Skip to main content
SpringerLink
Log in

Analysis of Consistency of Pairwise Comparison Matrix with Fuzzy Type-2 Elements

  • Conference paper
  • First Online:
11th International Conference on Theory and Application of Soft Computing, Computing with Words and Perceptions and Artificial Intelligence - ICSCCW-2021 (ICSCCW 2021)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 362))

Abstract

The consistency is used in the estimation of preference knowledge quality. Preference densities’ rationality of compared elements are kept by the consistency conditions set. In this paper, consistency analysis is represented for construction of consistent pairwise comparison matrices from inconsistent one and the consistent matrix with minimum distance to inconsistent matrix has been selected from the options. The elements of matrix are presented by fuzzy type-2 numbers. In pairwise matrix three criteria of Information Systems (IS) Project have been selected: contribution of profitability, availability of skilled personnel, information processing efficiency.

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

Access this chapter

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Similar content being viewed by others

References

  1. Brunelli, M.: A survey of inconsistency indices for pairwise comparisons. Int. J. Gen. Syst. 47(8), 751–771 (2018). https://doi.org/10.1080/03081079.2018.1523156

    MathSciNet  Google Scholar 

  2. Aliev, R.A., Guirimov, B.G., Huseynov, O.H., Aliyev, R.R.: A consistency-driven approach to construction of Z-number-valued pairwise comparison matrices. Iran J. Fuzzy Syst. 18(4), 37–49 (2021)

    MathSciNet  Google Scholar 

  3. Lin, L.Z., Yeh, H.R.: A perceptual measure of mobile advertising using fuzzy linguistic preference relation. Iran J. Fuzzy Syst. 10(5), 25–46 (2013)

    MathSciNet  Google Scholar 

  4. Saaty, T.L.: A scaling method for priorities in hierarchical structures. J. Math. Psychol. 15(3), 234–281 (1977). https://doi.org/10.1016/0022-2496(77)90033-5

    MathSciNet  MATH  Google Scholar 

  5. Cavallo, B., D’Apuzzo, L.: A general unified framework for pairwise comparison matrices in multicriterial methods. Int. J. Intell. Syst. 24(4), 377–398 (2009). https://doi.org/10.1002/int.20329

    MATH  Google Scholar 

  6. Kou, G., Lin, C.: A cosine maximization method for the priority vector derivation in AHP. Eur. J. Oper. Res. 235(1), 225–232 (2014). https://doi.org/10.1016/j.ejor.2013.10.019

    MathSciNet  MATH  Google Scholar 

  7. Dovlatova, K.J.: Estimation of consumer buying behavior for brand choosing by using fuzzy IF-THEN rules. In: Aliev, R., Kacprzyk, J., Pedrycz, W., Jamshidi, M., Babanli, M., Sadikoglu, F. (eds.) 10th International Conference on Theory and Application of Soft Computing, Computing with Words and Perceptions - ICSCCW-2019. ICSCCW 2019. Advances in Intelligent Systems and Computing, vol. 1095, pp. 805–812. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-35249-3_106

  8. Zadeh, L.A.: The concept of a linguistic variable and its application to approximate reasoning—I. Inf. Sci. 8(3), 199–249 (1975). https://doi.org/10.1016/0020-0255(75)90036-5

    MathSciNet  MATH  Google Scholar 

  9. Wang, Y.-M., Yang, J.-B., Xu, D.-L., Chin, K.-S.: On the centroids of fuzzy numbers. Fuzzy Sets Syst. 157(7), 919–926 (2006). https://doi.org/10.1016/j.fss.2005.11.006

    MathSciNet  MATH  Google Scholar 

  10. Celemin, C.E., Melgarejo, M.A.: A proposal to speed up the computation of the centroid of an interval Type-2 fuzzy set. Adv. Fuzzy Syst. 2013, 1–17 (2013). https://doi.org/10.1155/2013/158969

    MathSciNet  MATH  Google Scholar 

  11. Aliev, R.A., Gardashova, L.A.: Z-set based Approach to control system design. In: 14th International Conference on Theory and Application of Fuzzy Systems and Soft Computing, ICAFS-2020. Advances in Intelligent Systems and Computing, vol. 1306, pp. 10–21 (2020). https://doi.org/10.1007/978-3-030-64058-3_2

Download references

Author information

Authors and Affiliations

  1. Azerbaijan State Oil and Industry University, BA Programs, 20 Azadlig Avenue, AZ1010, Baku, Azerbaijan

    Aygul Dadasheva

Authors
  1. Aygul Dadasheva
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Aygul Dadasheva .

Editor information

Editors and Affiliations

  1. Department of Control Systems, Azerbaijan State Oil and Industry University, Baku, Azerbaijan

    Rafik A. Aliev

  2. System Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

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

    Witold Pedrycz

  4. Department of Electrical and Computer Engineering, University of Texas at San Antonio, San Antonio, TX, USA

    Mo Jamshidi

  5. Azerbaijan State Oil and Industry University, Baku, Azerbaijan

    Mustafa Babanli

  6. Department of Mechatronics, Near East University, North Cyprus, Turkey

    Fahreddin M. Sadikoglu

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Dadasheva, A. (2022). Analysis of Consistency of Pairwise Comparison Matrix with Fuzzy Type-2 Elements. In: Aliev, R.A., Kacprzyk, J., Pedrycz, W., Jamshidi, M., Babanli, M., Sadikoglu, F.M. (eds) 11th International Conference on Theory and Application of Soft Computing, Computing with Words and Perceptions and Artificial Intelligence - ICSCCW-2021. ICSCCW 2021. Lecture Notes in Networks and Systems, vol 362. Springer, Cham. https://doi.org/10.1007/978-3-030-92127-9_45

Download citation

Publish with us

Policies and ethics

Search

Navigation