Abstract
In this paper, the concept and type of posynomial fuzzy relation geometric programming is introduced, some basic theories of posynomial fuzzy relation geometric programming is presented, and then a solution procedure is expatiated to solving such a programming based on structure of feasible region. And finally, two practical examples are given for illustration purpose.
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References
Bellmann, R., Zadeh, L.A.: Decision Making in Fuzzy Environment. Management Science 17(4), 141–164 (1970)
Sanchez, E.: Resolution of composite fuzzy relation equations. Inform. and Control 30, 38–48 (1976)
Wang, J.Y.: Fuzzy Relation Equations and Their applications. Hunan Science and Technology Press, Changsha (1991)
Fang, S.C., Li, G.Z.: Solving fuzzy relation with a linear objective function. Fuzzy Sets and Systems 103, 107–113 (1999)
Ghodousian, A., Khorram, E.: An algorithm for optimizing the linear function with fuzzy relation equation constraints regarding max-prod composition. Applied Mathematics and Computation 178, 502–509 (2006)
Lu, J.J., Fang, S.C.: Solving nonlinear optimization problems with fuzzy relation equation constraints. Fuzzy Sets and Systems 119, 1–20 (2001)
Higashi, M., Klir, G.J.: Resolution of finite fuzzy relation equations. Fuzzy Sets and Systems 13, 65–82 (1984)
Zhang, W.X.: The introduction of fuzzy mathematics. Xi’an Jiaotong University Publishing House, Xi’an (1991)
Wang, X.P.: Conditions Under Which a Fuzzy Relational Equation has Minimal Solutions in a Complete Brouwerian Lattice. Advances in Mathematics (China) 31(3), 220–228 (2002)
Wang, P.Z., Zhang, D.Z., Sanchez, E., Lee, E.S.: Latticized linear programming and fuzzy relation inequalities. Journal of mathematical analysis and applications 159(1), 72–87 (1991)
Avriel, M. (ed.): Advances in Geometric Programming. Mathematical Concept and Methods in Science and Engineering, vol. 21. Plenum Press, New York (1980)
Zimmermann, H.J.: Fuzzy Set Theory and Its applications. Kluwer-Nijhoff, Boston (1996)
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Yang, Jh., Cao, By. (2007). Posynomial Fuzzy Relation Geometric Programming. In: Melin, P., Castillo, O., Aguilar, L.T., Kacprzyk, J., Pedrycz, W. (eds) Foundations of Fuzzy Logic and Soft Computing. IFSA 2007. Lecture Notes in Computer Science(), vol 4529. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72950-1_56
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DOI: https://doi.org/10.1007/978-3-540-72950-1_56
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-72917-4
Online ISBN: 978-3-540-72950-1
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