Skip to main content
Log in

Fermatean Fuzzy Similarity Measures-Based Group Decision-Making Algorithm and Its Application to Dengue Disease

  • Research Paper
  • Published:
Iranian Journal of Science and Technology, Transactions of Electrical Engineering Aims and scope Submit manuscript

Abstract

The Fermatean fuzzy set (FFS) is an effective and robust technique for handling ambiguity, to deal with issues that can’t be resolved using the concepts of Intuitionistic fuzzy set and Pythagorean fuzzy set. Due to its essential uses and crucial significance in solving insoluble real-world problems in a variety of sectors, FFS has generated a maze of research since its inception. In this elaborative study, we establish a clear definition for the concept of similarity measures along with their essential qualities in the context of FFS. Additionally, we introduced a group decision-making algorithm grounded in the suggested similarity measures to tackle the issues. The attribute weights are determined by utilizing the newly introduced similarity measures as part of the process. The credibility of the algorithm is demonstrated through a case of dengue diseases and a comparison of its results with some of the existing studies.

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

Access this article

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

Instant access to the full article PDF.

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

We’re sorry, something doesn't seem to be working properly.

Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

References

  • Akram M, Shahzadi G, Ahmadini AAH (2020) Decision making framework for an effective sanitizer to reduce COVID-19 under Fermatean fuzzy environment. J Math 2020:19

    Article  MathSciNet  Google Scholar 

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

    Article  Google Scholar 

  • Beliakov G, James S (2014) Averaging aggregation functions for preferences expressed as Pythagorean membership grades and fuzzy orthopairs. In: IEEE international conference on fuzzy systems (FUZZ-IEEE), pp 298–305

  • Bellman RE, Zadeh LA (1970) Decision-making in a fuzzy environment. Manag Sci 17B:141–164

    Article  MathSciNet  Google Scholar 

  • Bhuju G, Phaijoo GR, Gurung DB (2020) Fuzzy approach analyzing SEIR-SEI dengue dynamics. BioMed Res Inte 2020:1508613. https://doi.org/10.1155/2020/1508613

    Article  Google Scholar 

  • Cao B, Dong W, Lv Z, Gu Y, Singh S, Kumar P (2020) Hybrid microgrid many-objective sizing optimization with fuzzy decision. IEEE Trans Fuzzy Syst 28(11):2702–2710

    Article  Google Scholar 

  • Dayan F, Rafiq M, Ahmed N, Raza A, Ahmad MO (2022) A dynamical study of a fuzzy epidemic model of Mosquito-Borne disease. Comput Biol Med 148:105673

    Article  Google Scholar 

  • Deng Z, Wang J (2021) Evidential Fermatean fuzzy multicriteria decision-making based on Fermatean fuzzy entropy. Int J Intell Syst 36(10):5866–5886

    Article  Google Scholar 

  • Dengue Fever World Health Organization (2009) Fact Sheet No. 117

  • Elngar A, Burlea-Schiopoiu A (2023) Feature selection and dynamic network traffic congestion classification based on machine learning for Internet of Things. Wasit J Comput Math Sci 2(2):76–91

    Article  Google Scholar 

  • Farhan RI, Maolood AT, Hassan N (2021) Hybrid feature selection approach to improve the deep neural network on new flow-based dataset for NIDS. Wasit J Comput Math Sci 1(1):66–83

    Google Scholar 

  • Gul S (2021) Fermatean fuzzy set extensions of SAW, ARAS, and VIKOR with applications in COVID-19 testing laboratory selection problem. Expert Syst 38(8):e12769

    Article  Google Scholar 

  • Ibrahim HK (2022) Deep learning based hybrid classifier for analyzing hepatitis C in ultrasound images. Wasit J Comput Math Sci 1(4):1–9

    Article  Google Scholar 

  • Khan E, Kisat M, Khan N, Nasir A, Ayub S, Hasan R (2010) Demographic and clinical features of dengue fever in Pakistan from 2003–2007: a retrospective cross-sectional study. PLoS One 5(9):e12505. https://doi.org/10.1371/journal.pone.0012505

    Article  Google Scholar 

  • Khan FM, Khan I, Ahmad W (2022) A Benchmark Similarity Measures for Fermatean Fuzzy Sets. Bull Sect Log 51(2):207–226. https://doi.org/10.18778/0138-0680.2022.08

    Article  MathSciNet  Google Scholar 

  • Kim SH, Ahn BS (1999) Interactive group decision making procedure under incomplete information. Eur J Oper Res 116:498–507

    Article  Google Scholar 

  • Liu D, Liu Y, Chen X (2019) Fermatean fuzzy linguistic set and its application in multicriteria decision making. Int J Intell Syst 34(5):878–894

    Article  Google Scholar 

  • Liu D, Liu Y, Wang L (2019) Distance measure for Fermatean fuzzy linguistic term sets based on linguistic scale function: an illustration of the TODIM and TOPSIS methods. Int J Intell Syst 34(11):2807–2834

    Article  Google Scholar 

  • Peng X (2019) New similarity measure and distance measure for Pythagorean fuzzy set. Complex Intell Syst 5(2):101–111

    Article  Google Scholar 

  • Senapati T, Yager RR (2019) Fermatean fuzzy weighted averaging/geometric operators and its application in multi-criteria decision-making methods. Eng Appl Artif Intell 85:112–121

    Article  Google Scholar 

  • Senapati T, Yager RR (2019) Some new operations over Fermatean fuzzy numbers and application of Fermatean fuzzy WPM in multiple criteria decision making. Informatica 30(2):391–412

    Article  Google Scholar 

  • Senapati T, Yager RR (2020) Fermatean fuzzy sets. J Ambient Intell Human Comput 11:663–674

    Article  Google Scholar 

  • Sergi D, Sari IU (2020) Fuzzy capital budgeting using Fermatean fuzzy sets. In: International conference on intelligent and fuzzy systems, Springer, Cham, pp 448–456

  • Verma R (2021) A decision-making approach based on new aggregation operators under Fermatean fuzzy Linguistic information environment. Axioms 10(2):113. https://doi.org/10.3390/axioms10020113

    Article  Google Scholar 

  • Waden J (2022) Artificial intelligence and its role in the development of personalized medicine and drug control. Wasit J Comput Math Sci 1(4):126–133

    Article  Google Scholar 

  • WHO (2008) Dengue and dengue haemorrhagic fever. Factsheet No 117, revised May 2008. Geneva, World Health Organization. (http://www.who.int/mediacentre/ factsheets/fs117/en/)

  • World Health Organization, et al (2009) Dengue: guidelines for diagnosis, treatment, prevention and control. World Health Organization

  • Wu ZB, Chen YH (2007) The maximizing deviation method for group multiple attribute decision making under linguistic environment. Fuzzy Sets Syst 158:1608–1617

    Article  MathSciNet  Google Scholar 

  • Xie X, Xie B, Xiong D, Hou M, Zuo J, Wei G, Chevallier J (2023) New theoretical ISM-K2 Bayesian network model for evaluating vaccination effectiveness. J Ambient Intell Humaniz Comput 14:12789–12805. https://doi.org/10.1007/s12652-022-04199-9

    Article  Google Scholar 

  • Xu ZS, Yager RR (2008) Dynamic intuitionistic fuzzy multi-attribute decision making. Int J Approx Reason 48:246–262

    Article  Google Scholar 

  • Xu ZS, Yager RR (2011) Intuitionistic fuzzy Bonferroni means. IEEE Trans Syst Man Cybern Part B 41:568–578

    Article  Google Scholar 

  • Yager RR (2009) OWA aggregation of intuitionistic fuzzy sets. Int J Gen Syst 38:617–641

    Article  MathSciNet  Google Scholar 

  • Yager RR (2010) Level sets and the representation theorem for intuitionistic fuzzy sets. Soft Comput 14:1–7

    Article  Google Scholar 

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

  • Yager RR (2013) Pythagorean membership grades in multicriteria decision making. IEEE Trans Fuzzy Syst 22(4):958–965

    Article  Google Scholar 

  • Yager RR (2014) Pythagorean membership grades in multi-criteria decision making. IEEE Trans Fuzzy Syst 22:958–965

    Article  Google Scholar 

  • Yager RR, Abbasov AM (2013) Pythagorean membership grades, complex numbers, and decision making. Int J Intell Syst 28:436–452

    Article  Google Scholar 

  • Zhang X (2016) A novel approach based on similarity measure for Pythagorean fuzzy multiple criteria group decision making. Int J Intell Syst 31(6):593–611

    Article  Google Scholar 

  • Zhang XL, Xu ZS (2014) Extension of TOPSIS to multiple criteria decision making with Pythagorean fuzzy sets. Int J Intell Syst 29:1061–1078

    Article  MathSciNet  Google Scholar 

  • Zhang XL, Xu ZS (2014) The TODIM analysis approach based on novel measured functions under hesitant fuzzy environment. Knowl-Based Syst 61:48–58

    Article  Google Scholar 

  • Zhang XL, Xu ZS (2015) Hesitant fuzzy QUALIFLEX approach with a signed distance-based comparison method for multiple criteria decision analysis. Expert Syst Appl 42:873–884

    Article  Google Scholar 

  • Zhang XL, Xu ZS (2015) Soft computing based on maximizing consensus and fuzzy TOPSIS approach to interval-valued intuitionistic fuzzy group decision making. Appl Soft Comput 26:42–56

    Article  Google Scholar 

  • Zhang XL, Xu ZS, Wang H (2015) Heterogeneous multiple criteria group decision making with incomplete weight information: a deviation modeling approach. Inform Fusion 25:49–62

    Article  Google Scholar 

  • Zhang C, Wang C, Zhang Z, Tian D (2019) A novel technique for multiple attribute group decision making in interval-valued hesitant fuzzy environments with incomplete weight information. J Ambient Intell Human Comput 10:2417–2433. https://doi.org/10.1007/s12652-018-0912-2

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Harish Garg.

Ethics declarations

Conflict of interest

The authors affirm that they have no known competing financial interests or personal affiliations that might be perceived as having an impact on the research presented in this paper.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Garg, H., Khan, F.M. & Ahmed, W. Fermatean Fuzzy Similarity Measures-Based Group Decision-Making Algorithm and Its Application to Dengue Disease. Iran J Sci Technol Trans Electr Eng (2024). https://doi.org/10.1007/s40998-023-00685-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s40998-023-00685-8

Keywords

Navigation