Skip to main content
SpringerLink
Log in

An extended EDAS method with circular intuitionistic fuzzy value features and its application to multi-criteria decision-making process

  • Published:
Artificial Intelligence Review Aims and scope Submit manuscript

Abstract

The paper aims is to present a multi-criteria decision-making algorithm for solving decision-making problems with the utilization of the C-IFSs (circular intuitionistic fuzzy sets) features. In it, the uncertainties present in the data are handled with the help of C-IFSs in which we considers the circular rating of each object within a certain radius. Later on, we propose a novel algebraic framework for C-IFSs based on Archimedean t-norm operations, including addition, multiplication, subtraction, and division. These operations enable the aggregation of preferences from multiple experts into a single ranking. Also, we propose an extended EDAS (Evaluation Based on Distance from Average Solution) method, which utilizes weighted aggregation operators and defuzzification techniques to rank alternatives. To validate our approach, we provide a numerical example and compare the results with existing methods. Additionally, we discuss the time complexity of the algorithm. The proposed methodology offers decision-makers the flexibility to analyze the influence of different ratings on the final decision and select suitable parameters.

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

Data availability

Data sharing not applicable to this article as no datasets were generated or analyzed during the current study.

References

  • Alkan N, Kahraman C (2022) Circular intuitionistic fuzzy TOPSIS method: pandemic hospital location selection. J Intell Fuzzy Syst 42(1):295–316

    Google Scholar 

  • Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20(1):87–96

    MathSciNet  MATH  Google Scholar 

  • Atanassov KT (2020) Circular intuitionistic fuzzy sets. J Intell Fuzzy Syst 39(5):5981–5986

    Google Scholar 

  • Atanassov K, Marinov E (2021) Four distances for circular intuitionistic fuzzy sets. Mathematics 9(10):1121

    Google Scholar 

  • Bilal MA, Shabir M, Al-Kenani AN (2021) Rough q-rung orthopair fuzzy sets and their applications in decision-making. Symmetry 13(11):2010

    Google Scholar 

  • Bolturk Eda, Kahraman C (2022) Interval-valued and circular intuitionistic fuzzy present worth analyses. Informatica. https://doi.org/10.15388/22-INFOR478

  • Chen TY (2023) Evolved distance measures for circular intuitionistic fuzzy sets and their exploitation in the technique for order preference by similarity to ideal solutions. Artif Intell Rev 56:7347–7401

    Google Scholar 

  • Chen TY (2023) A circular intuitionistic fuzzy evaluation method based on distances from the average solution to support multiple criteria intelligent decisions involving uncertainty. Eng Appl Artif Intell 117:105499

    Google Scholar 

  • Chang DY (1996) Applications of the extent analysis method on fuzzy AHP. Eur J Oper Res 95(3):649–655

    MATH  Google Scholar 

  • Cakir E, Tas MA (2023) Circular intuitionistic fuzzy decision making and its application. Expert Syst Appl 225:120076

    Google Scholar 

  • Cakir E, Tas MA, Ulukan Z (2021) A new circular intuitionistic fuzzy MCDM: a case of Covid-19 medical waste landfill site evaluation. In: 2021 IEEE 21st international symposium on computational intelligence and informatics (CINTI), 000143-000148, IEEE

  • Caloglu Büyükselçuk E, Sari YC (2023) The best whey protein powder selection via VIKOR based on circular intuitionistic fuzzy sets. Symmetry 15(7):1313

    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

    Google Scholar 

  • Cao B, Zhao J, Lv Z, Gu Y, Yang P, Halgamuge SK (2020) Multiobjective evolution of fuzzy rough neural network via distributed parallelism for stock prediction. IEEE Trans Fuzzy Syst 28(5):939–952

    Google Scholar 

  • Chinram R, Hussain A, Mahmood T, Ali MI (2021) EDAS method for multi-criteria group decision making based on intuitionistic fuzzy rough aggregation operators. IEEE Access 9:10199–10216

    Google Scholar 

  • Du WS (2021) Subtraction and division operations on intuitionistic fuzzy sets derived from the Hamming distance. Inform Sci 571:206–224

    MathSciNet  Google Scholar 

  • Fan JP, Cheng R, Wu MQ (2019) Extended EDAS methods for multi-criteria group decision-making based on IV-CFSWAA and IV-CFSWGA operators with interval-valued complex fuzzy soft information. IEEE Access 7:105546–105561

    Google Scholar 

  • Garg H, Atef M (2022) Cq-ROFRS: covering q-rung orthopair fuzzy rough sets and its application to multi-attribute decision-making process. Comp Intell Syst 1–22

  • Ghorabaee MK, Zavadskas EK, Amiri M, Turskis Z (2016) Extended EDAS method for fuzzy multi-criteria decision-making: an application to supplier selection. Int J Comput Commun Control 11(3):358–371

    Google Scholar 

  • Ghorabaee MK, Zavadskas EK, Olfat L, Turskis Z (2015) Multi-criteria inventory classification using a new method of evaluation based on distance from average solution (EDAS). Informatica 26(3):435–451

    Google Scholar 

  • Ghorabaee MK, Amiri M, Zavadskas EK, Turskis Z, Antucheviciene J (2017) Stochastic EDAS method for multi-criteria decision-making with normally distributed data. J Intell Fuzzy Syst 33(3):1627–1638

    Google Scholar 

  • Gou X, Xu Z, Ren P (2016) The properties of continuous Pythagorean fuzzy information. Int J Intell Syst 31(5):401–424

    Google Scholar 

  • Gul S (2021) Spherical fuzzy version of EDAS and an application. Int J Adv Eng Pure Sci 33(3):376–389

    Google Scholar 

  • Han L, Wei L (2020) An extended EDAS method for multicriteria decision-making based on multivalued neutrosophic sets. Complexity. Article ID 7578507

  • Haque TS, Chakraborty A, Alrabaiah H, Alam S (2022) Multiattribute decision-making by logarithmic operational laws in interval neutrosophic environments. Gran Comput 1–24

  • Huang Y, Lin R, Chen X (2021) An enhancement EDAS method based on prospect theory. Technol Econ Develop Econ 27(5):1019–1038

    Google Scholar 

  • Imanov G, Aliyev A (2021) Circular Intuitionistic Fuzzy Sets in Evaluation of Human Capital. In: Romero MBF (Ed.), Revista cientifica del instituto iberoamericano de desarrollo empresarial (pp. 1–13). Instituto Iberoamericano de Desarrollo Empresarial. No. 04-2018-073111462600-102, ISSN-2683-1562

  • Jiang Z, Wei G, Chen X (2022) EDAS method based on cumulative prospect theory for multiple attribute group decision-making under picture fuzzy environment. J Intell Fuzzy Syst 42(3):1723–1735

    Google Scholar 

  • Junior FRL, Osiro L, Carpinetti LCR (2014) A comparison between Fuzzy AHP and Fuzzy TOPSIS methods to supplier selection. Appl Soft Comput 21:194–209

    Google Scholar 

  • Kahraman C, Ghorabaee MK, Zavadskas EK, Onar SC, Yazdani M, Oztaysi B (2017) Intuitionistic fuzzy EDAS method: an application to solid waste disposal site selection. J Environ Eng Landscape Manag 25(1):1–12

    Google Scholar 

  • Kahraman C, Otay I (2022) Extension of VIKOR method using circular intuitionistic fuzzy sets. In: Kahraman C, Cebi S, Cevik Onar S, Oztaysi B, Tolga AC, Sari IU (eds) Intelligent and fuzzy techniques for emerging conditions and digital transformation. INFUS 2021. Lecture Notes in Networks and Systems, vol 308. Springer, Cham

  • Kahraman C, Alkan N (2021) Circular intuitionistic fuzzy TOPSIS method with vague membership functions: Supplier selection application context. Notes on Intuitionistic Fuzzy Sets. 27(1):24–52

    Google Scholar 

  • Kendall MG (1970) Rank correlation methods, 4th edn. Charles Griffin and Co., London

    MATH  Google Scholar 

  • Khan MJ, Kumam W, Alreshidi NA (2022) Divergence measures for circular intuitionistic fuzzy sets and their applications. Eng Appl Artif Intell 116:105455

    Google Scholar 

  • Khan MA, Khan F, Abdullah S (2023) Spherical fuzzy rough EDAS method under einstein aggregation operators applications in cache replacement policy. IEEE Access

  • Klir G, Yuan B (1995) Fuzzy Sets and Fuzzy Logic: theory and applications. Prentice Hall, Upper Saddle River

    MATH  Google Scholar 

  • Kumar K, Chen SM (2022) Group decision making based on advanced intuitionistic fuzzy weighted Heronian mean aggregation operator of intuitionistic fuzzy values. Inform Sci. https://doi.org/10.1016/j.ins.2022.04.001

    Article  Google Scholar 

  • Li X, Sun Y (2020) Stock intelligent investment strategy based on support vector machine parameter optimization algorithm. Neural Comput Appl 32(6):1765–1775

    Google Scholar 

  • Li X, Sun Y (2021) Application of RBF neural network optimal segmentation algorithm in credit rating. Neural Comput Appl 33(14):8227–8235

    Google Scholar 

  • Li YY, Wang JQ, Wang TL (2019) A linguistic neutrosophic multi-criteria group decision-making approach with EDAS method. Arabian J Sci Eng 44(3):2737–2749

    Google Scholar 

  • Liang Y (2020) An EDAS method for multiple attribute group decision-making under intuitionistic fuzzy environment and its application for evaluating green building energy-saving design projects. Symmetry 12(3):484

    Google Scholar 

  • Liao H, Xu Z (2014) Subtraction and division operations over hesitant fuzzy sets. J Intell Fuzzy Syst 27(1):65–72

    MathSciNet  MATH  Google Scholar 

  • Liao N, Gao H, Lin R, Wei G, Chen X (2023) An extended EDAS approach based on cumulative prospect theory for multiple attributes group decision making with probabilistic hesitant fuzzy information. Artif Intell Rev 56:2971–3003

    Google Scholar 

  • Liu Y, Yang X (2023) EDAS method for single-valued neutrosophic number multiattribute group decision-making and applications to physical education teaching quality evaluation in colleges and universities. Math Prob Eng 2023, Article ID 5576217, 11 pages

  • Lu X, Zhang T, Fang Y, Ye J (2021) Einstein Aggregation Operators of Simplified Neutrosophic Indeterminate Elements and Their Decision-Making Method. Neutrosophic Sets Syst 47:12–25

    Google Scholar 

  • Menekse A, Akdag HC (2022) Distance education tool selection using novel spherical fuzzy AHP EDAS. Soft Comput 26:1617–1635

    Google Scholar 

  • Mishra AR, Liu P, Rani P (2022) COPRAS method based on interval-valued hesitant Fermatean fuzzy sets and its application in selecting desalination technology. Appl Soft Comput 119:108570

    Google Scholar 

  • Nguyen HT, Kreinovich V, Wojciechowski P (1998) Strict Archimedean t-norms and t-conorms as universal approximators. Int J Approx Reason 18(3–4):239–249

    MathSciNet  MATH  Google Scholar 

  • Ocampo L, Tanaid RA, Tiu AM, Selerio E Jr, Yamagishi K (2021) Classifying the degree of exposure of customers to COVID-19 in the restaurant industry: a novel intuitionistic fuzzy set extension of the TOPSIS-Sort. Appl Soft Comput 113:107906

    Google Scholar 

  • Olgun M, Unver M, Yardimci S (2021) Pythagorean fuzzy points and applications in pattern recognition and Pythagorean fuzzy topologies. Soft Comput 25(7):5225–5232

    MATH  Google Scholar 

  • Otay I, Kahraman C (2022) A novel circular intuitionistic fuzzy AHP & VIKOR methodology: an application to a multi-expert supplier evaluation problem. Pamukkale Univ Muh Bilim Derg 28(1):194–207

    Google Scholar 

  • Özçelik G, Nalkiran M (2021) An Extension of EDAS Method Equipped with Trapezoidal Bipolar Fuzzy Information: An Application from Healthcare System. Int J Fuzzy Syst 23:2348–2366

    Google Scholar 

  • Paul TK, Jana C, Pal M (2023) Multi-criteria group decision-making method in disposal of municipal solid waste based on cubic Pythagorean fuzzy EDAS approach with incomplete weight information. Appl Soft Comput 144:110515

    Google Scholar 

  • Peng X, Dai J, Yuan H (2017) Interval-valued fuzzy soft decision making methods based on MABAC, similarity measure and EDAS. Fundam Informaticae 152:373–396

    MathSciNet  MATH  Google Scholar 

  • Peng X, Yang Y (2015) Some results for Pythagorean fuzzy sets. Int J Intell Syst 30(11):1133–1160

    MathSciNet  Google Scholar 

  • Song F, Liu Y, Jin W, Tan J, He W (2022) Data-driven feedforward learning with force ripple compensation for wafer stages: a variable-gain robust approach. IEEE Trans Neural Networks Learn Syst 33(4):1594–1608

    MathSciNet  Google Scholar 

  • Spearman C (1987) The proof and measurement of association between two things. Am J Psychol 100(3/4):441–471

    Google Scholar 

  • Stanujkic D, Zavadskas EK, Ghorabaee MK, Turskis Z (2017) An extension of the EDAS method based on the use of interval grey numbers. Stud Inform Control 26(1):5–12

    Google Scholar 

  • Stevic Z, Vasiljevic M, Zavadskas EK, Sremac S, Turskis Z (2018) Selection of carpenter manufacturer using fuzzy EDAS method. Eng Econ 29(3):281–290

    Google Scholar 

  • Unver M, Olgun M, Turkarslan E (2022) Cosine and cotangent similarity measures based on Choquet integral for Spherical fuzzy sets and applications to pattern recognition. J Comput Cognit Eng 21–31

  • Unver M, Turkarslan E, Olgun M, Ye J (2022) Intuitionistic fuzzy-valued neutrosophic multi-sets and numerical applications to classification. Compl Intell Syst 1–19

  • Xie X, Huang L, Marson SM, Wei G (2023) Emergency response process for sudden rainstorm and flooding: scenario deduction and Bayesian network analysis using evidence theory and knowledge meta-theory. Natural Hazards 117(3):3307–3329. https://doi.org/10.1007/s11069-023-05988-x

    Article  Google Scholar 

  • Wang Z, Cai Q, Lu J, Wei G (2023) Sustainable supplier selection by using dual probabilistic linguistic EDAS and ITARA method. J Intell Fuzzy Syst 44(6):9495–9512

    Google Scholar 

  • Wei G, Wei C, Guo Y (2021) EDAS method for probabilistic linguistic multiple attribute group decision making and their application to green supplier selection. Soft Comput 25:9045–9053

    Google Scholar 

  • Yazdani M, Tavana M, Pamucar D, Chatterjee P (2020) A rough based multicriteria evaluation method for healthcare waste disposal location decisions. Comput Ind Eng 143:106394

    Google Scholar 

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

    MATH  Google Scholar 

  • Zhang S, Wei G, Gao H, Wei C, Wei Y (2019) EDAS method for multiple criteria group decision making with picture fuzzy information and its application to green suppliers selections. Technol Econ Dev Econ 25(6):1123–1138

    Google Scholar 

Download references

Funding

The research of Ezgi Türkarslan has been supported by Turkish Scientific and Technological Research Council (TÜBİTAK) Programme 2211.

Author information

Author notes

  1. Harish Garg, Mehmet Ünver, Murat Olgun and Ezgi Türkarslan contributed equally to this manuscript.

Authors and Affiliations

  1. School of Mathematics, Thapar Institute of Engineering and Technology (Deemed University), Patiala, 147004, Punjab, India

    Harish Garg

  2. Center for Global Health Research, Saveetha Medical College and Hospital, Saveetha Institute of Medical and Technical Sciences, Chennai, 602117, India

    Mehmet Ünver

  3. College of Technical Engineering, Department of Medical Devices Engineering Technologies, National University of Science and Technology, Dhi Qar, Nasiriyah, Iraq

    Murat Olgun

  4. Faculty of Science, Department of Mathematics, Ankara University, 06100, Ankara, Turkey

    Mehmet Ünver, Murat Olgun & Ezgi Türkarslan

  5. Faculty of Arts And Science, Department of Mathematics, TED University, 06420, Ankara, Turkey

    Ezgi Türkarslan

Authors
  1. Harish Garg
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Mehmet Ünver
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Murat Olgun
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Ezgi Türkarslan
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Harish Garg.

Ethics declarations

Conflicts of interest

The authors declare that they have no competing interests.

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

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., Ünver, M., Olgun, M. et al. An extended EDAS method with circular intuitionistic fuzzy value features and its application to multi-criteria decision-making process. Artif Intell Rev 56 (Suppl 3), 3173–3204 (2023). https://doi.org/10.1007/s10462-023-10601-5

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10462-023-10601-5

Keywords

Search

Navigation