Abstract
Cloud computing concept has taken prodigious growth over the last decade. With the vast options of Cloud Service Providers available nowadays and a variety of services and facilities to choose from, it is of paramount necessity to opt for the best cloud service provider based on multiple criteria and requirements ascertained by any organization or an individual. This study selects the cloud service provider based on various conflicting criteria. In this paper, pentagonal intuitionistic fuzzy number (PIFN) with MCDM tool analytic hierarchy process (AHP) and Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) methods have been used to rank the Cloud Service Providers (CSPs). Firstly, the criteria PIFN weights are calculated using comparison matrices with the help of decision-makers (DMs), and then, FTOPSIS is done to obtain the final ranking. Sensitivity and comparative analyses have been conducted to see the changes in ranking obtained. These analyses help analyze the most sensitive criteria and thus help the researchers mark and evaluate for future scope and further research.
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References
Abu Arqub O (2017) Adaptation of reproducing kernel algorithm for solving fuzzy fredholm-volterra integrodifferential equations. Neural Comput Appl 28(7):1591–1610
Abu Arqub O, Singh J, Maayah B, Alhodaly M (2021a) Reproducing kernel approach for numerical solutions of fuzzy fractional initial value problems under the Mittag–Leffler kernel differential operator. Math Methods Appl Sci
Abu Arqub, O, Singh J, & Alhodaly M (2021b) Adaptation of kernel functions‐based approach with Atangana–Baleanu–Caputo distributed order derivative for solutions of fuzzy fractional Volterra and Fredholm integrodifferential equations. Math Methods Appl Sci
Akyar E, Akyar H, Düzce SA (2012) A new method for ranking triangular fuzzy numbers. Int J Uncertain Fuzziness Knowledge Based Syst 20(05):729–740
Alam KA, Ahmed R, Butt FS, Kim SG, Ko KM (2018) An uncertainty-aware integrated fuzzy AHP-WASPAS model to evaluate public cloud computing services. Procedia Comput Sci 130:504–509
Ali S, Ullah N, Abrar MF, Yang Z, Huang J (2020) Fuzzy multicriteria decision-making approach for measuring the possibility of cloud adoption for software testing. Sci Programm 2020
Almishal A, Youssef AE (2014) Cloud service providers: a comparative study. Int J Comput Appl Inform Technol, 5(II)
Alshammari M, Al-Smadi M, Arqub OA, Hashim I, Alias MA (2020) Residual Series representation algorithm for solving fuzzy duffing oscillator equations. Symmetry 12(4):572
Al-Zahrani FA (2020) Evaluating the usable-security of healthcare software through unified technique of fuzzy logic, ANP and TOPSIS. IEEE Access 8:109905–109916
Alzahrani FA (2021) Fuzzy based decision-making approach for estimating usable-security of healthcare web applications. Comput Mater Continua 66(3):2599–2625
Ansari MTJ, Al-Zahrani FA, Pandey D, Agrawal A (2020) A fuzzy TOPSIS based analysis toward selection of effective security requirements engineering approach for trustworthy healthcare software development. BMC Med Inform Decis Mak 20(1):1–13
Ashraf I (2014) An overview of service models of cloud computing. Int J Multidiscip Curr Res 2(1):779–783
Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87–96
Boutkhoum O, Hanine M, Agouti T, Tikniouine A (2016) Selection problem of cloud solution for big data accessing: fuzzy AHP-PROMETHEE as a proposed methodology. J Digital Inform Manag 14(6)
Büyüközkan G, Göçer F, Feyzioğlu O (2018) Cloud computing technology selection based on interval-valued intuitionistic fuzzy MCDM methods. Soft Comput 22(15):5091–5114
Chakraborty A, Mondal SP, Alam S, Ahmadian A, Senu N, De D, Salahshour S (2019) The pentagonal fuzzy number: its different representations, properties, ranking, defuzzification and application in game problems. Symmetry 11(2):248
Chakraborty A, Maity S, Jain S et al (2021) Hexagonal fuzzy number and its distinctive representation, ranking, defuzzification technique and application in production inventory management problem. Granul Comput 6:507–521
Chang SSL, Zadeh LA (1972) On fuzzy mappings and control. IEEE Trans Syst Man Cybernet 2:30–34
Christi MA, Kasthuri B (2016) Transportation problem with pentagonal intuitionistic fuzzy numbers solved using ranking technique and Russell’s method. Int J Eng Res Appl 6(2):82–86
Cloud Standards Customer Council (2017) Interoperability and portability for cloud computing: a guide, version 2.0. https://www.omg.org/cloud/deliverables/CSCC-Interoperability-and-Portability-for-Cloud-Computing-A-Guide.pdf
Dubois D, Ostasiewicz W, Prade H (2000) Fuzzy sets: history and basic notions. In: Fundamentals of fuzzy sets. Springer, Boston, MA. pp 21–124
Dubois D, Prade H (1978) Operations on fuzzy numbers. Int J Syst Sci 9:613–626
Ghorui N, Ghosh A, Algehyne EA, Mondal SP, Saha AK (2020) AHP-TOPSIS inspired shopping mall site selection problem with fuzzy data. Mathematics 8(8):1380
Ghorui N, Ghosh A, Mondal SP, Bajuri MY, Ahmadian A, Salahshour S, Ferrara M (2021) Identification of dominant risk factor involved in spread of COVID-19 using hesitant fuzzy MCDM methodology. Results Phys 21:103811
Giri SK, Garai T, Garg H, Islam S (2021) Possibilistic mean of generalized non-linear intuitionistic fuzzy number to solve a price and quality dependent demand multi-item inventory model. Comput Appl Math 40(4):1–24
Hwang CL, Yoon K (1981) Methods for multiple attribute decision making. In: Multiple attribute decision making (pp 58–191). Springer, Berlin, Heidelberg
Jatoth C, Gangadharan GR, Fiore U, Buyya R (2019) SELCLOUD: a hybrid multi-criteria decision-making model for selection of cloud services. Soft Comput 23(13):4701–4715
Jeong HY (2013) The QoS-based MCDM system for SaaS ERP applications with social network. J Supercomput 66(2):614–632
Kumar RR, Mishra S, Kumar C (2017) Prioritizing the solution of cloud service selection using integrated MCDM methods under Fuzzy environment. J Supercomput 73(11):4652–4682
Le S, Dong H, Hussain FK, Hussain OK, Ma J, Zhang Y (2014, July) Multicriteria decision making with fuzziness and criteria interdependence in cloud service selection. In: 2014 ieee international conference on fuzzy systems (FUZZ-IEEE) (pp 1929–1936). IEEE
Lee S, Seo KK (2016) A hybrid multi-criteria decision-making model for a cloud service selection problem using BSC, fuzzy Delphi method and fuzzy AHP. Wireless Pers Commun 86(1):57–75
Li DF (2010) A ratio ranking method of triangular intuitionistic fuzzy numbers and its application to MADM problems. Comput Math Appl 60(6):1557–1570
Maiti SK, Roy SK (2021) Bi-level programming for Stackelberg game with intuitionistic fuzzy number: a ranking approach. J Operat Res Soc China 9(1):131–149
Maity S, De SK, Prasad Mondal S (2019) A study of an EOQ model under Lock fuzzy environment. Mathematics 7(1):75
Maity S, Chakraborty A, De SK, Mondal SP, Alam S (2020) A comprehensive study of a backlogging EOQ model with nonlinear heptagonal dense fuzzy environment. RAIRO Recherche Opérationnelle 54:267–286
Maity S, De SK, Mondal SP (2020b) A study of a backorder EOQ model for cloud-type intuitionistic dense fuzzy demand rate. Int J Fuzzy Syst 22(1):201–211
Mondal SP (2016) Differential equation with interval valued fuzzy number and its applications. Int J Syst Assur Eng Manag 7(3):370–386
Mondal SP (2018) Interval valued intuitionistic fuzzy number and its application in differential equation. J Intell Fuzzy Syst 34(1):677–687
Mondal SP, Roy TK (2014) First order homogeneous ordinary differential equation with initial value as triangular intuitionistic fuzzy number. J Uncertain Math Sci 2014:1–17
Mondal SP, Roy TK (2015) Second order linear differential equations with generalized trapezoidal intuitionistic Fuzzy boundary value. J Linear Topol Algebra (JLTA) 4(02):115–129
Mondal SP, Mandal M, Mahata A, Roy TK (2018) Integral equations with pentagonal intuitionistic fuzzy numbers. Notes Intuitionistic Fuzzy Sets 24:40–52
Mondal SP, Goswami A, Kumar De S (2019) Nonlinear triangular intuitionistic fuzzy number and its application in linear integral equation. Adv Fuzzy Syst
Nasir VK, Beenu VP (2021) Unbalanced transportation problem with pentagonal intuitionsitic fuzzy number solved using ambiguity index. Malaya J Matematik (MJM) 9(1):720–724
Parvathi R, Malathi C (2012) Arithmetic operations on symmetric trapezoidal intuitionistic fuzzy numbers. A A 1:1
Pathinathan T, Minj A (2018) Symmetric pentagonal intuitionistic fuzzy number. Int J Curr Adv Res 7(1):10–15
Ponnialagan D, Selvaraj J, Velu LGN (2018) A complete ranking of trapezoidal fuzzy numbers and its applications to multi-criteria decision making. Neural Comput Appl 30(11):3303–3315
Rahaman M, Mondal SP, Algehyne EA, Biswas A, &Alam S (2021) A method for solving linear difference equation in Gaussian fuzzy environments. Granular Computing, 1–14
Rezvani S (2013) Ranking method of trapezoidal intuitionistic fuzzy numbers. Ann Fuzzy Math Inform 5(3):515–523
Sahu K, Alzahrani FA, Srivastava RK, Kumar R (2020) Hesitant fuzzy sets based symmetrical model of decision-making for estimating the durability of web application. Symmetry 12(11):1770
Subramanian T, Savarimuthu N (2016) Cloud service evaluation and selection using fuzzy hybrid MCDM approach in marketplace. Int J Fuzzy Syst Appl (IJFSA) 5(2):118–153
Tanoumand N, Ozdemir DY, Kilic K, Ahmed F (2017, July) Selecting cloud computing service provider with fuzzy AHP. In: 2017 IEEE international conference on fuzzy systems (FUZZ-IEEE) (pp 1–5). IEEE
Tudu S, Mondal SP, Ahmadian A, Mahmood AK, Salahshour S, Ferrara M (2021) Solution of generalised type–2 fuzzy boundary value problem. Alex Eng J 60(2):2725–2739
Vashishtha S, Susan S (2022) Neuro-fuzzy network incorporating multiple lexicons for social sentiment analysis. Soft Comput 26(9):4487–4507
Wang JQ, Nie R, Zhang HY, Chen XH (2013) New operators on triangular intuitionistic fuzzy numbers and their applications in system fault analysis. Inf Sci 251:79–95
Wang W, Tian G, Zhang T, Jabarullah NH, Li F, Fathollahi-Fard AM, Li Z (2021) Scheme selection of design for disassembly (DFD) based on sustainability: a novel hybrid of interval 2-tuple linguistic intuitionistic fuzzy numbers and regret theory. J Clean Prod 281:124724
Wibowo S, Deng H, Xu W (2016) Evaluation of cloud services: a fuzzy multi-criteria group decision making method. Algorithms 9(4):84
Wind Y, Saaty TL (1980) Marketing applications of the analytic hierarchy process. Manag Sci 26(7):641–658
Xu W, Yu Y, Zhang Q (2018) An evaluation method of comprehensive product quality for customer satisfaction based on intuitionistic fuzzy number. Dis Dyn Nat Soc
Zadeh LA (1965) Fuzzy sets. Inf Control 8(5):338–353
Zavadskas EK, Kaklauskas A, Sarka V (1994) The new method of multicriteria complex proportional assessment of projects. Technol Econ Dev Econ 1(3):131–139
Zhang L (2018, June) Intuitionistic fuzzy averaging Schweizer-Sklar operators based on interval-valued intuitionistic fuzzy numbers and its applications. In: 2018 Chinese control and decision conference (CCDC) (pp 2194–2197). IEEE
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Ghorui, N., Mondal, S.P., Chatterjee, B. et al. Selection of cloud service providers using MCDM methodology under intuitionistic fuzzy uncertainty. Soft Comput 27, 2403–2423 (2023). https://doi.org/10.1007/s00500-022-07772-8
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DOI: https://doi.org/10.1007/s00500-022-07772-8