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Based on credibility theory, this paper presents a new class of satisficing data envelopment analysis (DEA) model, in which the inputs and outputs are fuzzy variables and we adopt the concept of fuzzy chance-constrained programming and “satisficing concepts” of H. A. Simon. When the fuzzy inputs and fuzzy outputs are independent trapezoidal fuzzy variables, we transform the satisficing DEA model to...
An expected utility model is proposed to measure the utility toward fuzzy wealth. Some properties and concepts, such as certainty equivalence are analyzed. Based on maximizing the expected utility, some models are given to consider how to form an optimal portfolio: the first problem on investing in a crisp asset and an uncertainty asset with fuzzy value, the second problem on investing in a set of...
Satisfactory solutions of interval programming and interval linear bi-level programming are defined based on a new partial order on intervals. The optimality condition for interval programming is investigated. Based on K-T optimality condition, satisfactory solution of interval linear bi-level programming is obtained from a bi-objective programming. Finally, a numerical example is presented.
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