2 edition of **Multiple objective linear programming problems with fuzzy domination structures** found in the catalog.

Multiple objective linear programming problems with fuzzy domination structures

Eiji Takeda

- 192 Want to read
- 21 Currently reading

Published
**1978**
by Institute of Economic Research, Kobe University of Commerce in Kobe, Japan
.

Written in English

- Linear programming.

**Edition Notes**

Bibliography: leaf 18.

Statement | Eiji Takeda. |

Series | Working paper - Institute of Economic Research, Kobe University of Commerce ; no. 46 |

Classifications | |
---|---|

LC Classifications | T57.74 .T34 |

The Physical Object | |

Pagination | 18 leaves ; |

Number of Pages | 18 |

ID Numbers | |

Open Library | OL4486996M |

LC Control Number | 79316101 |

dom two-level linear programming problems to minimize each objective function with fuzzy random variables into stochastic two-level programming problems to maximize the degree of possibility and necessity that each fuzzy goal is fulﬁlled. arithmetic is treating fuzzy linear programming problems and fuzzy linear systems [5, 6], several problems in various areas such as economics, en-gineering and physics boil down to the solution of a linear system of equations. In many applica-tions, at least some of the parameters of the sys-Corresponding author. [email protected]

In the following section, we will give the formulation of the large scale multiple objective programming problem with fuzzy parameters in the objective functions and the right-hand side of the independent constraints (LSFMOP), which have block angular structure on which the Dantzig-Wolfe decomposition method was successfully applied. Stochastic Versus Fuzzy Approaches to Multiobjective Mathematical Programming under Uncertainty. Editors: Shi-Yu Huang, Teghem, Jaques Interactive Decision Making for Multiobjective Programming Problems with Fuzzy Parameters. Pages Multiple Objective Linear Programming Problems in the Presence of Fuzzy Coefficients. Pages

C.-C. Lin, A weighted max-min model for fuzzy goal programming, Fuzzy Sets Syst. , , pp. Google Scholar Cross Ref; Y.-H. Liu and Y. Shi, Y., A fuzzy programming approach for solving a multiple criteria and multiple constraint level in linear programming problem, Fuzzy Sets Syst. 65, , pp. Google Scholar Digital Library. Multi-objective optimization (also known as multi-objective programming, vector optimization, multicriteria optimization, multiattribute optimization or Pareto optimization) is an area of multiple criteria decision making that is concerned with mathematical optimization problems involving more than one objective function to be optimized simultaneously.

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Request PDF | Hierarchical Multiobjective Linear Programming Problems with Fuzzy Domination Structures | In this paper, we focus on hierarchical multiobjective linear programming problems with. A class of fuzzy multiple objective linear programming (FMOLP) problems with fuzzy coefficients based on fuzzy relations is introduced, the concepts of feasible and (alpha,beta)-maximal and minimal solutions are defined.

The class of crisp (classical) MOLP problems Author: Jaroslav Ramík. We describe the distinction of their applications in programming problems. In the third approach, we describe how the efficiency can be extended to multiple objective programming problems with fuzzy coefficients.

Necessary and sufficient conditions for a feasible solution to satisfy the extended efficiency are by: Abstract: Fuzzy multi objective linear programming problem has its application in a variety of research and development field. It is the application of fuzzy set theory in linear decision making problem.

In this paper, solution procedure of multi objective fuzzy linear programming with triangular membership function is : Beena T Balan. [17] studied linear programming problem in intuitionistic fuzzy environment using intuitionistic fuzzy number and interval uncertainty in fuzzy numbers.

The motivation of the present study is to give computational algorithm for solving multi objective linear programming problem by intuitionistic fuzzy optimization approach.

In [15, 4] a.o. fuzzy linear programming problems are represented by fuzzy inequalities which express fuzzy goals and fuzzy constraints. Negoita, Minoiu and Stan [6] have investigated linear constraints with fuzzy parameters.

In this paper, we now consider linear objective functions with fuzzy coefficients (see Remark 1).Cited by: Fuzzy programming and linear programming with several objective functions 51 X2 Fig. Fuzzy LP with min-operator. In addition Hamacher [6] has shown that the conr~ective D corresponding to the logical "and" has to be Dy (IlA,PB)= [IAI~B), + (1 - Y) (#A + IIB-- ['IA Cited by: In practical, the problem of structural design may be formed as a typical non-linear programming problem with non-linear objective functions and constraints functions in fuzzy environment.

Some researchers applied the fuzzy set theory for Structural model. For example Wang et al. [13] first applied D-cut method to structural. The steps of the method are as follows: ZIMMERMAN’S METHOD StepSolve the multi-objective linear programming problem as a single objective linear programming problem by using any linear programming algorithm, considering only one of the objectives at a time and ignoring all others.

A fuzzy linear programming (FLP) multiobjective problem is first presented. Then, a crisp equivalent model is determined and solved. Thereafter, the direct solutions are searched via meta-heuristic algorithms.

1) Fuzzy LP problem. A fuzzy single objective FLP may be. 7 A design dominates another design if it is at least equal in all the. Linear programming Abstract In this paper, we focus on hierarchical multiobjective linear programming problems with fuzzy domination structures where multiple decision makers in a hierarchical organization have their own multiple objective linear functions together with common linear : Hitoshi Yano.

In this paper, we focus on hierarchical multiobjective linear programming problems with fuzzy domination structures where multiple decision makers in a hierarchical organization have their own multiple objective linear functions together with common linear : Hitoshi Yano.

linear programming. Multi-level multi-objective linear or non-linear programming problems are new combination problems in the field of multi-level (or multi- objective) decision making problems.

Ibrahim [14] proposed Fuzzy goal programming algorithm for solving decentralized bi-level multi-objective programming Size: KB. In this paper, a modified TOPSIS (techniques for order preference by similarity to ideal solution) approach for solving bi-level multi-objective programming (BL-MOP) problems with fuzzy parameters is presented.

These fuzzy parameters are assumed to be characterized by fuzzy numerical data, reflecting the experts' imprecise or fuzzy understanding of the nature of the parameters in the problem Cited by: 1.

In this paper, we introduced a method in which fuzzy multi-objective linear programming problem is reduced to crisp MOLPP using ranking function suggested by s [6] and the resulting one is solved by partial modification of fuzzy programming technique of Zimmermann [10].

In this paper, a modified TOPSIS (techniques for order preference by similarity to ideal solution) approach for solving bi-level multi-objective programming (BL-MOP) problems with fuzzy parameters is presented.

These fuzzy parameters are assumed to be characterized by fuzzy numerical data, reflecting the experts' imprecise or fuzzy understanding of the nature of the parameters in the problem Cited by: 1. objective of intuitionistic fuzzy multi-objective linear programming problem (IFMOLPP) are transformed by using first order Taylor polynomial series [5].

Then the IFMOLPP can be reduced to a single objective linear programming. The paper is organized as follows: The formulation of the problem is given in Section 2.

Since fuzzy number linear programming is also subfamily of fuzzy linear programming thus the latter is used throughout this paper.

Jana and Roy [14] proposed multi-objective linear programming problem to solve solid transportation problems with mixed constraints.

With a simple modification to the multi-objective linear programming, the. solving fuzzy multiple objective linear programming problems where fuzzy parameters in both objective functions and constraints and fuzzy goals of objectives can be in any form of membership function.

Based on the method, in this paper, a fuzzy multiple objective decision support system prototype is developed. A detailed. This paper presents a simplex-based solution procedure for the multiple objective linear fractional programming problem.

By (1) departing slightly from the traditional notion of efficiency and (2) Cited by:. Solving Fuzzy Linear Programming Problems with Linear Membership Functions Rafail N. Gasimov, K¨ur˘sat Yenilmez Abstract In this paper, we concentrate on two kinds of fuzzy linear programming problems: linear programming problems with only fuzzy technological coe cients and linear programming problems in which both the right-hand side and the.A Fuzzy Approach for Hierarchical Multiobjective Linear Programming Problems, Lecture Notes in Engineering and Computer Science: Proceedings of The International MultiConference of.Objective Fuzzy Linear Programming Problem, Fuzzy Sets.

I. INTRODUCTION Linear programming is a one of the most important operational research (OR) techniques. It has been applied to solve many real world problems but it fails to deals with imprecise data.

So the many researchers succeed in capturing vague and imprecise information by fuzzy Cited by: