An (α ,β)-Optimal solution concept in Fuzzy Optimization problems

References

• Bellman , RE and Zadeh , LA . 1970 . Decision making in a fuzzy environment . Management Science , 17 : 141 – 164 .
   Web of Science ®Google Scholar
• Birge JR Louveaux F 1997 Introduction to Stochastic Programming, Physica-Verlag NY
   Google Scholar
• Cao B-YG 2002 Fuzzy Geometric Programming, Kluwer Academic Publishers Boston
   Google Scholar
• Carlsson C Fullér R 2002 Fuzzy Reasoning in Decision Making and Optimization (Studies in Fuzziness and Soft Computing 82), Physica-Verlag NY
   Google Scholar
• Delgado M Kacprzyk J Verdegay J-L Vila MA (Eds.) 1994 Fuzzy Optimization : Recent Advances, Physica-Verlag NY
   Google Scholar
• Dubois , D and Prade , H . 1983 . Ranking fuzzy numbers in the setting of possibility theory . Information Sciences , 30 : 183 – 224 .
   Web of Science ®Google Scholar
• Horst N Pardalos PM Thoai NV 2000 Introduction to Global Optimization, 2nd Edn, Kluwer Academic Publishers Boston
   Google Scholar
• Inuiguchi , M and Ramík , J . 2000 . Possibilistic linear programming: a brief review of fuzzy mathematical programming and a comparison with stochastic programming in portfolio selection problem . Fuzzy Sets and Systems , 111 : 3 – 28 .
   Web of Science ®Google Scholar
• Kaleva , O . 1990 . The Cauchy problem for fuzzy differential equations . Fuzzy Sets and Systems , 35 : 389 – 396 .
   Web of Science ®Google Scholar
• Lai Y-J Hwang C-L 1992 Fuzzy mathematical programming: methods and applications Lecture Notes in Economics and Mathematical Systems 394 Springer-Verlag Berlin,Heidelberg
   Google Scholar
• Lai Y-J Hwang C-L 1994 Fuzzy multiple objective decision making: methods and applications Lecture Notes in Economics and Mathematical Systems 404 Springer-Verlag Berlin,Heidelberg
   Google Scholar
• Prékopa A 1995 Stochastic Programming, Kluwer Academic Publishers Boston
   Google Scholar
• Puri , ML and Ralescu , DA . 1983 . Differentials for fuzzy functions . J. Math. Anal. Appl. , 91 : 552 – 558 .
   Web of Science ®Google Scholar
• Puri , ML and Ralescu , DA . 1986 . Fuzzy random variables . J. Math. Anal. Appl. , 114 : 409 – 422 .
   Web of Science ®Google Scholar
• Ramík J Vlach M 2002 Generalized Concavity in Fuzzy Optimization and Decision Analysis, Kluwer Academic Publishers Boston
   Google Scholar
• Sakawa M Yano H 1990 Feasibility and pareto optimality for multiobjective linear and linear fractional programming problems with fuzzy parameters In: J.L. Verdegacy and M. Delgado (Eds.) The Interface between Artificial Intelligence and Operations Research in Fuzzy Environment pp. 213–232 Verlag Rhineland
   Google Scholar
• Sakawa M 1993 Fuzzy Sets and Interactive Multiobjective Optimization Plenum Press New York
   Google Scholar
• Słowiński R (Ed.) 1998 Fuzzy Sets in Decision Analysis, Operations Research and Statistics, Kluwer Academic Publishers Boston
   Google Scholar
• Słowiński R Teghem J (Eds.) 1990 Stochastic versus Fuzzy Approaches to Multiobjective Mathematical Programming under Uncertainty, Kluwer Academic Publishers Boston
   Google Scholar
• Wu , C-X and Ma , M . 1991 . Embedding problem of fuzzy number space: part I . Fuzzy Sets and Systems , 44 : 33 – 38 .
   Google Scholar
• Wu H-C 2003 Evaluate Fuzzy optimization problems based on biobjective programming problems Computers and Mathematics with Applications (to appear)
   Google Scholar
• Wu H-C 2003 Fuzzy optimization problems based on the embedding theorem and possibility and necessity measures Mathematical and Computer Modelling (to appear)
   Google Scholar
• Zadeh , LA . 1965 . Fuzzy sets . Information and Control , 8 : 338 – 353 .
   Web of Science ®Google Scholar
• Zadeh LA 1975 The concept of linguistic variable and its application to approximate reasoning I, II and III Information Sciences 8 199 249 301–357 and 9, 43–80
   Web of Science ®Google Scholar