Fuzzy multiobjective programming for a deterministic case involves maximizing the minimum goal satisfaction level among conflicting goals of different stakeholders using Max-min approach. Uncertainty due to randomness in a fuzzy multiobjective programming may be addressed by modifying the constraints using probabilistic inequality (e.g., Chebyshev’s inequality) or by addition of new constraints...

The traditional single objective mean variance optimization model fails to satisfy the investors with multiple investment objectives. So multi-objective portfolio optimization model is considered in this paper. Since this will help investors to achieve highest expected return among the different financial products of the capital market and to fulfill the expected return objectives simultaneousl...

the system analysis plays an important role in natural resources, water resources and industrial engineering. in recent years, most parts of iran like golestan province, due to the lack of integrated river basin management, have been suffered numerous losses in variant environmental, social and economic aspects. in this paper an application of system analysis has been applied to optimal pattern...

In this paper, we address a problem in which a storage space constrained buyer procures a single product in multiple periods from multiple suppliers. The production capacity constrained suppliers offer all-unit quantity discounts. The late deliveries and rejections are also incorporated in sourcing. In addition, we consider transportation cost explicitly in decision making which may vary becaus...

While solution methods are well-known for optimization problems with a single objective function, there are many common real world scenarios in which a single function does not suffice. Multiobjective or multicriteria optimization is the branch of optimization that deals with the case of two or more objective functions. An important example is the biobjective problem that arises in portfolio op...

the aim of this study was to develop an optimal sustainable forest plantation based on goal programming and analytic hierarchy process (ahp) methods. this study was carried out in guilan province, north of iran. first of all, the ecological capability of the study area for plantation establishment/maintenance was evaluated based on multi-factor method and specific ecological makhdoum model by m...

Table 3 and its caption Cost per 100g * in Nigerian naira (NGN) daily allowed intake grams 8 for food commodities available Ebonyi. The minimum (Min) maximum (Max) 9 are specified an adolescent male female grams. For each commodity it is 10 if within a diet type, which reflects the most restrictive can be 11 included. types abbreviated as follows: OM omnivore, PC pescatarian, VE 12 vegetarian V...

This paper presents fuzzy goal programming approach for solving multiobjective quadratic programming problem. The problem deals with a decisionmaking unit with multiple objective functions, which are quadratic in nature and the system constraints are linear functions. In the proposed approach, we first formulate the quadratic membership functions by determining best solution of the objective fu...