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Particle swarm optimization selection based on the TOPSIS technique

  • Fuzzy systems and their mathematics
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Abstract

The triangular fermatean fuzzy sets integrated by fermatean fuzzy sets and triangular fuzzy variables are presented in this object. This paper presented a triangular fermatean fuzzy sets and operational laws. We define Einstein technique to TFFSs and define the multi-attribute group decision-making based on TOPSIS technique. We define the TFF-AHP-TOPSIS technique for particle swarm optimization. Then, a novel TF-Einstein-based multi-attribute group decision-making model combining the proposed aggregation operators and generalized distance is created. Their TFF-AHP-TOPSIS technique deliberated and a PIS and NIS are offered. Finally, a numerical example is based on TFF-AHP-TOPSIS technique. We advance examination the rationality and advantages of the proposed method through sensitivity analysis and reliability study. Multiple attribute decision-making expression main parts in our ordinary lifetime.

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References

  • Akram M, Naz S (2019) A novel decision-making approach under complex Pythagorean fuzzy environment. Mathemat Comput Appl 24(3):73

    MathSciNet  Google Scholar 

  • Akram MS, Dwivedi YK, Shareef MA, Bhatti ZA (2022a) Editorial introduction to the special issue: social customer journey–behavioural and social implications of a digitally disruptive environment. Technol Forecast Soc Chang 185:122101

    Article  Google Scholar 

  • Akram M, Khan A, Ahmad U, Alcantud JCR, Al-Shamiri MMA (2022c) A new group decision-making framework based on 2-tuple linguistic complex $ q $-rung picture fuzzy sets. Math Biosci Eng 19(11):11281–11323

    Article  MathSciNet  MATH  Google Scholar 

  • Akram M, Ali G, Alcantud JCR (2022d) Attributes reduction algorithms for m-polar fuzzy relation decision systems. Int J Approximate Reasoning 140:232–254

    Article  MathSciNet  MATH  Google Scholar 

  • Akram M, Bibi R, & Ali Al-Shamiri M M (2022b) A decision-making framework based on 2-tuple linguistic fermatean fuzzy Hamy mean operators. Mathemat Problems Eng

  • Atanassov KT, Gargov G (1989) Interval-valued intuitionistic fuzzy sets. Fuzzy Sets Syst 31(3):343–349

    Article  MathSciNet  MATH  Google Scholar 

  • Bangyal WH, Hameed A, Alosaimi W, Alyami H (2021) A new initialization approach in particle swarm optimization for global optimization problems. Comput Intell Neurosci 2021:1–17

    Article  Google Scholar 

  • Beck R, Müller-Bloch C (2017) Blockchain as radical innovation: a framework for engaging with distributed ledgers as incumbent organization

  • Bilgili F, Zarali F, Ilgün MF, Dumrul C, Dumrul Y (2022) The evaluation of renewable energy alternatives for sustainable development in Turkey using intuitionistic fuzzy-TOPSIS method. Renew Energy 189:1443–1458

    Article  Google Scholar 

  • Birch D, Brown RG, Parulava S (2016) Towards ambient accountability in financial services: shared ledgers, translucent transactions and the technological legacy of the great financial crisis. J Paym Strategy Syst 10(2):118–131

    Google Scholar 

  • Celikbilek Y, Tüysüz F (2020) An in-depth review of theory of the TOPSIS method: an experimental analysis. J Manage Anal 7(2):281–300

    Google Scholar 

  • Chang PC, Lin JJ, Liu CH (2012) An attribute weight assignment and particle swarm optimization algorithm for medical database classifications. Comput Methods Programs Biomed 107(3):382–392

    Article  Google Scholar 

  • Chen Y (2018) Blockchain tokens and the potential demonstration of entrepreneurship and innovation.

  • Chen P (2019) Effects of normalization on the entropy-based TOPSIS method. Expert Syst Appl 136:33–41

    Article  Google Scholar 

  • Chu TC, Lin YC (2003) A fuzzy TOPSIS method for robot selection. Int J Adv Manuf Technol 21(4):284–290

    Article  Google Scholar 

  • Colak M, Kaya İ, Özkan B, Budak A, Karaşan A (2020) A multi-criteria evaluation model based on hesitant fuzzy sets for blockchain technology in supply chain management. J Intell Fuzzy Syst 38(1):935–946

    Article  Google Scholar 

  • Corrente S, Tasiou M (2023) A robust TOPSIS method for decision making problems with hierarchical and non-monotonic criteria. Expert Syst Appl 214:119045

    Article  Google Scholar 

  • Dziwiński P, Bartczuk Ł (2019) A new hybrid particle swarm optimization and genetic algorithm method controlled by fuzzy logic. IEEE Trans Fuzzy Syst 28(6):1140–1154

    Article  Google Scholar 

  • Farshidi S, Jansen S, Espana S, Verkleij J (2020) Decision support for blockchain platform selection: three industry case studies. IEEE Trans Eng Manag 67(4):1109–1128

    Article  Google Scholar 

  • Herliana A, Arifin T, Susanti S, & Hikmah A B (2018) Feature selection of diabetic retinopathy disease using particle swarm optimization and neural network. In: 2018 6th international conference on cyber and IT service management (CITSM) (pp. 1–4). IEEE

  • Holotiuk F, Pisani F, Moormann F (2019) Radicalness of blockchain: an assessment based on its impact on the payments industry. Technol Anal Strateg 31(8):915–928

    Article  Google Scholar 

  • Hoy MB (2017) An introduction to the blockchain and its implications for libraries and medicine. Med RefServ Q 36(3):273–279

    Google Scholar 

  • Jahandideh-Tehrani M, Bozorg-Haddad O, Loáiciga HA (2020) Application of particle swarm optimization to water management: an introduction and overview. Environ Monit Assess 192:1–18

    Article  Google Scholar 

  • Jahanshahloo GR, Lotfi FH, Izadikhah M (2006) Extension of the TOPSIS method for decision-making problems with fuzzy data. Appl Math Comput 181(2):1544–1551

    MATH  Google Scholar 

  • Jin F, Pei L, Chen H, Langari R, Liu J (2019) A novel decision-making model with Pythagorean fuzzy linguistic information measures and its application to a sustainable blockchain product assessment problem. Sustainability 20(11):1–17

    Google Scholar 

  • Karaşan A, Kaya İ, Erdoğan M, Çolak M (2021) A multicriteria decision making methodology based on two-dimensional uncertainty by hesitant Z-fuzzy linguistic terms with an application for blockchain risk evaluation. Appl Soft Comput 113:108014

    Article  Google Scholar 

  • Kennedy J, & Eberhart R (1995) Particle swarm optimization. In: Proceedings of ICNN'95-international conference on neural networks (Vol. 4, pp. 1942–1948). IEEE

  • Lemieux VL (2016) Trusting records: is Blockchain technology the answer? Rec Manag J 26(2):110–139

    Google Scholar 

  • Lin YP, Petway JR, Anthony J, Mukhtar H, Liao SW, Chou CF, Ho YF (2017) Blockchain: the evolutionary next step for ICT E-agriculture. Environments 4(3):50

    Article  Google Scholar 

  • Liu L, Li F, Qi E (2019) Research on risk avoidance and coordination of supply chain subject based on blockchain technology. Sustainability 11(7):1–14

    Article  Google Scholar 

  • Liu W, Wang Z, Zeng N, Yuan Y, Alsaadi FE, Liu X (2021) A novel randomised particle swarm optimizer. Int J Mach Learn Cybern 12:529–540

    Article  Google Scholar 

  • Nazim M, Mohammad CW, Sadiq M (2022) A comparison between fuzzy AHP and fuzzy TOPSIS methods to software requirements selection. Alex Eng J 61(12):10851–10870

    Article  Google Scholar 

  • Ozkan B, Kaya İ, Erdoğan M and Karaşan A (2019) Evaluating blockchain risks by using a MCDM methodology based on Pythagorean fuzzy sets. In: 2019 international conference on intelligent and fuzzy systems (ICIFS), pp 935–943.

  • Pavić Z, Novoselac V (2013) Notes on TOPSIS method. Int J Res Eng Sci 1(2):5–12

    Google Scholar 

  • Pervaiz S, Ul-Qayyum Z, Bangyal W H, Gao L, & Ahmad J (2021) A systematic literature review on particle swarm optimization techniques for medical diseases detection. Comput Mathemat Methods Med

  • Piotrowski AP, Napiorkowski JJ, Piotrowska AE (2020) Population size in particle swarm optimization. Swarm Evol Comput 58:100718

    Article  Google Scholar 

  • Ren L, Zhang Y, Wang Y, & Sun Z (2007) Comparative analysis of a novel M-TOPSIS method and TOPSIS. Appl Mathemat Res eXpress

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

    Article  MATH  Google Scholar 

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

    Article  Google Scholar 

  • Shami TM, El-Saleh AA, Alswaitti M, Al-Tashi Q, Summakieh MA, Mirjalili S (2022) Particle swarm optimization: a comprehensive survey. IEEE Access 10:10031–10061

    Article  Google Scholar 

  • Tang H, Shi Y, Dong P (2019) Public blockchain evaluation using entropy and TOPSIS. Expert Syst Appl 117(1):204–210

    Article  Google Scholar 

  • Turksen IB (1986) Interval valued fuzzy sets based on normal forms. Fuzzy Sets Syst 20(2):191–210

    Article  MathSciNet  MATH  Google Scholar 

  • Varma JR (2019) Blockchain in finance. J Decis Makers 44(1):1–11

    Article  Google Scholar 

  • Wang R, Lin Z, Luo H (2019) Blockchain, bank credit and SME financing. Qual Quant 53(3):1127–1140

    Article  Google Scholar 

  • Wątrobski J, Bączkiewicz A, Ziemba E, Sałabun W (2022) Sustainable cities and communities assessment using the DARIA-TOPSIS method. Sustain Cities Soc 83:103926

    Article  Google Scholar 

  • Yager RR (2016) Generalized orthopair fuzzy sets. IEEE Trans Fuzzy Syst 25(5):1222–1230

    Article  Google Scholar 

  • Yaqoob I, Salah K, Jayaraman R and AI-Hammadi Y (2021) Blockchain for healthcare data management:opportunities, challenges, and future recommendations. Neural Comput Appl.

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

    Article  MathSciNet  MATH  Google Scholar 

  • Zhang Z, Ning H, Shi F, Farha F, Xu Y, Xu J, Zhang F and Raymond Choo K (2021) Artificial intelligence in cyber security: research advances, challenges, and opportunities. Artif Intell Rev.

  • Zhou F, Chen TY (2021) An extended Pythagorean fuzzy VIKOR method with risk preference and a novel generalized distance measure for multicriteria decision-making problems. Neural Comput Appl 33:11821–11844

    Article  Google Scholar 

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Correspondence to Aliya Fahmi.

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Fahmi, A. Particle swarm optimization selection based on the TOPSIS technique. Soft Comput 27, 9225–9245 (2023). https://doi.org/10.1007/s00500-023-08200-1

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