Warianty tytułu
Linear Programming with Intangibles
Języki publikacji
Abstrakty
Zagadnienia decyzyjne, występujące w gospodarce przestrzennej, gospodarce komunalnej i budownictwie związane są z występowaniem licznych czynników trudno mierzalnych. W celu ujęcia ich wpływu w analizie ilościowej można posłużyć się różnymi podejściami. W pracy dokonano przeglądu podejść, wykorzystujących programowanie linowe, przydatnych w rozwiązywaniu zagadnień rozważanego rodzaju.(abstrakt oryginalny)
Contemporary decision problems in spatial economy, public utilities and civil engineering are complex and multi-dimensional. This is due to influence of numerous conflicting interests and presence of intangible factors. Thus, application of appropriate tools is required for preparation of effective quantitative decisions. A survey of such approaches is presented in the paper. Special attention is drawn to different favors of linear programming-based methods. Both well-established approaches (Fuzzy LP and Possibilistic LP) and less popular (Relative PL) are discussed. A way of intangibility modelling, supported cases of problems and methods applied for their solution are included for each approach presented. (original abstract)
Rocznik
Numer
Strony
115--135
Opis fizyczny
Twórcy
Bibliografia
- Baptistella L.F.B., Ollero A., Fuzzy methodologies for interactive multicriteria optimization, "IEEE Transactions on Systems, Man and Cybernetics" 1980, vol. 10.
- Buckley J. J., Possibilistic linear programming with triangular fuzzy numbers, "Fuzzy Sets and Systems" 1988, vol. 26.
- Buckley J J., Solving possibilistic linear programming problems, "Fuzzy Sets and Systems" 1989, vol. 31.
- Carlsson C., Korhonen P., A parametric approach to fuzzy linear programming, "Fuzzy Sets and Systems" 1986, vol. 20.
- Chanas S., The use of parametric programming in FLP, "Fuzzy Sets and Systems" 1983, vol. 11.
- Delgado M,, Verdegay J.L., Vila M.A., Imprecise costs in mathematical programming problems, "Control and Cybernetics" 1987, vol. 16.
- Dubois D., Linear programming with fuzzy data, w:, Analysis of Fuzzy Information. Vol. III: Applications in Engineering and Sciences, ed. Bezdek J.C., CRC Press, Boca Raton 1987.
- Dytczak M., Czabak B.J., Rozmyte programowanie liniowe w podejmowaniu decyzji w szybko zmieniającym się otoczeniu, w: Międzynarodowa Konferencja Naukowa Otmuchów 2004 ,, Społeczne i ekologiczne uwarunkowania transformacji i integracji gospodarczej - problemy oporu wobec przemian", Opole 2004.
- Fabian C,, Stoica M., Fuzzy integer programming, w: Fuzzy Sets and Decision Analysis, ed. Zimmermann H.-J., Zadeh L.A., Gaines B.R., Elsevier Science, Amsterdam 1984.
- Fuller R.. On a special type of fuzzy linear programming, "Colloquia Mathematica Societatis Janos Bolyai" 1986, vol. 50.
- Lai Y.-L., Hwang C.-L., A new approach to some possibilistic linear programming problems, "Fuzzy Sets and Systems" 1992, vol. 49.
- Lai Y.-J., Hwang C.-L., Fuzzy Mathematical Programming. Methods and Applications. Springer-Verlag, 1993.
- Lu J., Zhang G., Ruan D., Wu F., Multi-Objective Group Decision Making. Methods, Software and Applications with Fuzzy Set Techniques, Series in Electrical and Computer Engineering, vol. 6., Imperial College Press, London 2007.
- Negi D.S., Fuzzy Analysis and Optimization. Ph.D. Dissertation. Dept. of I.E., Kansas State University 1989 [rozprawa doktorska],
- Ramik J., Rimanek J., Inequality relation between fuzzy numbers and its use in fuzzy optimization, "Fuzzy Sets and Systems" 1985, vol. 16.
- Rommelfanger H., Hanuscheck R., Wolf J., Linear programming with fuzzy objectives, "Fuzzy Sets and Systems" 1989, vol. 29.
- Saaty T.L., The Analytic Hierarchy Process: Planning, Priority Setting, Resource Allocation, McGraw-Hill, New York 1980.
- Saaty T.L., Vargas L.G., Dellmann K., The allocation of intangible resources: the analytic hierarchy process and linear programming, "Socio-Economic Planning Sciences" 2003, vol. 37.
- Sakawa M., Large scale Interactive Fuzzy Multiobjective Programming. Decomposition Approaches, Physica-Verlag, Heilderberg, New York 2000.
- Strona biblioteki GNU Linear Programming Toolkit w serwisie Freshmeat [online], dostępna w Internecie: http://themes.freshmeat.net/projects/glpk, dostęp: 15 listopada 2009 r.
- Strona oprogramowania GLPK Under Seite Extended Kit (GUSEK) w serwisie Source-Forge [online], dostępna w Internecie: http:// gusek.sourceforge.net, dostęp: 15 listopada 2009 r.
- Tanaka H., Ichihashi H., Asai K., A formulation of fuzzy linear programming problems based on comparison of fuzzy numbers, Control and Cybernetics 1984, vol. 13.
- Tanaka H., Okuda Т., Asai K., On fuzzy mathematical programming, "Journal of Cybernetics" 1974, vol. 3.
- Triantaphyllou E., Paradalos P.M., Mann S.H., A Minimization Approach to Membership Evaluation in Fuzzy Sets and Error Analysis, "Journal of Optimization Theory and Applications", vol. 66.
- Verdegay J.L., Fuzzy mathematical programming, w: Approximate Reasoning in Decision Analysis, ed. M.M. Gupta, E. Sanchez, North-Holland, Amsterdam 1982.
- Werners В., An interactive fuzzy programming system, "Fuzzy Sets and Systems" 1987, nr 23.
- Werners В., Interactive multiple objective programming subject to flexible constraints, "European Journal of Operational Research" 1988, vol. 31.
- Zadeh L.A., Fuzzy sets, "Information and Control" 1965, vol. 8.
- Zadeh L.A., Fuzzy sets as a basis for a theory of possibility, "Fuzzy Sets and Systems" 1978, vol. 1.
- Zimmermann H.-J., Description and optimization of fuzzy system, "International Journal of General System" 1976, vol. 2.
- Zimmermann H.-J., Fuzzy Sets, Decision Making and Expert Systems, Kluwer Academic, Norwell 1987.
- Zimmermann H.-J., Pollatschek M.A., Fuzzy 0-1 linear programming, w: Fuzzy Sets and Decision Analysis, ed. Zimmermann H.-J., Zadeh L.A., Gaines B.R., Elsevier Science, Amsterdam 1984.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ekon-element-000171383691