Skip to main content

Simple Additive Weighting and Weighted Product Methods Using Spherical Fuzzy Sets

Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ,volume 392)

Abstract

Scoring methods are the most frequently used multi attribute decision-making methods because of their easiness and effectiveness. In this chapter, Simple Additive Weighting (SAW) and Weighted Product Methods (WPM) are extended to their fuzzy versions by using recently developed fuzzy extension which is entitled spherical fuzzy sets. These sets not only overcome the vagueness but also clarify hesitancy of decision makers’ judgments. This also presents larger preference domain to decision makers. In this chapter, we apply single-valued and interval-valued spherical SAW and WPM methods for the selection of insurance options.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • DOI: 10.1007/978-3-030-45461-6_10
  • Chapter length: 18 pages
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
eBook
USD   89.00
Price excludes VAT (USA)
  • ISBN: 978-3-030-45461-6
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD   119.99
Price excludes VAT (USA)
Hardcover Book
USD   169.99
Price excludes VAT (USA)

References

  • Ashraf S, Abdullah S, Mahmood T, Ghani F, Mahmood T (2019) Spherical fuzzy sets and their applications in multi-attribute decision making problems. J Intell Fuzzy Syst 36(3):2829–2844

    CrossRef  Google Scholar 

  • Boltürk E, Karaşan A, Kahraman C (2019) Simple additive weighting and weighted product methods using neutrosophic sets. In Fuzzy multi-criteria decision-making using neutrosophic sets. Springer, Cham, pp 647–676

    Google Scholar 

  • Chen CB, Klein CM (1997) An efficient approach to solving fuzzy MADM problems. Fuzzy Sets Syst 88(1):51–67

    MathSciNet  CrossRef  Google Scholar 

  • Chen SJ, Hwang CL (1992) Fuzzy multiple attribute decision making methods. In Fuzzy Multiple Attribute Decision Making. Springer, Berlin, Heidelberg

    Google Scholar 

  • Chen T (2014) An interactive signed distance approach for multiple criteria group decision-making based on simple additive weighting method with incomplete preference information defined by interval type-2 fuzzy sets. Int J Inf Technol Decis Mak 13(5):979–1012

    CrossRef  Google Scholar 

  • Jin H, Ashraf S, Abdullah S, Qiyas M, Bano M, Zeng S (2019) Linguistic spherical fuzzy aggregation operators and their applications in multi-attribute decision making problems. Mathematics 7(5):413

    CrossRef  Google Scholar 

  • Kahraman C, Gundogdu FK, Onar SC, Oztaysi B (2019, August) Hospital location selection using spherical fuzzy TOPSIS. In: 2019 conference of the international fuzzy systems association and the European society for fuzzy logic and technology (EUSFLAT 2019). Atlantis Press

    Google Scholar 

  • Kahraman C, Öztayşi B, Çevik Onar S (2016) A comprehensive literature review of 50 years of fuzzy set theory. Int J Comput Intell Syst 9(sup1):3–24

    CrossRef  Google Scholar 

  • Kaur P, Kumar S (2013) An intuitionistic fuzzy simple additive weighting (IFSAW) method for selection of vendor. IOSR J Bus Manag 15(2):78–81

    CrossRef  Google Scholar 

  • Kutlu Gündoğdu F (2019) Principals of spherical fuzzy sets. In: International conference on intelligent and fuzzy systems. Springer, Cham, pp 15–23

    Google Scholar 

  • Kutlu Gündoğdu F, Kahraman C (2019a) Spherical fuzzy sets and spherical fuzzy TOPSIS method. J Intell Fuzzy Syst 36(1):337–352

    CrossRef  Google Scholar 

  • Kutlu Gündoğdu F, Kahraman C (2019b) A novel fuzzy TOPSIS method using emerging interval-valued spherical fuzzy sets. Eng Appl Artif Intell 85:307–323

    CrossRef  Google Scholar 

  • Kutlu Gündoğdu F, Kahraman C (2019c) Extension of CODAS with spherical fuzzy sets. J Mult-Valued Log Soft Comput 33:481–505

    Google Scholar 

  • Kutlu Gündoğdu F, Kahraman C (2019d) A novel VIKOR method using spherical fuzzy sets and its application to warehouse site selection. J Intell Fuzzy Syst 37(1):1197–1211

    CrossRef  Google Scholar 

  • Kutlu Gündoğdu F, Kahraman C (2020) A novel spherical fuzzy QFD method and its application to the linear delta robot technology development. Eng Appl Artif Intell 87:103348

    CrossRef  Google Scholar 

  • Liu P, Zhu B, Wang P, Shen M (2020) An approach based on linguistic spherical fuzzy sets for public evaluation of shared bicycles in China. Eng Appl Artif Intell 87:103295

    CrossRef  Google Scholar 

  • Triantaphyllou E, Lin CT (1996) Development and evaluation of five fuzzy multiattribute decision-making method. Int J Approximate Reasoning 14(4):281–310

    CrossRef  Google Scholar 

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

    CrossRef  Google Scholar 

  • Zavadskas EK, Antucheviciene J, Hajiagha SHR, Hashemi SS (2014) Extension of weighted aggregated sum product assessment with interval-valued intuitionistic fuzzy numbers (WASPAS-IVIF). Appl Soft Comput 24:1013–1021

    CrossRef  Google Scholar 

  • Zhang Z (2017) Hesitant fuzzy multi-criteria group decision making with unknown weight information. Int J Fuzzy Syst 19(3):615–636

    MathSciNet  CrossRef  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Fatma Kutlu Gündoğdu .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 2021 Springer Nature Switzerland AG

About this chapter

Verify currency and authenticity via CrossMark

Cite this chapter

Kutlu Gündoğdu, F., Yörükoğlu, M. (2021). Simple Additive Weighting and Weighted Product Methods Using Spherical Fuzzy Sets. In: Kahraman, C., Kutlu Gündoğdu, F. (eds) Decision Making with Spherical Fuzzy Sets. Studies in Fuzziness and Soft Computing, vol 392. Springer, Cham. https://doi.org/10.1007/978-3-030-45461-6_10

Download citation