標題: | Method for solving quasi-concave and non-concave fuzzy multi-objective programming problems |
作者: | Yu, CS Li, HL 資訊管理與財務金融系 註:原資管所+財金所 Department of Information Management and Finance |
關鍵字: | fuzzy multi-objective programming;linear programming;non-concave;piecewise |
公開日期: | 1-九月-2001 |
摘要: | This paper proposes a method based on linear programming techniques to treat quasi-concave and non-concave fuzzy multi-objective programming (FMOP) problems. The proposed method initially presents a piecewise linear expression to interpreting a quasi-concave membership function. Then we find the convex-type break points acid transform all quasi-concave membership functions into concave functions. After that, the converted program is solved by linear programming techniques to obtain a global optimum. Tn addition to not containing any of the zero-one variables, the proposed method does not require dividing the quasi-concave FMOP problem into large sub-problems as in conventional methods. The extension of the proposed method can treat general non-concave FMOP problems by merely adding less number of zero-one variables. (C) 2001 Elsevier Science B.V. All rights reserved. |
URI: | http://dx.doi.org/10.1016/S0165-0114(99)00163-3 http://hdl.handle.net/11536/29428 |
ISSN: | 0165-0114 |
DOI: | 10.1016/S0165-0114(99)00163-3 |
期刊: | FUZZY SETS AND SYSTEMS |
Volume: | 122 |
Issue: | 2 |
起始頁: | 205 |
結束頁: | 227 |
顯示於類別: | 期刊論文 |