We consider stable matching problems where the agents express their preferences compactly via soft constraints. We study the impact of this choice on the computational complexity of finding stable matching, with particular attention to fuzzy constraints.

The portfolio construction problem usually has been viewed in the framework of risk-return trade-off. Using deterministic and stochastic portfolio models used to solve the problem lead to unrealistic results as both the expected return rate and the risk are vague. Moreover, the decision maker frequently deals with insufficient data when selecting a portfolio. Using fuzzy models allows removal o...

This paper is concerned with some feasibility issues in mathematical programs with equilibrium constraints (MPECs) where additional joint constraints are present that must be satis ed by the state and design variables of the problems. We introduce su cient conditions that guarantee the feasibility of these MPECs. It turns out that these conditions also guarantee the feasibility of the quadratic...

Based on the fuzzy set theory this work develops two adaptations of iterative methods that solve mathematical programming problems with uncertainties in the objective function and in the set of constraints. The first one uses the approach proposed by Zimmermann to fuzzy linear programming problems as a basis and the second one obtains cut levels and later maximizes the membership function of fu...

Abstract In this paper, we use interval-valued fuzzy numbers to fuzzify the crisp linear programming to three cases. The first case, we use intervalvalued fuzzy numbers to fuzzify the coefficients in the objective function. We get a linear programming in the fuzzy sense. The second case, we use interval-valued fuzzy numbers to fuzzify the coefficients akj in the constraints about xj, j = 1, 2, ...

A new concept to the optimization problem in an intuitionistic fuzzy environment is introduced. A general model, of linear programming problems in which both the right hand side constants and the technological coefficients are intuitionistic fuzzy numbers, has been presented. An attempt has been made to find a general linear non-membership function and intuitionistic fuzzy index together with t...

A new fuzzy goal approximate algorithm has been developed for solving fuzzy multiple objective linear programming (FMOLP) problems where fuzzy parameters can be in any form of membership function in both objective functions and constraints. Based on the fuzzy goal approximate algorithm, a fuzzy multiple objective decision support system (FMODSS) is developed. This paperfocuses on the developmen...

conclusions using fuzzy logic provides an elegant mathematical solution for finding the optimum point of food groups in dietary pattern. results the optimum (lower attention – upper attention) recommended servings per day for fruits, vegetables, grain, meat, dairy, and oils of the 2000 kcal diet were 4.06 (3.75-4.25), 6.69 (6.25-7.00), 5.69 (5.75-6.25), 4.94 (4.5-5.2), 2.75(2.50-3.00), and 2.56...