Title: Multi-objective municipal solid waste management recycling problem in fuzzy-rough environment

Authors: Sutapa Pramanik; Kalipada Maity; Dipak Kumar Jana; Anupam Mukherjee

Addresses: Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, Pin-721102, WB, India ' Department of Mathematics, Mugberia Gangadhar Mahavidyalaya, Bhupatinagar, Purba Medinipur-721425, WB, India ' Department of Applied Science, Haldia Institute of Technology, Haldia Purba Midna Pur-721657, West Bengal, India ' Department of Chemical Engineering, Haldia Institute of Technology, WB, India

Abstract: In municipal solid waste (MSW) management, not only economic objectives but also environmental objectives are considered simultaneously. In this paper, a fuzzy rough (Fu-Ro) multi-objective municipal solid waste management problem (MMSWMP) is developed for supporting MSW management, associated greenhouse gas (GHG) emission control and recycling. Here, for the first time, three conflicting objectives are integrally considered, including minimisation of total system cost, minimisation of total GHG emissions from waste management facilities and maximisation of total revenue. The present MMSWMP improves upon the existing single or double objectives waste management optimisation models. Here imprecise cost parameters of the models are expressed as Fu-Ro variables. Some constraints of the system are expressed as chance constraints and Fu-Ro constraints. Multi-objective problem is transformed to single objective one through incorporation of fuzzy satisfying technique. Then it is solved as a general mixed-integer single-objective linear programming problem using a gradient-based optimisation technique - generalised reduced gradient method (Lingo-14.0). Representing different preferences of the decision makers for economic development and environmental-impact, four different planning models are formulated, solved, analysed and compared. The models are numerically illustrated and some sensitivity analysis are presented.

Keywords: municipal solid waste management; greenhouse gas emission control; recycling; fuzzy rough; fuzzy satisfying method.

DOI: 10.1504/IJPMB.2018.095054

International Journal of Process Management and Benchmarking, 2018 Vol.8 No.4, pp.443 - 469

Received: 01 Jul 2016
Accepted: 28 Oct 2016
Published online: 01 Oct 2018 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article