Skip to main content
SpringerLink
Log in

Analytical Hierarchy Process (AHP) in Fuzzy Environment

  • Chapter
  • First Online:
Fuzzy Decision Analysis: Multi Attribute Decision Making Approach

Part of the book series: Studies in Computational Intelligence ((SCI,volume 1121))

  • 128 Accesses

Abstract

This chapter provides an overview of hierarchical decision structures, focusing on the AHP and ANP methods. It explains how these structures break down complex problems and organize criteria, sub-criteria, and alternatives in a hierarchical manner. The Analytic Hierarchy Process (AHP) is explored in detail, including its step-by-step implementation process and practical examples. The chapter then introduces the Analytic Network Process (ANP), which extends AHP to decision problems with interdependencies and feedback loops. The construction of networks, calculation of priority weights, and interpretation of results within the ANP framework are discussed. Finally, Fuzzy AHP is introduced as a method that addresses the limitations of AHP by incorporating fuzzy sets theory, supported by real-world case studies. Fuzzy AHP allows decision-makers to express preferences in a flexible and nuanced manner, capturing uncertainties and ambiguity present in real-world scenarios. Its advantage lies in handling vague and imprecise information systematically, enabling the effective incorporation of subjective assessments and expert opinions

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 139.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 179.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Allahviranloo, T., Lotfi, F. H., Kiasari, M. K., & Khezerloo, M. (2013). On the fuzzy solution of LR fuzzy linear systems. Applied Mathematical Modelling, 37(3), 1170–1176. https://doi.org/10.1016/j.apm.2012.03.037

  2. Chang, D. Y. (1996). Applications of the extent analysis method on fuzzy AHP. European journal of operational research, 95(3), 649–655.

    Article  MATH  Google Scholar 

  3. Junior, F. R., Lima, L. O., & Carpinetti, L. C. R. (2014). A comparison between Fuzzy AHP and Fuzzy TOPSIS methods to supplier selection. Applied soft computing, 21, 194–209.

    Article  Google Scholar 

  4. Kahraman, C., Cebeci, U., & Ulukan, Z. (2003). Multi criteria supplier selection using fuzzy AHP. Logistics information management, 16(6), 382–394.

    Article  Google Scholar 

  5. Liu, F. H. F., & Hai, H. L. (2005). The voting analytic hierarchy process method for selecting supplier. International journal of production economics, 97(3), 308–317.

    Article  Google Scholar 

  6. Liu, Y., Eckert, C. M., & Earl, C. (2020). A review of fuzzy AHP methods for decision-making with subjective judgments. Expert Systems with Applications, 161, 113738.

    Article  Google Scholar 

  7. Liu, F., Peng, Y., Zhang, W., & Pedrycz, W. (2017). On consistency in AHP and fuzzy AHP. Journal of Systems Science and Information, 5(2), 128–147.

    Article  Google Scholar 

  8. Lotfi, F. H., Allahviranloo, T., Jondabeh, M. A., & Alizadeh, L. (2009). Solving a full fuzzy linear programming using lexicography method and fuzzy approximate solution. Applied mathematical modelling, 33(7), 3151–3156. https://doi.org/10.1016/j.apm.2008.10.020

  9. Moayeri, M., Shahvarani, A., Behzadi, M. H., & Hosseinzadeh-Lotfi, F. (2015). Comparison of fuzzy AHP and fuzzy TOPSIS methods for math teachers selection. Indian Journal of Science and Technology, 8(13), 1.

    Article  Google Scholar 

  10. Mohanty, R. P., Agarwal, R., Choudhury, A. K., & Tiwari, M. K. (2005). A fuzzy ANP-based approach to R&D project selection: A case study. International Journal of Production Research, 43(24), 5199–5216.

    Article  MATH  Google Scholar 

  11. Pedrycz, W., & Song, M. (2014). A granulation of linguistic information in AHP decision-making problems. Information Fusion, 17, 93–101.

    Article  Google Scholar 

  12. Pedrycz, W., & Song, M. (2011). Analytic hierarchy process (AHP) in group decision making and its optimization with an allocation of information granularity. IEEE Transactions on Fuzzy Systems, 19(3), 527–539.

    Article  Google Scholar 

  13. Pishchulov, G., Trautrims, A., Chesney, T., Gold, S., & Schwab, L. (2019). The voting analytic hierarchy process revisited: A revised method with application to sustainable supplier selection. International Journal of Production Economics, 211, 166–179.

    Article  Google Scholar 

  14. Saaty, T. L. (1980). The Analytic Hierarchy Process, RWS Publications

    Google Scholar 

  15. Saaty, T. L. (1996). Multicriteria decision making: The analytic hierarchy process. RWS Publ

    Google Scholar 

  16. Sharafi, H., Soltanifar, M., & Lotfi, F. H. (2022). Selecting a green supplier utilizing the new fuzzy voting model and the fuzzy combinative distance-based assessment method. EURO Journal on Decision Processes, 10, 100010.

    Article  Google Scholar 

  17. Shariatmadari Serkani, E., Hosseinzadeh Lotfi, F., Najafi, E., & Ahadzadeh Namin, M. (2022). Efficiency measurement for hierarchical network systems using network DEA and intuitionistic fuzzy ANP. Scientia Iranica, 29(4), 2252–2269.

    Google Scholar 

  18. Shirouyehzad, H., Lotfi, F. H., Arabzad, S. M., & Dabestani, R. (2013). An AHP/DEA ranking method based on service quality approach: A case study in hotel industry. International Journal of Productivity and Quality Management, 11(4), 434–445.

    Article  Google Scholar 

  19. Soltanifar, M. (2021). The voting linear assignment method for determining priority and weights in solving MADM problems. Journal of applied research on industrial engineering, 8(Special Issue), 1–17

    Google Scholar 

  20. Soltanifar, M., & Lotfi, F. H. (2011). The voting analytic hierarchy process method for discriminating among efficient decision making units in data envelopment analysis. Computers & Industrial Engineering, 60(4), 585–592.

    Article  Google Scholar 

  21. Soltanifar, M., Sharafi, H., Hosseinzadeh Lotfi, F., Pedrycz, W., & Allahviranloo, T. (2023). Hybrid Multi-attribute Decision-Making Methods Based on Preferential Voting. Preferential voting and applications: approaches based on data envelopment analysis (pp. 133–164). Springer International Publishing.

    MATH  Google Scholar 

  22. Tavana, M., Soltanifar, M., & Santos-Arteaga, F. J. (2021). Analytical hierarchy process: revolution and evolution. Annals of Operations Research, 1–29

    Google Scholar 

  23. Wang, Y. M., Luo, Y., & Hua, Z. (2008). On the extent analysis method for fuzzy AHP and its applications. European journal of operational research, 186(2), 735–747.

    Article  MATH  Google Scholar 

  24. Zhang, B., Pedrycz, W., Fayek, A. R., & Dong, Y. (2022). A differential evolution-based consistency improvement method in AHP with an optimal allocation of information granularity. IEEE Transactions on Cybernetics, 52(7), 6733–6744. https://doi.org/10.1109/TCYB.2020.3035909

Download references

Acknowledgement

A special thanks to the Iranian DEA society for their unwavering spiritual support and consensus in the writing of this book. Your invaluable support has been truly remarkable, and we are deeply grateful for the opportunity to collaborate with such esteemed professionals.

Author information

Authors and Affiliations

  1. Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

    Farhad Hosseinzadeh Lotfi, Hamid Sharafi & Somayeh Razipour GhalehJough

  2. Faculty of Engineering & Natural Sciences, Istinye University, Istanbul, Turkey

    Tofigh Allahviranloo

  3. Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada

    Witold Pedrycz

  4. Department of Industrial Management, South Tehran Branch, Islamic Azad University, Tehran, Iran

    Mohammadreza Shahriari

Authors
  1. Farhad Hosseinzadeh Lotfi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Tofigh Allahviranloo
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Witold Pedrycz
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Mohammadreza Shahriari
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Hamid Sharafi
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Somayeh Razipour GhalehJough
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Farhad Hosseinzadeh Lotfi .

Rights and permissions

Reprints and permissions

Copyright information

© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Hosseinzadeh Lotfi, F., Allahviranloo, T., Pedrycz, W., Shahriari, M., Sharafi, H., Razipour GhalehJough, S. (2023). Analytical Hierarchy Process (AHP) in Fuzzy Environment. In: Fuzzy Decision Analysis: Multi Attribute Decision Making Approach. Studies in Computational Intelligence, vol 1121. Springer, Cham. https://doi.org/10.1007/978-3-031-44742-6_8

Download citation

Publish with us

Policies and ethics

Search

Navigation