Skip to main content
SpringerLink
Log in

Hybrid group decision-making technique under spherical fuzzy N-soft expert sets

  • Published:
Artificial Intelligence Review Aims and scope Submit manuscript

Abstract

This paper presents the concept of a new hybrid model called spherical fuzzy N-soft expert sets, which is an extension of spherical fuzzy soft expert sets. The proposed model is highly suitable to describe the multinary data evaluation in terms of spherical fuzzy soft information considering multiple experts’ opinions. Some fundamental properties, including subset, weak complement, spherical fuzzy complement, spherical fuzzy weak complement, union, intersection, AND operation, and OR operation, are discussed. Our proposed concepts are explained with detailed examples. An efficient algorithm is developed to solve multi-attribute group decision-making (MAGDM) problems. Further, to guarantee the high applicability scope and flexibility of our initiated framework, two real-world MAGDM problems, that is, predicting local election results using survey ratings before the election and ranking credibility of the smartphones using customer feedback, are solved. Finally, to endorse the accuracy and advantages of the proposed technique, a comprehensive comparative analysis of the presented approach with existing models such as spherical fuzzy soft expert sets and N-soft sets is provided.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

Notes

  1. https://www.pewresearch.org/fact-tank/2020/10/15/.

  2. https://monkeylearn.com/sentiment-analysis/.

  3. https://nypost.com/2021/04/05/lg-to-stop-making-smartphones-after-years-of-losses/.

  4. https://medium.com/multiplier-magazine/why-did-nokia-fail-81110d981787.

  5. https://www.slideshare.net/joellecool/it651-project-report/14.

  6. https://monkeylearn.com/customer-feedback/.

References

  • Akram M, Ali G, Alcantud JCR (2019) New decision-making hybrid model: intuitionistic fuzzy \(N\)-soft rough sets. Soft Comput 23(20):9853–9868

    Article  Google Scholar 

  • Akram M, Ali G, Butt MA, Alcantud JCR (2021a) Novel MCGDM analysis under \(m\)-polar fuzzy soft expert sets. Neural Comput Appl 33(2021):12051–12071

  • Akram M, Kahraman C, Zahid K (2021b) Group decision-making based on complex spherical fuzzy VIKOR approach. Knowl Based Syst 216:106793

  • Akram M, Khan A, Alcantud JCR, Santos-García G (2021c) A hybrid decision-making framework under complex spherical fuzzy prioritized weighted aggregation operators. Expert Syst. https://doi.org/10.1111/exsy.12712

  • Akram M, Shabir M, Al-Kenani AN, Alcantud JCR (2021d) Hybrid decision-making frameworks under complex spherical fuzzy \(N\)-soft sets. J Math. https://doi.org/10.1155/2021/5563215

  • Akram M, Ali G, Alcantud JCR (2021e) Parameter reduction analysis under interval-valued \(m\)-polar fuzzy soft information. Artif Intell Rev 54:5541–5582

  • Akram M, Kahraman C, Zahid K (2021f) Extension of TOPSIS model to the decision-making under complex spherical fuzzy information. Soft Comput 25:10771–10795

  • Akram M, Khan A, Karaaslan F (2021g) Complex spherical Dombi fuzzy aggregation operators for decision-making. J Multiple Valued Logic Soft Comput 37:503–531

  • Alcantud JCR (2016) Some formal relationships among soft sets, fuzzy sets, and their extensions. Int J Approx Reason 68:45–53

    Article  MathSciNet  Google Scholar 

  • Alcantud JCR, Laruelle A (2014) Dis and approval voting: a characterization. Soc Choice Welf 43(1):1–10

    Article  MathSciNet  Google Scholar 

  • Ali G, Akram M (2020) Decision-making method based on fuzzy \(N\)-soft expert sets. Arab J Sci Eng 45:10381–10400

    Article  Google Scholar 

  • Ali MI, Feng F, Liu XY, Min WK, Shabir M (2009) On some new operations in soft set theory. Comput Math Appl 57(9):1547–1553

    Article  MathSciNet  Google Scholar 

  • Ali Z, Mahmood T, Yang MS (2020) TOPSIS method based on complex spherical fuzzy sets with Bonferroni mean operators. Mathematics 8(10):1739

    Article  Google Scholar 

  • Alkhazaleh S, Salleh AR (2011) Soft expert sets. Adv Decis Sci. https://doi.org/10.1155/2011/757868

    Article  MathSciNet  MATH  Google Scholar 

  • Alkhazaleh S, Salleh AR (2014) Fuzzy soft expert set and its application. Appl Math 5(09):1349–1368

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87–96

    Article  Google Scholar 

  • Atanassov KT (1999) Other extensions of intuitionistic fuzzy sets. In: Intuitionistic fuzzy sets, studies in fuzziness and soft computing, vol 35. Physica, Heidelberg, pp 190–194. https://doi.org/10.1007/978-3-7908-1870-3_3

  • Atanassov KT, Gargov G (1989) Interval valued intuitionistic fuzzy sets. Fuzzy Sets Syst 31:343–349

    Article  MathSciNet  Google Scholar 

  • Aydogdu A, Gül S (2020) A novel entropy proposition for spherical fuzzy sets and its application in multiple attribute decision-making. Int J Intell Syst 35(9):1354–1374

    Article  Google Scholar 

  • Bashir M, Salleh AR (2012a) Fuzzy parameterized soft expert set. Abstr Appl Anal. https://doi.org/10.1155/2012/258361

  • Bashir M, Salleh AR (2012b) Possibility fuzzy soft expert set. Open J Appl Sci 12:208–211

  • Chin CY, Wang CL (2021) A new insight into combining forecasts for elections: the role of social media. J Forecast 40(1):132–143

    Article  MathSciNet  Google Scholar 

  • Cuong BC (2013a) Picture fuzzy sets-first results, part 1, seminar neuro-fuzzy systems with applications. Tech. rep., Institute of Mathematics, Hanoi

  • Cuong BC (2013b) Picture fuzzy sets-first results, part 2, seminar neuro-fuzzy systems with applications, Tech. rep., Institute of Mathematics, Hanoi

  • Cuong BC, Kreinovich V (2014) Picture fuzzy sets. J Comput Sci Cybern 30(4):409–420

    Google Scholar 

  • Fatimah F, Alcantud JCR (2021) The multi-fuzzy N-soft set and its applications to decision-making. Neural Comput Appl 33:11437–11446

    Article  Google Scholar 

  • Fatimah F, Rosadi D, Hakim RBF, Alcantud JCR (2018) \(N\)-soft sets and their decision making algorithms. Soft Comput 22(12):3829–3842

    Article  Google Scholar 

  • Gündogdu FK (2020) A spherical fuzzy extension of MULTIMOORA method. J Intell Fuzzy Syst 38(1):963–978

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Gündogdu FK, Kahraman C (2020a) A novel spherical fuzzy analytic hierarchy process and its renewable energy application. Soft Comput 24(6):4607–4621

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

  • Gündogdu FK, Kahraman C (2021) Optimal site selection of electric vehicle charging station by using spherical fuzzy TOPSIS method. Decision making with spherical fuzzy sets. Springer, Cham, pp 201–216

  • Huang C, Lin M, Xu Z (2020) Pythagorean fuzzy MULTIMOORA method based on distance measure and score function: its application in multicriteria decision making process. Knowl Inf Syst 62(11):4373–4406

    Article  Google Scholar 

  • Kahraman C, Gündoğdu FK (2018) From 1D to 3D membership: spherical fuzzy sets. In: BOS/SOR 2018 Conference, Warsaw, Poland

  • Kahraman C, Gündogdu FK (2020) Decision making with spherical fuzzy sets: theory and applications. Springer, Berlin

    MATH  Google Scholar 

  • Kamaci H, Petchimuthu S (2020) Bipolar \(N\)-soft set theory with applications. Soft Comput 24(22):16727–16743

    Article  Google Scholar 

  • Lin M, Li X, Chen L (2020) Linguistic \(q\)-rung orthopair fuzzy sets and their interactional partitioned Heronian mean aggregation operators. Int J Intell Syst 35(2):217–249

    Article  Google Scholar 

  • Lin M, Huang C, Chen R, Fujita H, Wang X (2021a) Directional correlation coefficient measures for Pythagorean fuzzy sets: their applications to medical diagnosis and cluster analysis. Complex Intell Syst 7(2):1025–1043

  • Lin M, Li X, Chen R, Fujita H, Lin J (2021b) Picture fuzzy interactional partitioned Heronian mean aggregation operators: an application to MADM process. Artif Intell Rev. https://doi.org/10.1007/s10462-021-09953-7

  • Lin M, Chen Z, Xu Z, Gou X, Herrera F (2021c) Score function based on concentration degree for probabilistic linguistic term sets: an application to TOPSIS and VIKOR. Inf Sci 551:270–290

  • Liu P, Wang D, Zhang H, Yan L, Li Y, Rong L (2021a) Multi-attribute decision-making method based on normal T-spherical fuzzy aggregation operator. J Intell Fuzzy Syst 40(5):9543–9565

  • Liu R, Yao X, Guo C, Wei X (2021b) Can we forecast presidential election using twitter data? An integrative modelling approach. Ann GIS 27(1):43–56

  • Mahmood T, Ullah K, Khan Q, Jan N (2019) An approach toward decision-making and medical diagnosis problems using the concept of spherical fuzzy sets. Neural Comput Appl 31(11):7041–7053

    Article  Google Scholar 

  • Maji PK, Roy AR, Biswas R (2002) An application of soft sets in a decision making problem. Comput Math Appl 44(8–9):1077–1083

    Article  MathSciNet  Google Scholar 

  • Molodtsov D (1999) Soft set theory-first results. Comput Math Appl 37(4–5):19–31

    Article  MathSciNet  Google Scholar 

  • Peng X, Luo Z (2021) Decision-making model for China’s stock market bubble warning: the CoCoSo with picture fuzzy information. Artif Intell Rev. https://doi.org/10.1007/s10462-021-09954-6

    Article  Google Scholar 

  • Peng X, Selvachandran G (2019) Pythagorean fuzzy set: state of the art and future directions. Artif Intell Rev 52(3):1873–1927

    Article  Google Scholar 

  • Perveen PAF, Sunil JJ, Babitha KV, Garg H (2019) Spherical fuzzy soft sets and its applications in decision-making problems. J Intell Fuzzy Syst 37(6):8237–8250

    Article  Google Scholar 

  • Perveen PAF, Sunil JJ, Ratheesh KP (2020) On spherical fuzzy soft expert sets. In: AIP Conference Proceedings vol 2261, issue 1, p 030001

  • Yager RR (2013) Pythagorean fuzzy subsets. In: 2013 joint IFSA world congress and NAFIPS annual meeting (IFSA/NAFIPS). IEEE, pp 57–61

  • Yang Y, Liang C, Ji S, Liu T (2015) Adjustable soft discernibility matrix based on picture fuzzy soft sets and its applications in decision making. J Intell Fuzzy Syst 29(4):1711–1722

    Article  MathSciNet  Google Scholar 

  • Zadeh LA (1965) Fuzzy sets. Inf Control 8(3):338–353

    Article  Google Scholar 

  • Zhang H, Jia-Hua D, Yan C (2020) Multi-attribute group decision-making methods based on Pythagorean fuzzy \(N\)-soft sets. IEEE Access 8:62298–62309

    Article  Google Scholar 

Download references

Acknowledgements

This work was supported by the National Natural Science Foundation of China [No. 62006155].

Author information

Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan

    Muhammad Akram

  2. Department of Mathematics, Division of Science and Technology, University of Education, Lahore, 54770, Pakistan

    Ghous Ali & Muhammad Zain Ul Abidin

  3. School of Information Engineering, Shaoguan University, Shaoguan, China

    Xindong Peng

Authors
  1. Muhammad Akram
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ghous Ali
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Xindong Peng
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Muhammad Zain Ul Abidin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Xindong Peng.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest regarding the publication of this article.

Ethical approval

This article does not contain any studies with human participants or animals performed by any of the authors.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Akram, M., Ali, G., Peng, X. et al. Hybrid group decision-making technique under spherical fuzzy N-soft expert sets. Artif Intell Rev 55, 4117–4163 (2022). https://doi.org/10.1007/s10462-021-10103-2

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10462-021-10103-2

Keywords

Search

Navigation