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Fuzzy Optimization on the Synthesis of Chitosan-Graft-Polyacrylic Acid with Montmorillonite as Filler Material: A Case Study

1
National Research Center for Disaster-Free and Safe Ocean City, Busan 49315, Republic of Korea
2
Department of Architectural Engineering, Dong-A University, Busan 49315, Korea
*
Author to whom correspondence should be addressed.
Co-first authors.
Polymers 2019, 11(4), 738; https://doi.org/10.3390/polym11040738
Received: 8 April 2019 / Revised: 19 April 2019 / Accepted: 21 April 2019 / Published: 23 April 2019
(This article belongs to the Special Issue Polymer Clay Nano-composites)
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Abstract

In this paper, the synthesis of a chitosan–montmorillonite nanocomposite material grafted with acrylic acid is presented based on its function in a case study analysis. Fuzzy optimization is used for a multi-criteria decision analysis to determine the best desirable swelling capacity (YQ) of the material synthesis at its lowest possible variable cost. For YQ, the integrating the result’s cumulative uncertainty is an essential element to investigate the feasibility of the developed model equation. The Pareto set analysis is able to set the appropriate boundary limits for YQ and the variable cost. Two case studies are presented in determining the lowest possible cost: Case 1 for maximum YQ, and Case 2 for minimum YQ. These boundary limits were used in the fuzzy optimization to determine its global optimum results that achieved the overall satisfaction ratings of 67.2% (Case 1) and 52.3% (Case 2). The synthesis of the polyacrylic acid/chitosan material for Case 1 resulted in 305 g/g YQ and 10.8 USD/kg, while Case 2 resulted in 97 g/g YQ and 12.3 USD/kg. Thus, the fuzzy optimization approach proves to be a practical method for examining the best possible compromise solution based on the desired function to adequately synthesize a material. View Full-Text
Keywords: ammonium persulfate; fuzzy optimization; N,N′-methylenebisacrylamide; Pareto set; polyacrylic acid; swelling capacity; variable cost ammonium persulfate; fuzzy optimization; N,N′-methylenebisacrylamide; Pareto set; polyacrylic acid; swelling capacity; variable cost
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Choi, A.E.S.; Futalan, C.M.; Yee, J.-J. Fuzzy Optimization on the Synthesis of Chitosan-Graft-Polyacrylic Acid with Montmorillonite as Filler Material: A Case Study. Polymers 2019, 11, 738.

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