We apologize for a recent technical issue with our email system, which temporarily affected account activations. Accounts have now been activated. Authors may proceed with paper submissions. PhDFocusTM
CFP last date
20 December 2024
Call for Paper
January Edition
IJCA solicits high quality original research papers for the upcoming January edition of the journal. The last date of research paper submission is 20 December 2024

Submit your paper
Know more
The week's pick
Responsive image
Improved Shuffled Frog Leaping Algorithm with Self-Adaptive Shuffling for Fuzzy Logic PD+G Controller Optimization in Robotic Manipulators

Duc Hoang Nguyen
Random Articles
Reseach Article

Solving a Fully Fuzzy Multiobjective Programming Problem using its Equivalent Weighted Goal Programming Problem

by Babita Mishra, S. R. Singh
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 134 - Number 4
Year of Publication: 2016
Authors: Babita Mishra, S. R. Singh
10.5120/ijca2016907877

Babita Mishra, S. R. Singh . Solving a Fully Fuzzy Multiobjective Programming Problem using its Equivalent Weighted Goal Programming Problem. International Journal of Computer Applications. 134, 4 ( January 2016), 15-20. DOI=10.5120/ijca2016907877

@article{ 10.5120/ijca2016907877,
author = { Babita Mishra, S. R. Singh },
title = { Solving a Fully Fuzzy Multiobjective Programming Problem using its Equivalent Weighted Goal Programming Problem },
journal = { International Journal of Computer Applications },
issue_date = { January 2016 },
volume = { 134 },
number = { 4 },
month = { January },
year = { 2016 },
issn = { 0975-8887 },
pages = { 15-20 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume134/number4/23901-2016907877/ },
doi = { 10.5120/ijca2016907877 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:33:14.371284+05:30
%A Babita Mishra
%A S. R. Singh
%T Solving a Fully Fuzzy Multiobjective Programming Problem using its Equivalent Weighted Goal Programming Problem
%J International Journal of Computer Applications
%@ 0975-8887
%V 134
%N 4
%P 15-20
%D 2016
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper introduces a computational method of solving fully fuzzy multi objective linear programming problem through goal programming approach. Here we deal the imprecise parameters as fuzzy numbers with assumption that these fuzzy numbers have some possibility distribution associated with fuzzy variables. In the study, we extend the concept of conflict and non-conflict between objective functions to fuzzy objective functions to compute the expected priority structure and expected aspiration level for various goals. Further, in view of some risk taken by decision maker,

References
  1. Akoz, Onur, Petrovic, D., 2007 A fuzzy goal programming method with imprecise goal hierarchy, European Journal of Operational Research 181, 1427-1433.
  2. Angiz, M., Z., Saati, S., Memariani, A., Movahedi, M.,M., 2006 Solving possibilistic linear programming problem considering membership function of the coefficients, Fuzzy Sets and Systems 1(2) 131-142.
  3. Arenas, M., Bilbao, A., Rodriguez, M.,V., 1999a Solving the multiobjective possibilistic linear programming problem, European Journal of Operational Research 117, 175-182.
  4. Arenas, M., Bilbao, A., Rodriguez, M.V., 1999b Solution of a possibilistic multiobjective linear programming problem, European Journal of Operational Research 119, 338-344.
  5. Arenas, M., Bilbao, A., Gladish B.P., Rodriguez, M.V., 2005 Solving a multiobjective possibilistic problem through compromise programming, European Journal of Operational Research, 164, 748-759.
  6. Buckley, J,.J., 1988 Possibilistic linear programming with triangular fuzzy numbers. Fuzzy Sets and Systems 26, 135-138.
  7. Buckley, J.,J., 1989 Solving possibilistic linear programming problems, Fuzzy Sets and Systems 31 ,329-341.
  8. Cheng, Haifang, Huang, Weilai, Zhou, Quan , Cai Jianhu,2013 Solving fuzzy multi-objective linear programming problems using deviation degree measures and weighted max–min method, Applied Mathematical Modelling 37,6855–6869.
  9. Chen, L.,H, Tsai, F.,C, 2001 Fuzzy goal programming with different importance and priorities, European Journal of Operational Research 133, 548-556.
  10. Chopra, R, Saxena R,R , 2014 An approach to solve a possibilistic linear programming problem. Applied Mathematics 5, 226-233.
  11. Cohon, J.,L.,1978 Multiobjective programming and planning, Academic Press, New York.
  12. Heilpern, S, 1992 The expected value of a fuzzy number, Fuzzy Sets and Systems 47, 81-86.
  13. Jimenez, M., Arenas. M., Bilbao, A., Rodriguez, M.,V., 2000 Solving a possibilistic linear program through compromise programming, Mathware and Soft Computing 7(2-3), 175-184.
  14. Lai, Y.,J., Hwang, C.L., 1992 A new approach to some possibilistic linear programming problem, Fuzzy Sets and Systems 49, 121-133.
  15. Li, Shaoyuan, Hu, Chaofang, 2009 Satisfying optimization method for fuzzy multi objective optimization problem, European Journal of Operational Research 197, 675-684.
  16. Lin, C.,C., 2009 A weighted max-min model for fuzzy goal programming, Fuzzy sets and Systems 197, 675-684.
  17. Lu, Jie, Ruan, D., Wu, Fengjie, Zhang, Guangquan, 2007 An α-fuzzy goal approximate algorithm for solving fuzzy multiple objective linear programming problems, Soft Comput, 11, 259–267.
  18. Mishra, B, Singh, S.,R., 2013 Linear fractional programming procedure for multi objective linear programming problem in agricultural system. International Journal of Computer Application 61(20), 45-52.
  19. Mishra, B., Nishad, A.,K., Singh, S.,R., 2014 Fuzzy multi objective fractional programming for landuseplanninginagriculturalproductionsystem.FuzzyIformation and Engineering 6, 245-262.
  20. Mohanty, B.,K., Vijayaraghawan, T.,A.,S., 1995 A multiobjective programming problem and its equivalent goal programming problem with approprite priorities and aspiration levels:A fuzzy approach, Computers Ops. Res., 22(8), 771-778.
  21. Yaghoobi, M.,A., Tamiz, M., 2007 A method of solving fuzzy goal programming problems based on MINMAX approach, European Journal of Operational Research 177, 1580-1590.
  22. Zadeh, L.,A., 1978 Fuzzy sets as a basis of theory of possibility, Fuzzy Sets and Systems 1, 3-28.
Index Terms

Computer Science
Information Sciences

Keywords

Fully fuzzy multi objective linear programming problem conflict and non-conflict between objective functions triangular fuzzy number.

Powered by PhDFocusTM