Title :
A generalized equilibrium value-based approach for solving fuzzy transportation problems with triangular fuzzy numbers
Author :
Chenxia Jin ; Yan Shi ; Fachao Li
Author_Institution :
Sch. of Econ. & Manage., Hebei Univ. of Sci. & Technol., Shijiazhuang, China
Abstract :
Transportation Problem (TP) is one of the most best known operational research problems, which plays an important role in many practical applications. In this paper, we first propose the concept of generalized equilibrium value of fuzzy number, and further give a comparison method for ranking fuzzy numbers, namely GEV-CM; secondly, for Fuzzy Transportation Problem (FTP) where the unit transportation cost is represented by triangular fuzzy number and supplies and demands is real numbers, we convert it into a crisp TP using GEV-CM, which can be easily solved by standard solution methods; thirdly, we show that our methods are efficient in solving the above mentioned FTP through a numerical example. Therefore, our discussions can be widely applied in many real life transportation problems for the decision makers.
Keywords :
decision making; fuzzy set theory; operations research; transportation; FTP; GEV-CM; crisp TP; decision makers; fuzzy transportation problems; generalized equilibrium value-based approach; operational research problems; standard solution methods; triangular fuzzy numbers; unit transportation cost; Approximation methods; Educational institutions; Fuzzy sets; Linear programming; Mathematical model; Supply and demand; Transportation; Fuzzy Transportation Problem; generalized equilibrium value; triangular fuzzy number;
Conference_Titel :
Soft Computing and Intelligent Systems (SCIS), 2014 Joint 7th International Conference on and Advanced Intelligent Systems (ISIS), 15th International Symposium on
DOI :
10.1109/SCIS-ISIS.2014.7044844