Abstract
In spite of other uses of the term “mathematical programming” it shall be interpreted here as it is normally done in Operations Research, i.e. an algorithmic approach to solving models of the type
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References
Behringer, F.A. [1977]. Lexicographic Quasiconcave Multiobjective Programming. In: Z. Operations Research 21, pp. 103–116.
Behringer, F.A. [1981]. A Simplex Based Agorithm for the Lexicographically Extended Linear Maxmin Problem. In: European Journal of Operational Research 7, pp. 274–283.
Bellman, R.E.; Zadeh, L.A. [1970]. Decision-making in a Fuzzy Environment. In: Management Science 17, pp. B141–164.
Buckley, J.J. [1989]. Solving Possibilistic Linear Programming Problems. In: Fuzzy Sets and Systems 31, pp. 329–341.
Buckley, J.J. [1990]. Stochastic Versus Possibilistic Programming. In: Fuzzy Sets and Systems 34, pp. 173–177.
Buckley, J.J. [1990]. Multiobjective Possibilistic Linear Programming. In: Fuzzy Sets and Systems 35, pp. 23–28.
Campos, L. [1989]. Fuzzy Linear Programming Models to Solve Fuzzy Matrix Games. In: Fuzzy Sets and Systems 32, pp. 275–289.
Chanas, S. [1983]. The Use of Parametric Programming in Fuzzy Linear Programming. In: Fuzzy Sets and Systems, pp. 243–251.
Chanas, S. [1989]. Fuzzy Programming in Multiobjective Linear Programming -A Parametric Approach. In: Fuzzy Sets and Systems 29, pp. 303–313.
Chang, L.L. [1975]. Interpretation and Execution of Fuzzy Programs. In: Zadeh et al. (eds.) 1975, pp.191–218.
Delgado, M.; Verdegay, J.L.; Vila, M.A. [1989]. A General Model for Fuzzy Linear Programming. In: Fuzzy Sets and Systems 29, pp. 21–29.
Dubois, D. [1984]. Linear Programming with Fuzzy Data. In: Bezdek, J.C.(ed.), analysis of Fuzzy Information, Vol. III - Applications in Engineering and Science, Boca Raton 1987.
Ernst, E. [1982]. Fahrplanerstellung und Umlaufdisposition im Containerschiffsverkehr (Diss. RWTH Aachen) Frankfurt/M., Bern.
Fabian, L.; Stoica, M. [1984]. Fuzzy Integer Programming. In: Zimmermann etal. (Eds.) 1984, pp. 123–132.
Fullér, R. [1989]. On Stability in Fuzzy Linear Programming Problems. In: Fuzzy Sets and Systems 30, pp. 339–344.
Hamacher, H.; Leberling, H.; Zimmermann, H.-J. [1978] Sensitivity Analysis in Fuzzy Linear Programming. In: Fuzzy Sets and Systems 1, pp. 269–281.
Hannan, E.L. [1981]. Linear Programming with Multiple Fuzzy Goals. In: Fuzzy Sets and Systems 6, pp. 235–248.
Hintz, G.-W., Zimmermann, H.-J. [1989]. A Method to Control Flexible Manufacturing Systems. In: European Journal of Operations Research 41, pp. 321–334.
Holtz, M.;Desonski, Dr. [1981]. Fuzzy-Model für Instandhaltung. In: Unscharfe Modellbildung und Steuerung IV, Karl-Marx- Stadt, pp.54–62.
Inuiguchi, M.; Ichihashi, H.; Kume, Y. [1990]. A Solution Algorithm for Fuzzy Linear Programming with Piecewise Linear Membership Functions. In: Fuzzy Sets and Systems 34, pp. 15–31.
Leberling, H. [1981]. On Finding Compromise Solutions in Multicriteria Problems Using the Fuzzy Min-Operator. In: Fuzzy Sets and Systems 6, pp. 105–118.
Luhandjula, M.K. [1984]. Fuzzy Approaches for Multiple Objective Linear Fractional Optimization. In: Fuzzy Sets and Systems 13, pp.11–24.
Nickels, W. [1990]. Ein wissensbasiertes System zur Produktionsplanung and - steuerung in der Papierindustrie (Diss. RWTH Aachen), VDI Fortschritt-Berichte DĂĽsseldorf.
Orlovski, S.A. [1985]. Mathematical Programming Problems with Fuzzy Parameters. In: Kacprzyk, J. and Yager, R.R.(eds.), Management Decision Support Systems using Fuzzy Sets and Possibility Theory, Köln 1985, pp. 136–145.
Orlovski, S.A. [1977]. On Programming with Fuzzy Constraint Sets. In: Kybernetes 6, pp. 197–201.
Ostasiewicz, W. [1982]. A New Approach to Fuzzy Programming. In: Fuzzy Sets and Systems 7, pp. 139–152.
RamĂk, J.; RĂmánek, J. [1985]. Inequality Relation between Fuzzy Numbers and its Use in Fuzzy Optimization. In: Fuzzy Sets and Systems 16, pp. 123–138.
Rödder, W.; Zimmermann, H.—J. [1980]. Duality in Fuzzy Linear Programming. In: Fiacco, A.V.; Kortanek, K.O. (Eds.), Extremal Methods and Systems Analyses, New York, pp. 415–429.
Rommelfanger, H.; Hanuscheck, R.; Wolf, J. [1989]. Linear Programming with Fuzzy Objectives. In: Fuzzy Sets and Systems 29, pp. 31–48.
Rubin, P.A.; Narasimhan, R. [1984]. In: Fuzzy Sets and Systems 14, pp. 115–130.
Sakawa, M.; Yano, H. [1989]. Interactive Decision Making for Multiobjective Nonlinear Programming Problems with Fuzzy Parameters. In: Fuzzy Sets and Systems 29, pp. 315–326.
Sakawa, M., Yano, H. [1989]. An Interactive Fuzzy Satisficing Method for Multiobjective Nonlinear Programming Problems with Fuzzy Parameters. In: Fuzzy Sets and Systems 30, pp. 221–238.
Sakawa, M.; Yano, H. [1990]. An Interactive Fuzzy Satisficing Method for Generalized Multiobjective Linear Programming Problems with Fuzzy Parameters. In: Fuzzy Sets and Systems 35, pp. 125–142.
Tanaka, H.; Asai, K. [1984]. Fuzzy Linear Programming Problems with Fuzzy Numbers. In: Fuzzy Sets and Systems 13, pp. 1–10.
Tanaka, H.; Ichihashi, H.; Asai, K. [1985]. Fuzzy Decision in Linear Programming Problems with Trapezoid Fuzzy Parameters. In: Kacprzyk, J. and Yager, R.R.(eds.), Management Decision Support Systems using Fuzzy Sets and Possibility Theory, Köln 1985, pp. 146–154.
Tanaka, H.; Mizumoto, M. [1975]. Fuzzy Programs and their Execution. In: Zadeh et al. (Eds.), pp. 41–76.
Tanaka, H.; Okuda, T.; Mai, K. [1974]. On Fuzzy Mathematical Programming. In: Journal of Cybernetics 3, pp. 37–46.
Thole, U.; Zimmermann, H.-J.; Zysno, P. [1979]. On the Suitability of Minimum and Product Operators for the Intersection of Fuzzy Sets. In: Fuzzy Sets and Systems 2, pp. 167–180.
Verdegay, J.L. [1984]. A Dual Approach to Solve the Fuzzy Linear Programming Problem. In: Fuzzy Sets and Systems 14, pp.131–141.
Werners, B. [1984]. Interaktive EntscheidungsunterstĂĽtzung durch ein flexibles mathematisches Programmierungssystem (Diss. RWTH Aachen), MĂĽnchen.
Werners, B. [1987]. Interactive Multiple Objective Programming Subject to flexible Constraints. In: European Journal of Operational Research 31, pp. 324–349.
Werners, B. [1988]. Aggregation Models in Mathematical Programming. In: Mitra, G. (ed.), Mathematical Models for Decision Support, Berlin, Heidelberg, New York, pp. 295–305.
Wiedey, G.; Zimmermann, H.-J. [1978]. Media Selection and Fuzzy Linear Programming. In: Journal of the Operational Society 29, pp. 1071–1084.
Yano, H.; Sakawa, M. [1989]. Interactive Fuzzy Decision Making for Generalized Multiobjective Linear Fractional Programming Problems with Fuzzy Parameters. In: Fuzzy Sets and Systems 32, pp. 245–261.
Zadeh, L.A.; Fu, KS.; Tanaka, K.; Simura, M. (Eds.). [1975]. Fuzzy Sets and their Applications to Cognitive and Decision Processes, New York.
Zimmermann, H.-J. [1976]. Description and Optimization of Fuzzy Systems. In: International Journal of General Systems 2, pp. 209–215.
Zimmermann, H.-J. [1978], Fuzzy Programming and Linear Programming with Several Objective Functions. In: Fuzzy Sets and Systems 1, pp. 45–55.
Zimmermann, H.-J. [1990]. Fuzzy Set Theory - and its Applications (Rev. Ed.), Boston, Dordrecht, Lancaster.
Zimmermann, H.-J. [1986]. Fuzzy Set Theory and Mathematical Programming. In: Jones, A. et al. (eds.), Fuzzy Sets Theory and Applications, pp.99–114.
Zimmermann, H.-J. [1987]. Fuzzy Sets, Decision Making and Expert Systems, Boston, Dordrecht, Lancaster.
Zimmermann, H.-J. (with Hermanns, Kaffenberger, Rödder, Selter, Stilianakis)[1986]. Lack-und Farbmischungen zu minimalen Kosten. In: Farbe & Lack 92, pp.379–382.
Zimmermann, H.-J.; Pollatschek, M.A. [1984]. Fuzzy 0–1 Programs. In: Zimmermann, Zadeh Gaines (eds.). Fuzzy Sets and Decision Analysis, Amsterdam, New York 1984. pp. 133–146.
Zimmermann, H.-J.; Zadeh, L.A.; Gaines, B.R. (Eds.) [1984]. Fuzzy Sets and Decision Analysis, New York.
Zimmermann, H.-J.; Zysno, P. [1980]. Latent Connectives in Human Decision Making. In: Fuzzy Sets and Systems, pp. 37–51.
Zimmermann, H.-J.; Zysno, P. [1983]. Decisions and Evaluations by Hierarchical Aggregation of Information. In: Fuzzy Sets and Systems 10, pp. 243–266.
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Zimmermann, HJ. (1992). Methods and Applications of Fuzzy Mathematical Programming. In: Yager, R.R., Zadeh, L.A. (eds) An Introduction to Fuzzy Logic Applications in Intelligent Systems. The Springer International Series in Engineering and Computer Science, vol 165. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3640-6_5
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