A computationally fuzzy multiobjective programming (MOP) approach with a Leontief interindustry model is used to investigate the trade-offs between per capita gross domestic product, national employment, and per capit...
详细信息
In this paper, weak strictly convex vector function and weak strictly H\-α convex vector function are introduced. We prove the uniqueness of major efficient solution when the objective function is weak strictly c...
详细信息
In this paper, weak strictly convex vector function and weak strictly H\-α convex vector function are introduced. We prove the uniqueness of major efficient solution when the objective function is weak strictly convex vector function, and the uniqueness of α major efficient solution when the objective function is weak strictly H α convex vector function.
A fuzzy regression model is used in evaluating the functional relationship between the dependent and independent variables in a fuzzy environment. Most fuzzy regression models are considered to be fuzzy outputs and pa...
详细信息
A fuzzy regression model is used in evaluating the functional relationship between the dependent and independent variables in a fuzzy environment. Most fuzzy regression models are considered to be fuzzy outputs and parameters but non-fuzzy (crisp) inputs. In general, there are two approaches in the analysis of fuzzy regression models: linear-programming-based methods and fuzzy least-squares methods. In 1992, Sakawa and Yano considered fuzzy linear regression models with fuzzy outputs, fuzzy parameters and also fuzzy inputs. They formulated multiobjective programming methods for the model estimation along with a linear-programming-based approach. In this paper, two estimation methods along with a fuzzy least-squares approach are proposed. These proposed methods can be effectively used for the parameter estimation. Comparisons are also made between them. (C) 2002 Elsevier Science B.V. All rights reserved.
In this paper, the problem of the determination of Pareto optimal solutions for certain large-scale systems with multiple conflicting objectives is considered. As a consequence, a two-level hierarchical method is prop...
详细信息
In this paper, the problem of the determination of Pareto optimal solutions for certain large-scale systems with multiple conflicting objectives is considered. As a consequence, a two-level hierarchical method is proposed, where the global problem is decomposed into smaller multiobjective problems (lower level) which are coordinated by an upper level that has to take into account the relative importance assigned to each subsystem. The scheme that has been developed is an iterative one, so that a continuous information exchange is carried out between both levels in order to obtain efficient solutions for the initial global problem. The practical implementation of the developed scheme allows us to prove its efficiency in terms of processing time.
The aim of this paper is to provide some first results regarding to the extension to the vector valued case of theb-ìnvex functions. Some definitions will be given for both the nonsmooth case and the differentiab...
详细信息
The aim of this paper is to provide some first results regarding to the extension to the vector valued case of theb-ìnvex functions. Some definitions will be given for both the nonsmooth case and the differentiable case; the inclusion relationships among the introduced families of functions will be studied and some results regarding to vector valued optimization will be stated.
The paper has two main objectives. First, one establish efficiency conditions of Kuhn-Tucker type (with equality in the main constraint) for multiobjective mathematical programs, generated by n-set functions. Second, ...
详细信息
The paper has two main objectives. First, one establish efficiency conditions of Kuhn-Tucker type (with equality in the main constraint) for multiobjective mathematical programs, generated by n-set functions. Second, it is showed that a duality, introduced by Preda in 1999, under the name of "generalized Wolfe duality" has an autonomous character in nonlinear programming. Moreover, weak, direct and converse duality theorems in Preda sense for above mentioned programs are establish.
In this paper we establish an equivalence between the solutions of a generalized linear complementarity problem and efficient points of a related nonlinear (quadratic) multiobjective programming problem. An algorithm ...
详细信息
In this paper we establish an equivalence between the solutions of a generalized linear complementarity problem and efficient points of a related nonlinear (quadratic) multiobjective programming problem. An algorithm based on multiple objective programming approach is presented to solve generalized linear complementarity problem
The estimate of the parameters which define a conventional multiobjective decision making model is a difficult task. Normally they are either given by the Decision Maker who has imprecise information and/or expresses ...
详细信息
The estimate of the parameters which define a conventional multiobjective decision making model is a difficult task. Normally they are either given by the Decision Maker who has imprecise information and/or expresses his considerations subjectively, or by statistical inference from the past data and their stability is doubtful. Therefore, it is reasonable to construct a model reflecting imprecise data or ambiguity in terms of fuzzy sets and several fuzzy approaches to multiobjective programming have been developed [1,9-11]. The fuzziness of the parameters gives rise to a problem whose solution will also be fuzzy, see [2,3], and which is defined by its possibility distribution. Once the possibility distribution of the solution has been obtained, if the decision maker wants more precise information with respect to the decision vector, then we can pose and solve a new problem. In this case we try to find a decision vector, which approximates as much as possible the fuzzy objectives to the fuzzy solution previously obtained. In order to solve this problem we shall develop two different models from the initial solution and based on Goal programming: an Interval Goal programming Problem if we define the relation "as accurate as possible" based on the expected intervals of fuzzy numbers, as we showed in [4], and an ordinary Goal programming based on the expected values of the fuzzy numbers that defined the goals. Finally, we construct algorithms that implement the above mentioned solution method. Our approach will be illustrated by means of a numerical example. (C) 1999 Elsevier Science B.V. All rights reserved.
In this paper, we are concerned with global efficiency in multiobjective optimization. After exposing a property of a cone-subconvexlike function, we prove that a local weakly efficient solution, a local efficient sol...
详细信息
We are concerned with nonlinear multiobjective programming problem with inequality constraints. We introduce some classes of nonconvex. functions by relaxing the definitions of invex and preinvex functions. Examples a...
详细信息
We are concerned with nonlinear multiobjective programming problem with inequality constraints. We introduce some classes of nonconvex. functions by relaxing the definitions of invex and preinvex functions. Examples are given to shows relationship between them. Various first and second order sufficient optimality theorems are obtained. Moreover, we prove duality and converse duality results for Mond-Weir type dual.
暂无评论