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


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