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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Published in:Opsearch Vol. 51; no. 2; pp. 270 - 279
Main Authors: Panda, Geetanjali, Dash, Jayant Kumar
Format: Journal Article
Language:English
Published: India Springer India 01.06.2014
Springer Nature B.V
Subjects:
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
Fuzzy optimization problem
Fuzzy probability
Fuzzy random variable
Chance constrained programming
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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  surname: Panda
  fullname: Panda, Geetanjali
  email: Geetanjali@maths.iitkgp.ernet.in
  organization: Department of Mathematics, Indian Institute of Technology
– sequence: 2
  givenname: Jayant Kumar
  surname: Dash
  fullname: Dash, Jayant Kumar
  organization: Department of Mathematics, Siksha’O’Anusandhan University
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10.1016/S0165-0114(96)00236-9
10.1109/91.963757
10.1007/s10700-007-9024-8
10.1016/S0165-0114(83)80103-1
10.1007/BF03398803
10.1016/0165-0114(94)90245-3
10.1007/s00500-002-0262-y
10.1016/0165-0114(93)90025-D
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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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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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