 1582–91. https://doi.org/10.1016/j.envsoft.2010.06.001.

Dai, F. C, C. F Lee, and X. H Zhang. 2001. “GIS-based geo-environmental evaluation for urban land-use planning: a case study.” Engineering Geology 61 (2001): 257–71. https://doi.org/10.1016/S0013-7952(01)00028-X.

Feizizadeh, Bakhtiar, and Thomas Blaschke. 2013. “GIS-multicriteria decision analysis for landslide susceptibility mapping: Comparing three methods for the Urmia lake basin, Iran.” Natural Hazards 65 (3): 2105–28. https://doi.org/10.1007/s11069-012-0463-3.

Gorsevski, Pece V., Katerina R. Donevska, Cvetko D. Mitrovski, and Joseph P. Frizado. 2012. “Integrating multi-criteria evaluation techniques with geographic information systems for landfill site selection: A case study using ordered weighted average.” Waste Management 32 (2): 287–96. https://doi.org/10.1016/j.wasman.2011.09.023.

Krejčí, Jana, Ondřej Pavlačka, and Jana Talašová. 2016. “A fuzzy extension of Analytic Hierarchy Process based on the constrained fuzzy arithmetic.” Fuzzy Optimization and Decision Making. https://doi.org/10.1007/s10700-016-9241-0.

Sinha, Nishant, Neena Priyanka, and P. K. Joshi. 2014. “Using Spatial Multi-Criteria Analysis and Ranking Tool (SMART) in earthquake risk assessment: a case study of Delhi region, India.” Geomatics, Natural Hazards and Risk 5705 (March): 1–22. https://doi.org/10.1080/19475705.2014.945100.

Wang, Guiqin, Li Qin, Guoxue Li, and Lijun Chen. 2009. “Landfill site selection using spatial information technologies and AHP: A case study in Beijing, China.” Journal of Environmental Management 90 (8): 2414–21. https://doi.org/10.1016/j.jenvman.2008.12.008.

Wang, X. D., X. H. Zhong, S. Z. Liu, J. G. Liu, Z. Y. Wang, and M. H. Li. 2008. “Regional assessment of environmental vulnerability in the Tibetan Plateau: Development and application of a new method.” Journal of Arid Environments 72 (10): 1929–39. https://doi.org/10.1016/j.jaridenv.2008.06.005.

Wang, Ying Ming, Ying Luo, and Zhongsheng Hua. 2008. “On the extent analysis method for fuzzy AHP and its applications.” European Journal of Operational Research 186 (2): 735–47. https://doi.org/10.1016/j.ejor.2007.01.050.