EVALUATION OF PRODUCTION PROCESSES IN FUZZY DECISION ENVIRONMENTS: FUZZY GOAL PROGRAMMING AND AN APPLICATION
Published 2018-09-02
How to Cite
How to Cite
Abstract
If the aspiration levels of the goals are set realistically by the decision maker in Goal Programming, the deviations from the goals could occur too high as a result of the solution. It leads the decision maker to make incorrect decisions. It is also the case for Fuzzy Goal Programming. When the fuzzy goals and their tolerance levels are not defined properly, there will be deviations from the goals. Additionally, if there are constraint functions besides the goals in the problems of either Goal Programming or Fuzzy Goal Programming, the solutions will deviate greatly from the incorrectly defined goal values as the solutions are realized based on the constraints. It is because the goals are limited by the constraints. This study firstly defines the positive and negative ideal solutions of objective functions in the problem organized in Multiobjective Linear Programming model for a business which manufactures hand crafted furniture. Afterwards, each objective is transformed into fuzzy goals using positive and negative ideal solutions.
References
- Bellman,R.E., and Zadeh,L.A. (1970). “Decision-Making in A Fuzzy Environment”, Management Science B.17 , pp. 141-164.
- Charnes, A., and Cooper, W. W. and Ferguson, R. (1955). “Optimal estimation of executive compensation by linear programming”, Management Science, vol. 1, no. 2, pp. 138-151.
- Charnes, A., and Cooper, W.W. 1961, Management Models and Industrial Applications of Linear Programming, Wiley, New York.
- Charnes, A., and Cooper, W.W. (1977). “Goal programming and multiple objective optimizations”, Eur. J. Oper.
- Res., vol. 1, issue 1, pp. 39–54.
- Chen, L-H., Ko, W-C., and Yeh,F-T. (2017). “Approach based on fuzzy goal programing and quality function deployment for new product planning”, European Journal of Operational Research,259 pp. 654–663
- Chen, L. H., and Tsai, F.C. (2001). “Fuzzy goal programming with different importance and priorities”, European Journal of Operational Research, 133, 548–556.
- Cheng, H.W. (2013). “A satisficing method for fuzzy goal programming problems with different importance and priorities”, Qual. Quant, 47,485–498.
- Silva, A.F., and Marins,F.A.S.(2014). “A Fuzzy Goal Programming model for solving aggregate production- planning problems under uncertainty: A case study in a Brazilian sugar mill, Energy Economics 45, pp.196–204.
- Erpolat, S. (2010). “Üretim Planlamasında Hedef Programlama ve Bulanık Hedef Programlama Yöntemlerinin Karşılaştırılması”, Öneri, C.9.S.34. Temmuz, pp.233-246.
- Flavell, R.B. (1976). “A new goal programming formulation”, Omega, vol. 4, no. 6, 731–732, 1976.
- Gupta, M., and Bhattacharjee, D. (2012). “Two weighted fuzzy goal programming methods to solve multiobjective goal programming problem”, Journal of applied mathematics, volume 2012,1-20.
- Hannan, E. L. (1981), “On fuzzy goal programming”, Decision Sciences, 12, 522–531.
- Ijiri,Y. (1965). Management Goals and Accounting for Control, Amsterdam, North-Holland Publishing Co. Jones, D., and Tamiz, M. (2010). Practical goal programming, International Series in Operations Research and
- Management Science, 141 (141). Springer, New York.
- Lee, S.E., and Moore, L.J. (1975). Introduction to Decision Science, Petrocelli- Charter, New York.
- Liang, T-F. (2007). “Applying fuzzy goal programming to production/transportation planning decisions in a supply chain”, International Journal of Systems Science Vol. 38, No. 4, pp.293–304.
- Lin, C.C. (2004). “A weighted max–min model for fuzzy goal programming”, Fuzzy Sets and Systems 142, 407– 420.
- Lutero, D.S., Pangue,E.M.U, Tubay,J.M., and Lubag, S.P. (2016). “A fuzzy goal programming model for biodiesel production”, Journal of Physics: Conference Series 693 (2016) 012007, doi:10.1088/1742- 6596/693/1/012007
- Min, H., and Storbeck,J. (1991). “On the Origin and Persistence of Misconceptions in Goal Programming”, Journal of the Operational Research Society, Vol. 42, pp.301-312.
- Mokhtaria, H. and Hasani, A. (2017).”Multi-objective model for cleaner production-transportationplanning in manufacturing plants via fuzzy goal programming”, Journal of Manufacturing Systems 44, pp.230–242.
- Romero, C. (1991). Handbook of Critical Issues in Goal Programming, Perganom Press, New York . Narasimhan, R. (1980). “Goal programming in a fuzzy environment”, Decision Sciences, 11, 325–336.
- Özkan, M. ve Bircan, H.(2016). “Bulanık Hedef Programlama ile Ürün Hedef Optimizasyonu: Yang, Ignizio ve Kim Modeli”, İstanbul Üniversitesi İşletme Fakültesi Dergisi, Vol/Cilt: 45, No/Sayı:2, November/Kasım, pp.109-119.
- Rubin, P.A., and Narasimhan, R. (1984). Fuzzy goal programming with nested priorities. Fuzzy sets and systems 14, 115-129.
- Schniederjans, M.J. (1994). Goal Programming: Methodology And Applications, Kluwer Academic Publishers, Boston.
- Simon, H.A. (1960). The New Science of Management Decision, Harper & Brothers Publishers, First Edition, New York.
- Tsai, K-M., HsinLin, S-Y.Y., and Tsai, C-H. (2008). “A fuzzy goal programming approach with priority for channel allocation problem in steel industry”, Expert Systems with Applications, Volume 34, Issue 3, pp. 1870-1876.
- Tiwari, R.N., Dharmar, S. & Rao, J.R. (1986). Priority structure in fuzzy goal programming. Fuzzy sets and systems 19, 251-259.
- Zadeh, L.A. (1965). “Fuzzy Sets”, Information and Control 8,s. 338-353.
- Zeleny, M.(1982). Multiple Criteria Decision Making, McGraw-Hill Book Company, New York.
- Zimmerman, H.J. (1978). Fuzzy programming and linear programming with several objective functions, Fuzzy sets and systems 1 (1978) 45–55.
- Yaghoobi, M.A., and Tamiz, M. (2007). “A method for solving fuzzy goal programming problems based on minmax approach”, European Journal of Operational Research 177, 1580–1590.
- Yang, T., Ignizio, J. P., and Kim, H. J. (1991). “Fuzzy programming with nonlinear membership functions: piecewise linear approximation”, Fuzzy Sets and Systems, 41, 39−53.