A Generalized Fuzzy Integer Programming Approach for Environmental Management under Uncertainty
Joint Authors
Fan, Y. R.
Huang, G. H.
Huang, K.
Jin, L.
Suo, M. Q.
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-09-25
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
In this study, a generalized fuzzy integer programming (GFIP) method is developed for planning waste allocation and facility expansion under uncertainty.
The developed method can (i) deal with uncertainties expressed as fuzzy sets with known membership functions regardless of the shapes (linear or nonlinear) of these membership functions, (ii) allow uncertainties to be directly communicated into the optimization process and the resulting solutions, and (iii) reflect dynamics in terms of waste-flow allocation and facility-capacity expansion.
A stepwise interactive algorithm (SIA) is proposed to solve the GFIP problem and generate solutions expressed as fuzzy sets.
The procedures of the SIA method include (i) discretizing the membership function grade of fuzzy parameters into a set of α-cut levels; (ii) converting the GFIP problem into an inexact mixed-integer linear programming (IMILP) problem under each α-cut level; (iii) solving the IMILP problem through an interactive algorithm; and (iv) approximating the membership function for decision variables through statistical regression methods.
The developed GFIP method is applied to a municipal solid waste (MSW) management problem to facilitate decision making on waste flow allocation and waste-treatment facilities expansion.
The results, which are expressed as discrete or continuous fuzzy sets, can help identify desired alternatives for managing MSW under uncertainty.
American Psychological Association (APA)
Fan, Y. R.& Huang, G. H.& Huang, K.& Jin, L.& Suo, M. Q.. 2014. A Generalized Fuzzy Integer Programming Approach for Environmental Management under Uncertainty. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-1044299
Modern Language Association (MLA)
Fan, Y. R.…[et al.]. A Generalized Fuzzy Integer Programming Approach for Environmental Management under Uncertainty. Mathematical Problems in Engineering No. 2014 (2014), pp.1-16.
https://search.emarefa.net/detail/BIM-1044299
American Medical Association (AMA)
Fan, Y. R.& Huang, G. H.& Huang, K.& Jin, L.& Suo, M. Q.. A Generalized Fuzzy Integer Programming Approach for Environmental Management under Uncertainty. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-1044299
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1044299