Application of Weighted Additive Fuzzy Goal Programming Approach to Quality Control System Design

Full Text (PDF, 493KB), PP.14-23

Views: 0 Downloads: 0

Author(s)

Mohammed. Mekidiche 1,* Mostefa Belmokaddem 2

1. Faculty of Economics and Commerce, University of Tlemcen, -Maghnia Annex –Algeria

2. Faculty o f Economics and Commerce,University of Tlemcen, Algeria

* Corresponding author.

DOI: https://doi.org/10.5815/ijisa.2012.11.02

Received: 17 Feb. 2012 / Revised: 4 Jun. 2012 / Accepted: 16 Aug. 2012 / Published: 8 Oct. 2012

Index Terms

Fuzzy Goal Programming, Additive Approach, Quality Control System

Abstract

The problem of decision-making in designing a quality control system (QCS), is one of the most difficult problems decisions facing the manager in the industrial firms , this problem of decision requires of fixing the levels of inputs and variables that meet the required output specifications. in the context of the problem a QCS, the parameters can be imprecise and expressed through intervals or fuzzy. The aim of this study is to presents the formulation for designing a QCS based on Weighted fuzzy goal programming (WAFGP) developed by Yaghoobi and Tamiz [12] and Yaghoobi et al [13], the advantage of the proposed formulation as a linear , use all types of membership functions and integrate explicitly the decision-maker’s preference . Finally, we compare the results of our model with the major important mathematical models used in the QCS It has been shown that the best model.

Cite This Paper

Mohammed. Mekidiche., Mostefa Belmokaddem, "Application of Weighted Additive Fuzzy Goal Programming Approach to Quality Control System Design", International Journal of Intelligent Systems and Applications(IJISA), vol.4, no.11, pp.14-23, 2012. DOI:10.5815/ijisa.2012.11.02

Reference

[1]Badri, M.A., A combined AHP-GP model for quality control systems. International Journal of Production Economics,Vol 72,2002, PP 27–40.

[2]Chanas, S and Kuchta, D. Fuzzy goal programming – One notation", many Meanings. Control and Cybernetics ,Vol 31 ,2002, PP 871–890.

[3]Sadok, C,M., Chabchoub,H., Aouni, B. Quality control system design through goal programming model and the satisfaction functions . European Journal of Operational Research ,Vol 186, 2008, PP 1084–1098.

[4]Hannan, E.L., On fuzzy goal programming. Decision Sciences ,Vol 12, 1981, PP 522–531.

[5]Hassanpour , H,. Maleki,H,R,. Yaghoobi,M,A., A Goal programming approach to fuzzy linear regression with non-fuzzy input and fuzzy output data ,Asia- Pacific Journal of Operational Research, Vol 26, 2009 , PP 587-604

[6]Kim, J.S., Whang, K.-S. A tolerance approach to the fuzzy goal programming problems with unbalanced triangular membership function . European Journal of Operational Research ,Vol 107, 1998, PP 614–624.

[7]Lee, C.S., Wen, C.G., Fuzzy goal programming approach for water quality management in a river basin . Fuzzy Sets and Systems ,Vol 89, 1997, PP 181–192.

[8]Martel, J.M., Aouni, B., Incorporating the decision-maker’s preferences in the goal programming model . Journal of Operational Research Society, Vol 41, PP 1121–1132.

[9]Narasimhan, R., Goal programming in a fuzzy environment . Decision sciences,Vol 11, 1980 ,PP 325–336. 

[10]Schniederjans, M.J., Karuppan, C.M., Designing a quality control system in a service organization: A goal programming case study. European Journal of Operational Research,Vol 81, 1995, PP 249–258.

[11]Sengupta, S., Goal programming approach to a type of quality control problem. The Journal of the Operational Research Society,Vol 32 , 1981,PP 207–211.

[12]Yaghoobi,M,A.,and Tamiz. A methode for solving fuzzy goal programming problems with based on MINMAX approach . European Journal of Operational Research, Vol 177 , 2007, PP1580– 1590.

[13]Yaghoobi,M,A.,Jons,D,F.,and Tamiz., 2008. Weighted additive models for solving fuzzy goal programming problems , Asia - Pacific Journal of Operational Research; Vol 25, 2007, PP 715-733. 

[14]Zadeh, L. A. Fuzzy Sets. Information and Control , Vol 8, 1965, PP 338–353.