1
Research Scholar, School of Mathematics, Madurai Kamaraj University and Assistant Professor, Department of Mathematics, SSM Institute of Engineering and Technology, Dindigul, Tamil Nadu, India.
(sudhasikkanan@gmail.com)
2
Department of Mathematics, Arul Ananda College(Autonomous),Karumathur, India.
(nivetha.martin710@gmail.com)
3
Department of Mathematics, Mount Carmel College (Autonomous), Bengaluru, Karnataka, Tamil Nadu, India.
(arjoemi@gmail.com)
4
Department of Mathematics, Erode Sengunthar Engineering College, Perundurai, Tamil Nadu, India.
(palani-mani@gmail.com)
5
Ph.D Research Scholar, Department of Mathematics, Dr. N.G.P Arts and Science College, Coimbatore, Tamil Nadu, India.
(thirunakkani2022@gmail.com)
6
Sree Vidyanikethan Engineering College, Chitoor, Andra Predesh, India.
(ranjitha.b@vidyanikethan.edu)
Abstract :
The environmental disarray caused by plastic usage alarms the world leaders to join hands in making coordinated efforts in creating a green globe to support environment for the future generation. The responsibility of promoting environmental sustainability is not confined to government alone as all the producer companies have equal share in mitigating the plastic waste. One of the ideal strategies of environmental conservation practiced by many of the nations at recent times is extended producer’s responsibility (EPR). This research work purposes in building a multi-criteria decision-making model integrating the methods of MACBETH (Measuring attractiveness through a categorical-based evaluation technique) and MAIRCA (Multi Attributive Ideal-Real Comparative Analysis) in plithogenic environment to make optimal decisions on the plastic recycling methods subjected to four core criteria in EPR context. The efficiency of the newly developed integrated model is determined by comparing the model with other models integrating MAIRCA with the methods of CRITIC (CRiteria Importance Through Intercriteria Correlation) & FUCOM (Full Consistency Method). The sensitivity analysis helps in listing the merits and limitations of the proposed integrated model and also the consistency of the criterion weights and the ranking of the alternatives are checked.
Keywords :
Plithogeny; Decision-making; MACBETH; MAIRCA; EPR; sustainability
References :
[1] Smarandache, F. Neutrosophic set, A Generalization of the Intuitionistic Fuzzy Set, International Journal of Pure and Applied Mathematics, Vol. 24, No. 3, 287-297.2005.
[2] Zaki, S., & Ismail, M, Interval-Valued Neutrosophic Hypersoft Sets (IVNHSs) for enterprise resource planning selection. Journal of Neutrosophic and Fuzzy Systems, 5(2), 60-70,2023.
[3] Şahin, R., & Liu, P, Correlation coefficient of single-valued neutrosophic hesitant fuzzy sets and its applications in decision making. Neural Computing and Applications, 28, 1387-1395,2017.
[4] Maria, C. B., Ximena, I. Q., & Javier, P. P, Multi-Criteria Data Analysis with Interval-Valued Neutrosophic Sets to Decrease Plastic Pollution rivers. International Journal of Neutrosophic Science (IJNS), 19(1), 2022.
[5] Geetha, N. K., & Bridjesh, P. (2021). Combinatorial rough neutrosophic multi attribute decision making approach for selection of waste plastic oil–Diesel blends. Materials Today: Proceedings, 37, 979-981.
[6] Smarandache, F.. Plithogeny, Plithogenic Set, Logic, Probability and Statistics, preprint arXiv:1808.03948. 2018., https://doi.org/10.48550/arXiv.1808.03948
[7] Valério A. P. Salomon. An Example on the Unreliability of MACBETH Applications., 4th International Conference on Production Research - ICPR Americas. 2008.
[8] Diala Dhouib. An extension of MACBETH method for a fuzzy environment to analyze alternatives in reverse logistics for automobile tire wastes., Omega (Elsevier), 42, 25-32.2014 https://dx.doi.org/10.1016/j.omega.2013.02.003
[9] Boral, S., Howard, I., Chaturvedi, S. K., McKee, K., &Naikan, V. N. A. An integrated approach for fuzzy failure modes and effects analysis using fuzzy AHP and fuzzy MAIRCA. Engineering Failure Analysis, 108, 104195. 2020. https://doi.org/10.1016/j.engfailanal.2019.104195
[10] Zhu G. N., Ma J., & Hu J. Evaluating biological inspiration for biologically inspired design: An integrated DEMATEL‐MAIRCA based on fuzzy rough numbers. International Journal of Intelligent Systems, 36(10), 6032-6065.2021.
[11] Fatih Ecer. An extended MAIRCA method using intuitionistic fuzzy sets for coronavirus vaccine selection in the age of COVID-19., Neural Computing and Applications, 34:5603–5623. 2022. https://doi.org/10.1007/s00521-021-06728-7.
[12] Dragan Pamucar, Muhammet Deveci, Dorin Schitea, Levent Eris kin, Mihaela Iordache, IoanIordache. Developing a novel fuzzy neutrosophic numbers-based decision-making analysis for prioritizing the energy storage technologies. International journal of hydrogen energy, vl-45. 2020. https://doi.org/10.1016/j.ijhydene.2020.06.016
[13] Haq, R. S. U., Saeed, M., Mateen, N., Siddiqui, F., & Ahmed, S. (2023). An interval-valued neutrosophic based MAIRCA method for sustainable material selection. Engineering Applications of Artificial Intelligence, 123, 106177.
[14] Abdullah Ozcil., Aysegul Tus., Gulin Zeynep Oztas., Esra Aytac Adali & Tayfun Oztas., The Novel Integrated Model of Plithogenic Sets and MAIRCA Method for MCDM problems. International Conference on Intelligent and fuzzy systems. 733-741. 2020. doi:10.1007/978-3-030-51156-2_85
[15] Lindhqvist T. Extended Producer Responsibility in Cleaner Production. The International Institute for Industrial Environmental Economics. Sweden, Lund: Lund University. 2000.
[16] Yamini Gupt and Samraj Sahay. Review of extended producer responsibility: A case study approach., Waste Management & Research. 2015.DOI: 10.1177/0734242X15592275
[17] Mahendran S., Mahadevan M.L. Prioritization of Plastic Recycling Process Using Analytical Hierarchy Process., International Colloquium on Materials, Manufacturing and Metrology. 2014.
[18] Muhammad Riaz, Dragan Pamucar, Anam Habib, Mishal Riaz. A New TOPSIS Approach Using Cosine Similarity Measures and Cubic Bipolar Fuzzy Information for Sustainable Plastic Recycling Process., Hindawi Mathematical Problems in Engineering, Article ID 4309544, 18 pages. 2021.
[19] Vinodh S., Prasanna M., Hari Prakash N. Integrated fuzzy AHP- TOPSIS for selecting the best plastic recycling method: A Case Study., Appl. Math. Modelling.2014.
[20] Nirmala, Uthra. Fuzzy AHP- Goal Programming Technique for Selecting the Best Plastic Waste Management Method. International Journal of Mathematics Trends and Technology. 55. 388-392.2018.
[21] Saurav Bhagat, Avdesh Bhardawaj, Piyush Mittal, Prateek Chandak, Mohammad Akhtar, Paaras Sharma., Evaluating Plastic Waste Disposal Options in Delhi using Multi Criteria Decision Analysis., IIOAB Journal.2016.
[22] Nirmala and Uthara. Selecting Best plastic recycling method using trapezoidal linguistic Fuzzy Reference Relation., International Journal of Civil Engineering and Technology (IJCIET) Volume 8, Issue 6, pp. 850–855. 2017.
[23] Ali Utku Akar., Sukran Yalpir., Suleyman Sisman,Gamze Goktepeli., Esra Yel. A deterministic approach in waste management: delineation of potential territories in Turkey for industrial symbiosis of olive pomace, marble wastes and plastics by integrating Fuzzy AHP to GIS. Environment, Development and Sustainability.2022. https://doi.org/10.1007/s10668-022-02415-2
[24] Dragan Pamucar, ŽeljkoStevic., Sinisa Sremac. A New Model for Determining Weight Coefficients of Criteria in MCDM Models: Full Consistency Method (FUCOM)., Symmetry, 10, 393,2018. “doi:10.3390/sym10090393”.
[25] Diakoulaki, Danae, George Mavrotas, and Lefteris Papayannakis. Determining objective weights in multiple criteria problems: The CRITIC method. Computers & Operations Research 22.7: 763-770. 1995. https://doi.org/10.1016/0305-0548(94)00059-H
[26] Solairaju A and Shajahan M,. Transforming Neutrosophic Fuzzy Set into Fuzzy Set by Imprecision Method, Journal of Computer and Mathematical Sciences, Vol.9(10),1392-1399.2018.
| Style | # |
|---|---|
| MLA | S. Sudha, Nivetha Martin, M. Clement Joe Anand , P. G. Palanimani, T. Thirunamakkani, B. Ranjitha. "MACBETH-MAIRCA Plithogenic Decision-Making on Feasible Strategies of Extended Producer's Responsibility towards Environmental Sustainability." International Journal of Neutrosophic Science, Vol. 22, No. 2, 2023 ,PP. 114-130 (Doi : https://doi.org/10.54216/IJNS.220210) |
| APA | S. Sudha, Nivetha Martin, M. Clement Joe Anand , P. G. Palanimani, T. Thirunamakkani, B. Ranjitha. (2023). MACBETH-MAIRCA Plithogenic Decision-Making on Feasible Strategies of Extended Producer's Responsibility towards Environmental Sustainability. Journal of International Journal of Neutrosophic Science, 22 ( 2 ), 114-130 (Doi : https://doi.org/10.54216/IJNS.220210) |
| Chicago | S. Sudha, Nivetha Martin, M. Clement Joe Anand , P. G. Palanimani, T. Thirunamakkani, B. Ranjitha. "MACBETH-MAIRCA Plithogenic Decision-Making on Feasible Strategies of Extended Producer's Responsibility towards Environmental Sustainability." Journal of International Journal of Neutrosophic Science, 22 no. 2 (2023): 114-130 (Doi : https://doi.org/10.54216/IJNS.220210) |
| Harvard | S. Sudha, Nivetha Martin, M. Clement Joe Anand , P. G. Palanimani, T. Thirunamakkani, B. Ranjitha. (2023). MACBETH-MAIRCA Plithogenic Decision-Making on Feasible Strategies of Extended Producer's Responsibility towards Environmental Sustainability. Journal of International Journal of Neutrosophic Science, 22 ( 2 ), 114-130 (Doi : https://doi.org/10.54216/IJNS.220210) |
| Vancouver | S. Sudha, Nivetha Martin, M. Clement Joe Anand , P. G. Palanimani, T. Thirunamakkani, B. Ranjitha. MACBETH-MAIRCA Plithogenic Decision-Making on Feasible Strategies of Extended Producer's Responsibility towards Environmental Sustainability. Journal of International Journal of Neutrosophic Science, (2023); 22 ( 2 ): 114-130 (Doi : https://doi.org/10.54216/IJNS.220210) |
| IEEE | S. Sudha, Nivetha Martin, M. Clement Joe Anand, P. G. Palanimani, T. Thirunamakkani, B. Ranjitha, MACBETH-MAIRCA Plithogenic Decision-Making on Feasible Strategies of Extended Producer's Responsibility towards Environmental Sustainability, Journal of International Journal of Neutrosophic Science, Vol. 22 , No. 2 , (2023) : 114-130 (Doi : https://doi.org/10.54216/IJNS.220210) |