A subjective approach for ranking fuzzy numbers
Fuzzy Sets and Systems
Ranking fuzzy numbers with integral value
Fuzzy Sets and Systems
An index for ordering fuzzy numbers
Fuzzy Sets and Systems
Possible and necessary optimality tests in possibilistic linear programming problems
Fuzzy Sets and Systems - Special issue on operations research
Ranking and defuzzification methods based on area compensation
Fuzzy Sets and Systems
A parametric representation of fuzzy numbers and their arithmetic operators
Fuzzy Sets and Systems - Special issue: fuzzy arithmetic
A general approach to solving a wide class of fuzzy optimization problems
Fuzzy Sets and Systems
A shortest path problem on a network with fuzzy arc lengths
Fuzzy Sets and Systems
Fuzzy Sets and Systems - Special issue on soft decision analysis
An algorithm for the biobjective integer minimum cost flow problem
Computers and Operations Research
Reasonable properties for the ordering of fuzzy quantities (I)
Fuzzy Sets and Systems
Reasonable properties for the ordering of fuzzy quantities (II)
Fuzzy Sets and Systems
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
Duality in Fuzzy Linear Programming: Some New Concepts and Results
Fuzzy Optimization and Decision Making
Toward a generalized theory of uncertainty (GTU): an outline
Information Sciences—Informatics and Computer Science: An International Journal
Statistical hypotheses testing for fuzzy data
Information Sciences: an International Journal
Solving the Shortest Path Problem with Interval Arcs
Fuzzy Optimization and Decision Making
Duality in fuzzy linear programming with possibility and necessity relations
Fuzzy Sets and Systems
Algorithms of discrete optimization and their application to problems with fuzzy coefficients
Information Sciences: an International Journal
Synthetic realization approach to fuzzy global optimization via gamma algorithm
Mathematical and Computer Modelling: An International Journal
Fuzzy optimization problemsbased on the embedding theorem and possibility and necessity measures
Mathematical and Computer Modelling: An International Journal
A branch and bound algorithm for the robust shortest path problem with interval data
Operations Research Letters
Information Sciences: an International Journal
Information Sciences: an International Journal
Optimal network design and storage management in petroleum distribution network under uncertainty
Engineering Applications of Artificial Intelligence
Computers and Industrial Engineering
Optimal network design and storage management in petroleum distribution network under uncertainty
Engineering Applications of Artificial Intelligence
Application of fuzzy minimum cost flow problems to network design under uncertainty
Fuzzy Sets and Systems
An algorithm for solving fuzzy maximal flow problems using generalized triangular fuzzy numbers
International Journal of Hybrid Intelligent Systems - Rough and Fuzzy Methods for Data Mining
Fuzzy Linear Programming Approach for Solving Fuzzy Transportation Problems with Transshipment
Journal of Mathematical Modelling and Algorithms
Fuzzy optimal solution of fuzzy transportation problems with transshipments
RSFDGrC'11 Proceedings of the 13th international conference on Rough sets, fuzzy sets, data mining and granular computing
A generalized bi-criteria fuzzy integer flow sharing problem
International Journal of Approximate Reasoning
Some concepts of the fuzzy multicommodity flow problem and their application in fuzzy network design
Mathematical and Computer Modelling: An International Journal
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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The aim of minimal cost flow problem (MCFP) is to find the least transportation cost of a single commodity through a capacitated network. This paper presents a model to deal with one particular group of such problems in which the supply and demand of nodes and the capacity and cost of edges are represented as fuzzy numbers. For easier reference, hereafter, we refer to this group of problems as fully fuzzified MCFP. To represent our model, Hukuhara's difference and approximated multiplication are used. Thereafter, we sort fuzzy numbers by an order using a ranking function and show that it is a total order, i.e., a reflexive, anti-symmetric, transitive and complete binary relation. Utilizing the proposed ranking function, we transform the fully fuzzified MCFP into three crisp problems solvable in polynomial time. From this standpoint, combinatorial algorithms are provided to solve the above-mentioned problem and find the fuzzy optimal flow. Furthermore, the proposed order is related to the importance weights of the center, the left spread and the right spread of each fuzzy number. Thus, this method is capable of handling the decision maker's risk taking. By comparing some previous ranking function-based works with our method, the efficiency of the latter is revealed. Finally, an application of our proposed method to petroleum industry is presented.