An Approach to Formulation of FNLP with Complex Piecewise Linear Membership Functions
Traditionally, extra binary variables are demanded to formulate a fuzzy nonlinear programming （FNLP） problem with piecewise linear membership functions （PLMFs）. However, this kind of methodology usually suffers increasing computational burden associated with formulation and solution, particularly in...
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| Published in: | Chinese journal of chemical engineering Vol. 22; no. 4; pp. 411 - 417 |
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| Format: | Journal Article |
| Language: | English |
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Elsevier B.V
01.04.2014
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| ISSN: | 1004-9541, 2210-321X |
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| Abstract | Traditionally, extra binary variables are demanded to formulate a fuzzy nonlinear programming （FNLP） problem with piecewise linear membership functions （PLMFs）. However, this kind of methodology usually suffers increasing computational burden associated with formulation and solution, particularly in the face of complex PLMFs. Motivated by these challenges, this contribution introduces a novel approach free of additional binary variables to formulate FNLP with complex PLMFs, leading to superior performance in reducing computational complexity as well as simplifying formulation. A depth discussion about the approach is conducted in this paper, along with a numerical case study to demonstrate its potential benefits. |
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| AbstractList | Traditionally, extra binary variables are demanded to formulate a fuzzy nonlinear programming (FNLP) problem with piecewise linear membership functions (PLMFs). However, this kind of methodology usually suffers increasing computational burden associated with formulation and solution, particularly in the face of complex PLMFs. Motivated by these challenges, this contribution introduces a novel approach free of additional binary variables to formulate FNLP with complex PLMFs, leading to superior performance in reducing computational complexity as well as simplifying formulation. A depth discussion about the approach is conducted in this paper, along with a numerical case study to demonstrate its potential benefits. Traditionally, extra binary variables are demanded to formulate a fuzzy nonlinear programming （FNLP） problem with piecewise linear membership functions （PLMFs）. However, this kind of methodology usually suffers increasing computational burden associated with formulation and solution, particularly in the face of complex PLMFs. Motivated by these challenges, this contribution introduces a novel approach free of additional binary variables to formulate FNLP with complex PLMFs, leading to superior performance in reducing computational complexity as well as simplifying formulation. A depth discussion about the approach is conducted in this paper, along with a numerical case study to demonstrate its potential benefits. |
| Author | 闻博 李宏光 |
| AuthorAffiliation | School of Information Science and Technology, Beijing University of Chemical Technology, Beijing 100029, China |
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| Cites_doi | 10.1287/opre.1060.0277 10.1016/0165-0114(78)90031-3 10.1016/0165-0114(94)90252-6 10.1016/j.ejor.2011.12.030 10.1287/mnsc.3.4.407 10.1016/j.neucom.2007.03.001 10.1111/j.1540-5915.1980.tb01142.x 10.1016/0165-0114(91)90156-K 10.1016/0305-0548(92)90030-9 10.1016/j.wasman.2012.01.019 10.1109/TFUZZ.2006.886606 10.1016/S0165-0114(97)00053-5 10.1016/j.ejor.2007.10.060 10.1287/mnsc.17.4.B141 10.1016/0165-0114(81)90002-6 10.1016/0165-0114(91)90093-6 10.1016/S0165-0114(02)00100-8 |
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| Keywords | piecewise linear membership functions modeling fuzzy nonlinear programming |
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| Notes | Traditionally, extra binary variables are demanded to formulate a fuzzy nonlinear programming （FNLP） problem with piecewise linear membership functions （PLMFs）. However, this kind of methodology usually suffers increasing computational burden associated with formulation and solution, particularly in the face of complex PLMFs. Motivated by these challenges, this contribution introduces a novel approach free of additional binary variables to formulate FNLP with complex PLMFs, leading to superior performance in reducing computational complexity as well as simplifying formulation. A depth discussion about the approach is conducted in this paper, along with a numerical case study to demonstrate its potential benefits. WEN Bo ,LI Hongguang （School of Information Science and Technology, Beijing University of Chemical Technology, Beijing 100029, China） 11-3270/TQ fuzzy nonlinear programming, piecewise linear membership functions, modeling ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
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| SubjectTerms | Chemical engineering Computation Fuzzy Fuzzy logic fuzzy nonlinear programming Fuzzy set theory Mathematical analysis Mathematical models modeling Nonlinear programming piecewise linear membership functions 二进制 分段线性 模糊非线性规划 计算复杂性 配方 隶属函数 |
| Title | An Approach to Formulation of FNLP with Complex Piecewise Linear Membership Functions |
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