Nonlinear fuzzy chance constrained programming problem
This paper addresses a general nonlinear fuzzy chance constrained programming problem ( FNCP ). Both the objective function and the constraints of the ( FNCP ) are associated with uncertainty in the form of randomness and fuzziness. The concept of fuzzy random variable, mean and variance of a fuzzy...
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| Vydáno v: | Opsearch Ročník 51; číslo 2; s. 270 - 279 |
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| Hlavní autoři: | , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
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India
Springer India
01.06.2014
Springer Nature B.V |
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| ISSN: | 0030-3887, 0975-0320 |
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| Abstract | This paper addresses a general nonlinear fuzzy chance constrained programming problem (
FNCP
). Both the objective function and the constraints of the (
FNCP
) are associated with uncertainty in the form of randomness and fuzziness. The concept of fuzzy random variable, mean and variance of a fuzzy random variable are used to develop a methodology to solve (
FNCP
). The methodology is explained through a numerical example. |
|---|---|
| AbstractList | This paper addresses a general nonlinear fuzzy chance constrained programming problem (FNCP). Both the objective function and the constraints of the (FNCP) are associated with uncertainty in the form of randomness and fuzziness. The concept of fuzzy random variable, mean and variance of a fuzzy random variable are used to develop a methodology to solve (FNCP). The methodology is explained through a numerical example. This paper addresses a general Nonlinear fuzzy chance constrained programming problem (FNCP). Both the objective function and the constraints of the (FNCP) are associated with uncertainty in the form of randomness and fuzziness. The concept of fuzzy random variable, mean and variance of a fuzzy random variable are used to develop a methodology to solve (FNCP). The methodology is explained through a numerical example. [PUBLICATION ABSTRACT] This paper addresses a general nonlinear fuzzy chance constrained programming problem ( FNCP ). Both the objective function and the constraints of the ( FNCP ) are associated with uncertainty in the form of randomness and fuzziness. The concept of fuzzy random variable, mean and variance of a fuzzy random variable are used to develop a methodology to solve ( FNCP ). The methodology is explained through a numerical example. |
| Author | Dash, Jayant Kumar Panda, Geetanjali |
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| Copyright | Operational Research Society of India 2013 Operational Research Society of India 2014 |
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| Keywords | Fuzzy optimization problem Fuzzy probability Fuzzy random variable Chance constrained programming |
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| References | LuhandjulaMKLinear programming under randomness and fuzzinessFuzzy Sets Syst.198310455510.1016/S0165-0114(83)80103-1 ZhongQYueZGuanyuanWOn fuzzy random linear programmingFuzzy Sets Syst.199465314910.1016/0165-0114(94)90245-3 BuckleyJJEslamiEUncertain probabilities -IISoft. Comput.2004819319910.1007/s00500-002-0262-y LiuBIwamuraKChance constrained programming with fuzzy parametersFuzzy Sets Syst.199894222723710.1016/S0165-0114(96)00236-9 WangGZhongQLinear programming with fuzzy random coefficientsFuzzy Sets Syst.19935729531110.1016/0165-0114(93)90025-D LiuBFuzzy random chance constrained programmingIEEE Trans. Fuzzy Syst.20019571372010.1109/91.963757 BuckleyJJFuzzy Probabilities: New Approach and Applications.2003HeidelbergPhysica-Verlag10.1007/978-3-642-86786-6 MohanCNguyenHTA fuzzifying approach to stochastic programmingOper. Res.1997347396 NandaSPandaGDashJKA new methodology for crisp equivalent of fuzzy chance constrained programming problemFuzzy Optim. Decis. Mak.20087597410.1007/s10700-007-9024-8 NandaSPandaGDashJKChance constrained programming with fuzzy inequality constraintsOpsearch20084513448 DashJKPandaGNandaSChance constrained programming under different distributationsIJOTMA2009115871 JK Dash (144_CR3) 2009; 1 JJ Buckley (144_CR1) 2003 B Liu (144_CR4) 2001; 9 S Nanda (144_CR8) 2008; 7 C Mohan (144_CR7) 1997; 34 MK Luhandjula (144_CR6) 1983; 10 Q Zhong (144_CR11) 1994; 65 S Nanda (144_CR9) 2008; 45 G Wang (144_CR10) 1993; 57 B Liu (144_CR5) 1998; 94 JJ Buckley (144_CR2) 2004; 8 |
| References_xml | – reference: BuckleyJJEslamiEUncertain probabilities -IISoft. Comput.2004819319910.1007/s00500-002-0262-y – reference: MohanCNguyenHTA fuzzifying approach to stochastic programmingOper. Res.1997347396 – reference: LuhandjulaMKLinear programming under randomness and fuzzinessFuzzy Sets Syst.198310455510.1016/S0165-0114(83)80103-1 – reference: BuckleyJJFuzzy Probabilities: New Approach and Applications.2003HeidelbergPhysica-Verlag10.1007/978-3-642-86786-6 – reference: ZhongQYueZGuanyuanWOn fuzzy random linear programmingFuzzy Sets Syst.199465314910.1016/0165-0114(94)90245-3 – reference: DashJKPandaGNandaSChance constrained programming under different distributationsIJOTMA2009115871 – reference: NandaSPandaGDashJKA new methodology for crisp equivalent of fuzzy chance constrained programming problemFuzzy Optim. Decis. Mak.20087597410.1007/s10700-007-9024-8 – reference: LiuBFuzzy random chance constrained programmingIEEE Trans. Fuzzy Syst.20019571372010.1109/91.963757 – reference: LiuBIwamuraKChance constrained programming with fuzzy parametersFuzzy Sets Syst.199894222723710.1016/S0165-0114(96)00236-9 – reference: WangGZhongQLinear programming with fuzzy random coefficientsFuzzy Sets Syst.19935729531110.1016/0165-0114(93)90025-D – reference: NandaSPandaGDashJKChance constrained programming with fuzzy inequality constraintsOpsearch20084513448 – volume-title: Fuzzy Probabilities: New Approach and Applications. year: 2003 ident: 144_CR1 doi: 10.1007/978-3-642-86786-6 – volume: 94 start-page: 227 issue: 2 year: 1998 ident: 144_CR5 publication-title: Fuzzy Sets Syst. doi: 10.1016/S0165-0114(96)00236-9 – volume: 9 start-page: 713 issue: 5 year: 2001 ident: 144_CR4 publication-title: IEEE Trans. Fuzzy Syst. doi: 10.1109/91.963757 – volume: 7 start-page: 59 year: 2008 ident: 144_CR8 publication-title: Fuzzy Optim. Decis. Mak. doi: 10.1007/s10700-007-9024-8 – volume: 1 start-page: 58 issue: 1 year: 2009 ident: 144_CR3 publication-title: IJOTMA – volume: 10 start-page: 45 year: 1983 ident: 144_CR6 publication-title: Fuzzy Sets Syst. doi: 10.1016/S0165-0114(83)80103-1 – volume: 34 start-page: 73 year: 1997 ident: 144_CR7 publication-title: Oper. Res. – volume: 45 start-page: 34 issue: 1 year: 2008 ident: 144_CR9 publication-title: Opsearch doi: 10.1007/BF03398803 – volume: 65 start-page: 31 year: 1994 ident: 144_CR11 publication-title: Fuzzy Sets Syst. doi: 10.1016/0165-0114(94)90245-3 – volume: 8 start-page: 193 year: 2004 ident: 144_CR2 publication-title: Soft. Comput. doi: 10.1007/s00500-002-0262-y – volume: 57 start-page: 295 year: 1993 ident: 144_CR10 publication-title: Fuzzy Sets Syst. doi: 10.1016/0165-0114(93)90025-D |
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| Snippet | This paper addresses a general nonlinear fuzzy chance constrained programming problem (
FNCP
). Both the objective function and the constraints of the (
FNCP
)... This paper addresses a general Nonlinear fuzzy chance constrained programming problem (FNCP). Both the objective function and the constraints of the (FNCP) are... This paper addresses a general nonlinear fuzzy chance constrained programming problem (FNCP). Both the objective function and the constraints of the (FNCP) are... |
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| SubjectTerms | Algebra Business and Management Constraints Fuzzy Fuzzy logic Fuzzy set theory Fuzzy sets Management Mathematical models Mathematical problems Mathematics Methodology Nonlinearity Operations research Operations Research/Decision Theory Programming Random variables Studies Theoretical Article |
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