Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
Kumar, Kaur and Singh (2011), proposed a new method to find the exact fuzzy optimal solution of fully fuzzy linear programming (FFLP) problems with equality constraints. In this paper, an FFLP problem is chosen to show that the fuzzy optimal value, obtained by using the existing method, is not necessarily a unique fuzzy number i.e., the fuzzy optimal value of the FFLP problem, obtained by the existing method, does not conform to the uniqueness property of fuzzy optimal value. To overcome this shortcoming of the existing method, a new method is proposed for solving FFLP problems with equality constraints. To show the advantage of the proposed method the results of the chosen FFLP problem, obtained by using the existing and the proposed methods, are compared.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
497--508
Opis fizyczny
Bibliogr. 16 poz.
Twórcy
autor
autor
- School of Mathematics and Computer Applications Thapar University, Patiala, 147 004 India, sidhu.deepi87@gmail.com
Bibliografia
- Allahviranloo, T., Lotfi, F.H., Kiasary, M.K., Kiani, N.A. and Alizadeh, L. (2008) Solving fully fuzzy linear programming problem by the ranking function. Applied Matematical Sciences 2, 19-32.
- Bellman, R.E. and Zadeh, L.A. (1970) Decision making in a fuzzy environment. Management Science 17, 141-164.
- Buckley, J. and Feuring, T. (2000) Evolutionary algorithm solution to fuzzy problems: fuzzy linear programming. Fuzzy Sets and Systems 109, 35-53.
- Campos, L. and Verdegay, J.L. (1989) Linear programming problems and ranking of fuzzy numbers. Fuzzy Sets and Systems 32, 1-11.
- Ebrahimnejad, A., Nasseri, S.H., Lotfi, F.H. and Soltanifar, M. (2010) A prima-dual method for linear programming problems with fuzzy variables. European Journal of Industrial Engineering 4, 189-209.
- Ganesan, K. and Veeramani, P. (2006) Fuzzy linear programs with trapezoid al fuzzy numbers. Annals of Operations Research 143, 305-315.
- Hashemi, S.M., Modarres, M., Nasrabadi, E. and Nasrabadi, M.M. (2006) Fully fuzzified linear programming, solution and duality. Journal of Intelligent and Fuzzy Systems 17, 253-261.
- Kumar, A., Kaur, J. and Singh, P. (2011) A new method for solving Fuldy fuzzy linear programming problems. Applied Mathematical Modelling 35, 817-823.
- Kumar, A., Singh, P., Kaur, A. and Kaur, P. (2010) Ranking of generalized trapezoidal fuzzy numbers based on rank, mode, divergence and spread. Turkish Journal of Fuzzy Systems 2, 141-152.
- Lotfi, F.H., Allahviranloo, T., Jondabeha, M.A. and Alizadeh, L. (2009) Solving a fully fuzzy linear programming using lexicography metod and fuzzy approximate solution. Applied Mathematical Modelling 33, 3151-3156.
- Maleki, H.R. (2002) Ranking functions and their applications to fuzzy linear programming. Far East Journal of Mathematical Sciences 4, 283-301.
- Maleki, H.R., Tata, M. and Mashinchi, M. (2000) Linear programming with fuzzy variables. Fuzzy Sets and Systems 109, 21-33.
- Taha, H.A. (2003) Operations Research: An introduction. Prentice-Hall, New Jersey.
- Tanaka, H., Okuda, T. and Asai, K. (1973) On fuzzy mathematical programming. Journal of Cybernetics and Systems 3, 37-46.
- Zadeh, L.A. (1965) Fuzzy sets. Information and Control 8, 338–353.
- Zimmermann, H.J. (1978) Fuzzy programming and linear programming with several objective functions. Fuzzy Sets and Systems 1, 45-55.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BATC-0009-0057