Fuzzy set theory: basic concepts, techniques and bibliography
Fuzzy set theory: basic concepts, techniques and bibliography
Journal of Optimization Theory and Applications
Fuzzy linear programming problems as bi-criteria optimization problems
Applied Mathematics and Computation
Oblique fuzzy vectors and their use in possibilistic linear programming
Fuzzy Sets and Systems - Special issue: Interfaces between fuzzy set theory and interval analysis
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In this paper, we consider fuzzy mathematical programming problems which involve fuzzy vectors only in the objective function. First, we define fuzzy vectors on n-dimensional Euclidean space R^n and investigate their properties. Especially, we extend the concepts of the fuzzy max order and the possibility and the necessity measures given in fuzzy number to those of fuzzy vectors. Next, based on the results, we consider fuzzy mathematical programming problems, including fuzzy multicriteria optimization problems, which involve fuzzy vectors only in the objective function and we give the concepts of optimal solutions and characterize their properties.