Abstract
The theory of modified geometric programming (MGP) was first proposed in 2005 by S. Islam and T. K. Roy. There are many references to applications and methods of MGP in the research paper by Roy and Islam, but they developed the problem under crisp environment.
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References
S. Islam, T.K. Roy, Modified geometric programming problem and its applications. J. Appt. Math. Comput. 17(1–2), 121–144 (2005)
S. Islam, T.K. Roy, A fuzzy EPQ model with flexibility and reliability consideration and demand dependent unit production cost under a space constraint: a fuzzy geometric programming approach. Appl. Math. Comput. 176(2), 531–544 (2006)
L. Liu, G.H. Huang, Y. Liu, G.A. Fuller, G.M. Zeng, A fuzzy-stochastic robust programming model for regional air quality management under uncertainty, engineering. Optimization 35, 177–199 (2003)
L.F. Mendoça, J.M. Sousa, J.M.G. Sá da Costa, Optimization problems in multivariable fuzzy predictive control. Int. J. Approximate Reasoning 36, 199–221 (2004)
D. Panda, M. Maiti, Multi-item inventory models with price dependent demand under flexibility and reliability consideration and imprecise space constraint: a geometric programming approach. Math. Comput. Model. 49, 1733–1749 (2009) (September 11, 2012 18:42 Atlantis Press Book - 9.75in x 6.5in book_Kahraman Bibliography 449)
D. Panda, S. Kar, M. Maiti, Multi-item EOQ model with hybrid cost parameters under fuzzy/fuzzy-stochastic resource constraints: a geometric programming approach. Comput. Math. Appl. 56, 2970–2985 (2008)
A.M. Wasim, S. Islam, Fuzzy unconstrained parametric geometric programming problem and its application. J. Fuzzy Set Valued Anal. 2016(2), 125–139 (2016). http://dx.doi.org/10.5899/2016/jfsva-00301
J.H. Yang, B.Y. Cao, Geometric programming with max-product fuzzy relation equation constraints, in Proceedings of the 24th North American Fuzzy Information Processing Society, Ann Arbor, Michigan, June 22–25, 650–653 (2005)
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Islam, S., Mandal, W.A. (2019). Fuzzy Unconstrained Modified Geometric Programming Problem. In: Fuzzy Geometric Programming Techniques and Applications. Forum for Interdisciplinary Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-13-5823-4_6
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DOI: https://doi.org/10.1007/978-981-13-5823-4_6
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