The Cauchy problem for fuzzy differential equations
Fuzzy Sets and Systems
Embedding problem of fuzzy number space: Part I
Fuzzy Sets and Systems
Fuzzy Sets and Systems - Fuzzy mathematical programming
Fuzzy Optimization: Recent Advances
Fuzzy Optimization: Recent Advances
Ranking function-based solutions of fully fuzzified minimal cost flow problem
Information Sciences: an International Journal
The solution and duality of imprecise network problems
Computers & Mathematics with Applications
Some concepts of the fuzzy multicommodity flow problem and their application in fuzzy network design
Mathematical and Computer Modelling: An International Journal
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The embedding theorem shows that the set of all fuzzy numbers can be embedded into a Banach space. Inspired by this embedding theorem, we propose a solution concept of fuzzy optimization problem based on the possibility and necessity measures by solving a biobjective optimization problem. This biobjective optimization problem is obtained by applying the embedding function to the original fuzzy optimization problem. We then also consider the fuzzy optimization problem with fuzzy coefficients (i.e., the coefficients are assumed to be fuzzy numbers). Under a setting of core value of fuzzy number, we show that the optimal solution of its corresponding crisp optimization problem (the usual optimization problem) is also a 1-optimal solution of the original fuzzy optimization problem.