fgp approach to multi objective quadratic fractional programming problem

نویسندگان

k. lachhwani

department of mathematics, government engineering college, bikaner- 334004, india.

چکیده

multi objective quadratic fractional programming (moqfp) problem involves optimization of several objective functions in the form of a ratio of numerator and denominator functions which involve both contains linear and quadratic forms with the assumption that the set of feasible solutions is a convex polyhedral with a nite number of extreme points and the denominator part of each of the objective functions is non-zero in the constraint set. in this paper, we extend the procedure as suggested by lachhwani (proc. nat. acad. sci. india, 82(4), 317-322) based on fuzzy goal programming approach for the solution of multi objective quadratic fractional programming (moqfp) problem. the proposed technique is simple, ecient and requires less computational work. in the proposed fgp model formulation, corresponding objectives of equivalent multi objective programming problem are transformed into fuzzy goals membership functions) by means of assigning an aspiration level to each of them and suitable membership function is defined for each objectives. then achievement of the highest membership value of each of fuzzy goals is formulated by minimizing the sum of negative deviational variables. the proposed methodology is illustrated with numerical example in order to support the proposed methodology.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

FGP approach to multi objective quadratic fractional programming problem

Multi objective quadratic fractional programming (MOQFP) problem involves optimization of several objective functions in the form of a ratio of numerator and denominator functions which involve both contains linear and quadratic forms with the assumption that the set of feasible solutions is a convex polyhedral with a nite number of extreme points and the denominator part of each of the objecti...

متن کامل

FGP approach to multi objective quadratic fractional programming problem

Multi objective quadratic fractional programming (MOQFP) problem involves optimization of several objective functions in the form of a ratio of numerator and denominator functions which involve both contains linear and quadratic forms with the assumption that the set of feasible solutions is a convex polyhedral with a finite number of extreme points and the denominator part of each of the objec...

متن کامل

Fuzzy Goal Programming Approach to Quadratic Bi-Level Multi-Objective Programming Problem

This paper deals with fuzzy goal programming approach to quadratic bi-level multi-objective programming problem involving a single decision maker with multiple objectives at the upper level and a single decision maker with multiple objectives at the lower level. The objective functions of each level decision maker are quadratic in nature and the system constraints are linear functions. In the m...

متن کامل

Modified FGP approach and MATLAB program for solving multi-level linear fractional programming problems

In this paper, we present modified fuzzy goal programming (FGP) approach and generalized MATLAB program for solving multi-level linear fractional programming problems (ML-LFPPs) based on with some major modifications in earlier FGP algorithms. In proposed modified FGP approach, solution preferences by the decision makers at each level are not considered and fuzzy goal for the decision vectors i...

متن کامل

Multi-Objective Quadratic Programming Problem Based on Fuzzy Goal Programming

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...

متن کامل

منابع من

با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید


عنوان ژورنال:
international journal of industrial mathematics

جلد ۶، شماره ۱، صفحات ۴۹-۵۷

میزبانی شده توسط پلتفرم ابری doprax.com

copyright © 2015-2023