%0 Journal Article %1 noauthororeditor %A Äzza, H. Amer" %D 2018 %J Operations Research and Applications : An International Journal (ORAJ) %K Bi-Level Decomposed Fully Fuzzy Method Non-Linear Numbers Problems Programming Quadratic Triangular %N 2 %P 01-15 %R 10.5121/oraj.2018.5201 %T A NEW ALGORITHM FOR SOLVING FULLY FUZZY BI-LEVEL QUADRATIC PROGRAMMING PROBLEMS %U http://airccse.com/oraj/papers/5218oraj01.pdf %V 5 %X This paper is concerned with new method to find the fuzzy optimal solution of fully fuzzy bi-level non-linear (quadratic) programming (FFBLQP) problems where all the coefficients and decision variables of both objective functions and the constraints are triangular fuzzy numbers (TFNs). A new method is based on decomposed the given problem into bi-level problem with three crisp quadratic objective functions and bounded variables constraints. In order to often a fuzzy optimal solution of the FFBLQP problems, the concept of tolerance membership function is used to develop a fuzzy max-min decision model for generating satisfactory fuzzy solution for FFBLQP problems in which the upper-level decision maker (ULDM) specifies his/her objective functions and decisions with possible tolerances which are described by membership functions of fuzzy set theory. Then, the lower-level decision maker (LLDM) uses this preference information for ULDM and solves his/her problem subject to the ULDMs restrictions. Finally, the decomposed method is illustrated by numerical example.

@article{noauthororeditor, abstract = {This paper is concerned with new method to find the fuzzy optimal solution of fully fuzzy bi-level non-linear (quadratic) programming (FFBLQP) problems where all the coefficients and decision variables of both objective functions and the constraints are triangular fuzzy numbers (TFNs). A new method is based on decomposed the given problem into bi-level problem with three crisp quadratic objective functions and bounded variables constraints. In order to often a fuzzy optimal solution of the FFBLQP problems, the concept of tolerance membership function is used to develop a fuzzy max-min decision model for generating satisfactory fuzzy solution for FFBLQP problems in which the upper-level decision maker (ULDM) specifies his/her objective functions and decisions with possible tolerances which are described by membership functions of fuzzy set theory. Then, the lower-level decision maker (LLDM) uses this preference information for ULDM and solves his/her problem subject to the ULDMs restrictions. Finally, the decomposed method is illustrated by numerical example. }, added-at = {2018-06-20T14:42:10.000+0200}, author = {"Azza, H. Amer"}, biburl = {https://www.bibsonomy.org/bibtex/2186bec81b2d0aa585706a181c8a05c4e/oraj}, doi = {10.5121/oraj.2018.5201}, interhash = {49daab6039651100262319250aacd1a4}, intrahash = {186bec81b2d0aa585706a181c8a05c4e}, journal = {Operations Research and Applications : An International Journal (ORAJ)}, keywords = {Bi-Level Decomposed Fully Fuzzy Method Non-Linear Numbers Problems Programming Quadratic Triangular}, month = may, number = 2, pages = {01-15}, timestamp = {2018-06-20T14:42:10.000+0200}, title = {A NEW ALGORITHM FOR SOLVING FULLY FUZZY BI-LEVEL QUADRATIC PROGRAMMING PROBLEMS}, url = {http://airccse.com/oraj/papers/5218oraj01.pdf}, volume = 5, year = 2018 }