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Fuzzy programming and linear programming with several objective functions. (English) Zbl 0364.90065

90C05Linear programming
03E70Nonclassical set theories
Full Text: DOI
[1] Bellman, R.; Zadeh, L. A.: Decision making in a fuzzy environment. Management sci. 17B, No. 4, 141-164 (1970) · Zbl 0224.90032
[2] Benayoun, R.; De Montgolfier, J.; Tergny, J.; Laritchev, O.: Linear programming with multiple objective functions: STEP method (STEM). Math. programming 1, 366-375 (1971) · Zbl 0242.90026
[3] Charnes, A.; Cooper, W. W.: Management models and industrial applications of linear programming. (1961) · Zbl 0107.37004
[4] Dyer, J. S.: Interactive goal programming. Management sci. 19, 62-70 (1972--1973) · Zbl 0257.90023
[5] Fandel, J.: Optimale entscheidung bei mehrfacher zielsetzung. Lecture notes in economics and mathematical systems 76 (1971)
[6] Geoffrion, A. M.; Dyer, J. S.; Feinberg, A.: An interactive approach for multi-criterion optimization with an application to the operation of an Academic department. Management sci. 19, 357-368 (1972/1973) · Zbl 0247.90069
[7] Geoffrion, A. M.: A parametric programming solution to the vector maximum problem with applications to decisions under uncertainty. 2 (1965)
[8] Hamacher, H.: Über logische verknüpfungen unscharfer aussagen und deren zugehörigen bewertungsfunktionen. Working paper no. 75/14 (1975)
[9] Kuhn, H. W.; Tucker, A. W.: Nonlinear programming. Proc. of 2nd Berkeley symp. On mathematical statistics and probabilities (1951) · Zbl 0044.05903
[10] Kuhn, H. W.; Tucker, A. W.; Geoffrion, A. M.: A parametric programming solution to the vector maximum problem. Technical report no. 11 (1965)
[11] Leberling, H.: Zür theorie der linearen vektormaximumprobleme. Dissertation (1977)
[12] Rödder, W.: On ’and’ and ’or’ connective in fuzzy set theory. Working paper no. 75/07 (1975)
[13] Rödder, W.; Zimmermann, H. -J.: Analyse, beschreibung und optimierung von unscharf formulierten problemen. Z. operations res. 21, 1-18 (1977) · Zbl 0397.90099
[14] Zadeh, L. A.: Fuzzy sets. Information and control 8, 338-353 (1965) · Zbl 0139.24606
[15] Zimmermann, H. -J.: Description and optimization of fuzzy systems. Int. J. General syst. 2, No. 4 (1975)
[16] Zimmermann, H. -J.: Optimale entscheidungen bei unscharfen problembeschreibungen. Z. ibp 27, 785-795 (1975)
[17] Zimmermann, H. -J.: DFG-forschungsbericht 1975/1976. (1976)
[18] Zionts, S.; Wallenus, J.: An interactive linear programming method for solving the multiple criteria problem. Working paper 74-10 (1975)