Modified S-Curve Membership Function and Its Application to Fuzzy Linear Programming

Authors

  • Pandian M Vasant Nilai International College, Malaysia

DOI:

https://doi.org/10.32890/jict2003.2.2.1

Keywords:

fuzzy linear programming, satisfactory solution, decision maker, modified S-Curve, vagueness

Abstract

The modern trend in industrial application problem deserves modeling of all relevant vague or fuzzy information involved in a real decision making problem. In this paper, the modified S-curve membership function and its methodology in solving real life problems are discussed. In the second part of the paper, the computation of fuzzy linear programming approach is made. Lastly, the usefulness of the modified S-curve membership function is established using a real life industrial production planning of a chocolate manufacturing unit. The unit produces 8 products using 8 raw materials, mix in various proportions by 9 different processes under 29 constraints. A solution to this problem is achieved, thus establishing the usefulness of the suggested membership function for decision making in maximizing objective function. From the theory and numerical results, it can be seen that the method presented here for solving a system of fuzzy mix product selection problem with modified S-curve membership function is very promising.

 

References

Bellman, R.E., & Zadeh, L. A. (1970). Decision making in a fuzzy environment. Management Science, 17, 141-164.

Carlsson, C., & Korhonen, P. (1986). A parametric approach to fuzzy linear programming. Fuzzy Sets and Systems, 20, 17-30.

Goguen, J. A. (1969). The logic of inexact concepts. Syntheses, 19, 325-373.

Hannan, E. L. (1981). Linear programming with multiple fuzzy goals. Fugzy Sets and Systems, 6, 235-248.

Hillier, M. (1995). OR courseware to accompany introduction to mathematical programming, 2E. MathProg. McGraw-Hill.

Hu, C. F., Fang, S. C. (1999). Solving fuzzy inequalities with piecewise linear membership functions. IEEE Transaction On Fuzzy Systems, 7, 230-235. nuiguchi, M., Ichihaschi, H., & Kume, Y. (1990). A solution algorithm for fuzzy linear programming with piecewise linear membership function. Fuzzy Sets And Systems, 34, 15-31.

Kolman, B., & Beck, R. (1995). Elementary linear programming with applications. USA: Academic Press.

Kuz’min, V. B. (1981). A parametric approach to description of linguistic values of variables and hedges. Fuzzy Sets And Systems, 6, 27-41.

Leberling, H. (1981). On finding compromise solutions in multicriteria problems using the fuzzy min-operator. Fuzzy Sets and System, 6, 105-118.

Nowakowska, N. (1977). Methodological problems of measurement of fuzzy concepts in the social sciences. Behavioral Science. 22, 107-115. t.uum.edu.my/ //ic http Journal of ICT, 2 (2), pp: 1-SSS

Pandian, M. V. (2002)..4 Methodology of Decision Making In An Industrial Production Planning Using Interactive Fuzzy Linear Programming. (Mastet’s Thesis). School of Engineering and Information Technology, University Malaysia Sabah, Malaysia.

Sakawa, M. (1983). Interactive computer program for fuzzy linear programming with multiple objectives. J. Man-Machine Stud, 18, 489-503.

Sengupta, A., Pal, T. K., & Chakraborty, D. (2001). Interpretation of inequality constraints involving interval coefficients and a solution to interval linear programming. Fuzzy Sets And Systems, 119, 129-138.

Tabucannon, M. T.(1996). Multi objective programming for industrial engineers. Mathematical Programming For Industrial Engineers (pp. 487-542). New York: Marcel Dekker, Inc.

Thapa, M. N. (1997). Linear programming : Introduction software. Springer.

Watada, J. (1997). Fuzzy portfolio selection and its applications to decision making. Tatra Mountains Mathematics Publication, 13, 219-248.

Zadeh, L. A. (1971). Similarity relations and fuzzy orderings. Information Science, 3, 177-206.

Zimmermann, H.J. (1976). Description and optimization of fuzzy system. International Journal of General Systems, 2, 209-215.

Zimmermann, H.J. (1978). Fuzzy programming and linear programming with several objective functions. Fuzzy Sets and Systems, 45-55.

Zimmermman, H. J. (1985). Application of fuzzy set theory to mathematical programming. Information Sciences, 36, 25-58.

Zimmermann, HJ. (1991). Fuzzy set theory-and its applications. (24 ed.). Boston: Kluwer.

Downloads

Published

26-11-2003

How to Cite

M Vasant, P. (2003). Modified S-Curve Membership Function and Its Application to Fuzzy Linear Programming. Journal of Information and Communication Technology, 2(2), 1-23. https://doi.org/10.32890/jict2003.2.2.1

Research impact

Harvested 2026-09-06
0 citations recorded so far

Counts differ between services because each indexes a different body of literature. None of them is the whole picture.

Identifiers DOI 10.32890/jict2003.2.2.1 OpenAlex W4378768698