Picture fuzzy aggregation approach with application to third-party logistic provider selection process
Picture fuzzy sets (PFSs) are frequently composed of positive, neutral, and negative memberships and have the benefit of precisely capturing the preferences of decision makers (DMs). This paper introduces innovative picture fuzzy aggregation operators (AOs) based on fundamental operations, which have a number of advantages when dealing with real-world scenarios. Unpredictability and fuzziness coexist in decision-making analysis due to the complexity of the decision-making environment. ”Picture fuzzy numbers” (PFNs) outperform ”intuitionistic fuzzy numbers” (IFNs) when dealing with unclear input. This study proposes two aggregation operators (AOs): ”picture fuzzy hybrid weighted arithmetic geometric aggregation (PFHWAGA) operator” and ”picture fuzzy hybrid ordered weighted arithmetic geometric aggregation (PFHOWAGA) operator.” The proposed operators outperform the current PFN-defined operators. The proposed operator is utilised in the multi-criteria decision-making (MCDM) process to third-party logistic provider selection.
K. T. Atanassov (1986), Intuitionistic fuzzy sets, Fuzzy Sets Syst, 20(1), 87-96.
Z. Ali, T. Mahmood, K. Ullah, Q. Khan (2021), Einstein Geometric Aggregation Operators using a Novel Complex Interval-valued Pythagorean Fuzzy Setting with Application in Green Supplier Chain Management, Reports in Mechanical Engineering, 2(1), 105-134.
A. Ashraf, K. Ullah, A. Hussain, M. Bari (2022), Interval-Valued Picture Fuzzy Maclaurin Symmetric Mean Operator with application in Multiple Attribute Decision-Making, Reports in Mechanical Engineering, 3(1), 301-317.
D. Bozanic, A. Milic, D. Teic,W. Salabun, D. Pamucar (2021), D numbers FUCOM Fuzzy RAFSI model for selecting the group of construction machines for enabling mobility, Facta Universitatis, Series: Mechanical Engineering, 19(3), 447-471.
B. C. Cuong (2013a), Picture fuzzy sets-first results. part 1, seminar neuro-fuzzy systems with applications, Tech. rep., Institute of Mathematics, Hanoi.
B. C. Cuong (2013b), Picture fuzzy sets-first results. part 2, seminar neuro-fuzzy systems with applications, Tech. rep., Institute of Mathematics, Hanoi.
H. M. A. Farid, M. Riaz (2021), Some generalized q-rung orthopair fuzzy Einstein interactive geometric aggregation operators with improved operational laws, International Journal of Intelligent Systems, 36, 7239-7273.
H. M. A. Farid, M Riaz, M. J. Khan, P. Kumam, K. Sitthithakerngkiet (2022), Sustainable thermal power equipment supplier selection by Einstein prioritized linear Diophantine fuzzy aggregation operators, AIMS Mathematics, 7(6), 11201-11242.
H. Garg (2017), Some picture fuzzy aggregation operators and their applications to multicriteria decision-making, Arab. J. Sci. Eng, 42(12), 5275-5290.
S. Gul (2021), Fermatean fuzzy set extensions of SAW, ARAS, andVIKOR with application s in COVID-19 testing laboratoryselection problem, Expert Systems, https://doi.org/10.1111/exsy.12769.
C. Jana, T. Senapati, M. Pal, R. R. Yager (2019), Picture fuzzy Dombi aggregation operators: Application to MADM process, Appl. Soft Comput., 74, 99109.
C. Karamasa, D. Karabasevic, D. Stanujkic, A. Kookhdan, A. Mishra, M. Ertrk (2021), An extended single-valued neutrosophic AHP and MULTIMOORA method to evaluate the optimal training aircraft for flight training organizations, Facta Universitatis, Series: Mechanical Engineering, 19(3), 555-578.
N. Kazemitash, H. Fazlollahtabar, M. Abbaspour (2021), Rough Best-Worst Method for Supplier Selection in Biofuel Companies based on Green criteria, Operational Research in Engineering Sciences: Theory and Applications, 4(2), 1-12.
P. Liu and X. Qin (2017), Maclaurin symmetric mean operators of linguistic intuitionistic fuzzy numbers and their application to multiple-attribute decision-making, Journal of Experimental & Theoretical Artificial Intelligence, 29(6), 1173-1202.
Z. Mu, S. Zeng and P. Wang (2021), Novel approach to multi-attribute group decision-making based on interval-valued picture fuzzy power Maclaurin symmetric mean operator , Computers & Industrial Engineering, 155, 107049.
I. Mukhametzyanov (2021), Specific character of objective methods for determining weights of criteria in MCDM problems: Entropy, CRITIC and SD, Decision Making: Applications in Management and Engineering, 4(2), 76-105.