This study analyzes and optimizes a new design for a four-fin radiating fin array system in a multi-objective fuzzy optimization environment. The conflicting objectives of minimizing both weight and horizontal size are considered simultaneously in the fuzzy optimization logic. A fuzzy feasible domain is constructed by considering all of the fuzzy sets individually defined by the fuzzy objectives and constraints. The system is optimized by maximizing the fuzzy decision function. A systematic procedure of the fuzzy optimization is discussed in detail.
Issue Section:
Radiative Transfer
1.
Bellman
R. E.
Zadeh
L. A.
1970
, “Decision Making in a Fuzzy Environment
,” Management Science
, Vol. 17
, pp. 141
–164
.2.
Chung
B. T. F.
Zhang
B. X.
1993
a, “A Novel Design for a Radiative Fin Array System
,” J. Franklin Institute
, Vol. 330
, No. 3
, pp. 465
–478
.3.
Chung
B. T. F.
Zhang
B. X.
1993
b, “Optimum Design for a Radiative Fin Array System With Least Horizontal Dimension
,” J. Franklin Institute
, Vol. 330
, No. 5
, pp. 869
–884
.4.
Gupta, M. M., Knopf, G. K., and Nikforuk, P. N., 1988, “Sinusiodal-Based Cognitive Mapping Functions,” Fuzzy Logic in Knowledge-Based Systems, Decision and Control, Elsevier Science Publishers, North-Holland.
5.
Kandel, A., and Lee, S. C., 1979, Fuzzy Switching and Automata: Theory and Applications, Crane, Russak & Company, Inc., New York.
6.
Lee
E. T.
Zadeh
L. A.
1969
, “Note on Fuzzy Languages
,” Information Sciences
, Vol. l
, pp. 421
–434
.7.
Lee
E. T.
1980
, “Applications of Fuzzy Set Theory to Image Sciences
,” J. Cybernetics
, Vol. 10
, pp. 127
–136
.8.
Rao
S. S.
1987
, “Multi-objective Optimization of Fuzzy Structural Systems
,” Int. J. Numerical Methods in Engineering
, Vol. 24
, pp. 1157
–117
.9.
Sakawa, M., 1993, Fuzzy Sets and Interactive Multiobjective Optimization, Plenum Press, New York.
10.
Schmucker, K. J., 1984, Fuzzy Sets, Natural Language Computations, and Risk Analysis, Computer Science Press, Rockville, MD.
11.
Schnurr
N. M.
Shapiro
A. B.
Townsend
M. A.
1976
, “Optimization of Radiating Fin Arrays With Respect to Weight
,” ASME JOURNAL OF HEAT TRANSFER
, Vol. 98
, pp. 643
–648
.12.
Stoecker, W. F., 1989, Design of Thermal Systems, 3rd ed., McGraw-Hill, New York.
13.
Walsh, G. R., 1975, Methods of Optimization, Wiley, London.
14.
Wilkins, J. E., 1960, “Minimum Mass Thin Fins for Space Radiators,” Proc. 1960 Heat Transfer and Fluid Mechanics Inst., D. M. Mason et al., eds., Stanford Univ. Press, Stanford, CA, pp. 229–243.
15.
Zadeh
L. A.
1965
, “Fuzzy Sets
,” Information and Control
, Vol. 8
, pp. 338
–353
.16.
Zadeh
L. A.
1975
a, “The Concept of a Linguistic Variable and Its Application to Approximate Reasoning—I
,” Information Sciences
, Vol. 8
, pp. 199
–249
.17.
Zadeh
L. A.
1975
b, “The Concept of a Linguistic Variable and Its Application to Approximate Reasoning—II
,” Information Sciences
, Vol. 8
, pp. 301
–375
.18.
Zadeh
L. A.
1975
c, “The Concept of a Linguistic Variable and Its Application to Approximate Reasoning—III
,” Information Sciences
, Vol. 9
, pp. 43
–80
.19.
Zhang, B. X., and Chung, B. T. F., 1994, “A Multi-objective Fuzzy Optimization for a Convective Fin,” The 10th International Heat Transfer Conference Proceedings, Brighton, United Kingdom, Vol. 2, pp. 485–490.
20.
Zhang
B. X.
Chung
B. T. F.
Lee
E. T.
1996
, “The Invariance of Optimum Solution in a Multiobjective Fuzzy Environment
,” Kybernetes, Int. J. of Systems and Cybernetics
, Vol. 25
, pp. 17
–32
.
This content is only available via PDF.
Copyright © 1996
by The American Society of Mechanical Engineers
You do not currently have access to this content.
