Geometric programming with max-product fuzzy relation equation constraints

Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS

Volumn 2005, Issue , 2005, Pages 650-653

  Yang, Ji Hui ^a   Cao, Bing Yuan ^a,b  

^a SHANTOU UNIVERSITY   (China)

^b GUANGZHOU UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

FUZZY RELATION EQUATION; FUZZY RELATION EQUATION CONSTRAINTS; GEOMETRIC PROGRAMMING; OPTIMIZATION MODEL;

CONSTRAINT THEORY; GENETIC ALGORITHMS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; OPTIMIZATION;

FUZZY SETS;

EID: 33745001650     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/NAFIPS.2005.1548614     Document Type: Conference Paper

References (15)

1. Jiranut Loetamonphong and S.C.Fang, "Optimization of fuzzy relation equations with max-product composition," Fuzzy Sets and Systems, vol. 118, pp. 509-517, 2001.
2. J.J.Lu and S.C.Fang, "Solving nonlinear optimization problems with fuzzy relation equation constraints," Fuzzy Sets and Systems, vol. 119, pp. 1-20, 2001.
3. Ji-Hui Yang, Bing-Yuan Cao, "Geometric Programming with Fuzzy Relation Equation Constraints," 2005 IEEE International Fuzzy Systems Conference Proceedings, Reno, Nevada, May 22-May 25 2005. (to appear)
4. M.Prevot, "Algorithm for the solution of fuzzy relations equations," Fuzzy Sets and Systems, vol. 5, pp. 319-322, 1981.
5. E.Sanchez, "Resolution of composite fuzzy relation equations," Inform.and Control, vol. 30, pp. 38-48, 1976.
6. W.X.Zhang, G.J.Wang, Introduction to Fuzzy Sets, xi'an: xi'an jiaotong univercity Publishers. 1991.
7. S.C.Fang and G.Z.Li, "Solving fuzzy relation equations with a linear objective function." Fuzzy Sets and Systems, vol. 103, pp. 107-113, 1999.
8. P.Z.Wang, D.Z.Zhang, E.Sanchez and E.S.Lee,"Latticized linear programming and fuzzy relation inequalities," J. Math. Anal. Appl, vol. 159, no. 1, pp. 72-87, 1991.
9. R.Dembo, "Sensitivity analysis in geometric programming[," Journal of Optimization Theory and Applications, vol. 37, pp. 1-21, 1982.
10. M.S.Bazaraa and C.M.Shetty, Nonlinear programming theory and algorithms, New York: John Wiley & Sons, 1979.
11. M.Higashi and G.J.Klir, "Resolution of finite fuzzy relation equations," Fuzzy Sets and Systems, vol. 13, pp. 65-82, 1984.
12. V. Klee, "What is a convex set?" The American Mathematical Monthly, vol. 78, no. 6, pp. 616-631, 1971.
13. C. Zener, Engineering Design by Geometric Programming, New York: John Wiley & Sons, 1971.
14. B.Y.Cao, Fuzzy Geometric Programming, Boston: Kluwer Academic Publishers, 2002.
15. H-J.Zimrnermann, Fuzzy Set and Its Applications, Dordrecht: Kluwer Academic Publishers, 1991.