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
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
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
Akram M, Ali G, Alcantud JCR (2022d) Attributes reduction algorithms for m-polar fuzzy relation decision systems. Int J Approximate Reasoning 140:232–254
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
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
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
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
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
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
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
Chu TC, Lin YC (2003) A fuzzy TOPSIS method for robot selection. Int J Adv Manuf Technol 21(4):284–290
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
Corrente S, Tasiou M (2023) A robust TOPSIS method for decision making problems with hierarchical and non-monotonic criteria. Expert Syst Appl 214:119045
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
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
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
Hoy MB (2017) An introduction to the blockchain and its implications for libraries and medicine. Med RefServ Q 36(3):273–279
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
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
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
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
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
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
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
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
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
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
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
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
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
Senapati T, Yager RR (2020) Fermatean fuzzy sets. J Ambient Intell Humaniz Comput 11:663–674
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
Tang H, Shi Y, Dong P (2019) Public blockchain evaluation using entropy and TOPSIS. Expert Syst Appl 117(1):204–210
Turksen IB (1986) Interval valued fuzzy sets based on normal forms. Fuzzy Sets Syst 20(2):191–210
Varma JR (2019) Blockchain in finance. J Decis Makers 44(1):1–11
Wang R, Lin Z, Luo H (2019) Blockchain, bank credit and SME financing. Qual Quant 53(3):1127–1140
Wątrobski J, Bączkiewicz A, Ziemba E, Sałabun W (2022) Sustainable cities and communities assessment using the DARIA-TOPSIS method. Sustain Cities Soc 83:103926
Yager RR (2016) Generalized orthopair fuzzy sets. IEEE Trans Fuzzy Syst 25(5):1222–1230
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
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
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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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DOI: https://doi.org/10.1007/s00500-023-08200-1