Some ideas to minimize an empirically given fuzzy function

In real world problems, usually, the response variable as well as the adjustable control variables are subject to vagueness and uncertainty. These properties can be taken into account by means of specifying fuzzy sets for the respective values. In the paper the case is considered that the function t...

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Vydané v:Optimization Ročník 22; číslo 1; s. 139 - 151
Hlavný autor: Bandemer, H.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Akademic-Verlag 01.01.1991
Predmet:
Empirically given functions
fuzzy set theory
Primary: 65 K 05
ranking of fuzzy sets
Secondary: 3 E 72
sequential optimization
ISSN:0233-1934, 1029-4945
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Abstract In real world problems, usually, the response variable as well as the adjustable control variables are subject to vagueness and uncertainty. These properties can be taken into account by means of specifying fuzzy sets for the respective values. In the paper the case is considered that the function to be minimized is a fuzzy one and can only be inspected point by point. Then a region is to be found where the values of the response variables are minimum in a given sense. Hence a sequential procedure is sketched for which the observed values will run into such a region.
AbstractList In real world problems, usually, the response variable as well as the adjustable control variables are subject to vagueness and uncertainty. These properties can be taken into account by means of specifying fuzzy sets for the respective values. In the paper the case is considered that the function to be minimized is a fuzzy one and can only be inspected point by point. Then a region is to be found where the values of the response variables are minimum in a given sense. Hence a sequential procedure is sketched for which the observed values will run into such a region.
Author Bandemer, H.
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10.1111/j.2517-6161.1951.tb00067.x
10.1214/aoms/1177729392
10.1016/0165-0114(78)90029-5
10.1007/978-3-642-97118-1
10.1016/0020-0255(83)90025-7
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References Bandemer H. (CIT0003) 1988; 31
Gottwald S. (CIT0007) 1986
Dubois D. (CIT0005) 1980
CIT0010
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Rommelfanger H. (CIT0009) 1988
CIT0011
Bandemer H. (CIT0002) 1990; 197
Box G.E.P. (CIT0004) 1951; 13
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CIT0008
References_xml – volume-title: Fuzzy Sets and Systems. Theory and Applications
  year: 1980
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  volume-title: Mathematics of Fuzzy Systems
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  ident: CIT0007
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  doi: 10.1016/0005-1098(77)90008-5
– volume: 13
  start-page: 1
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  publication-title: J. Roy. Statist Soc. Ser. B
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– volume-title: Entscheiden bei Unschärfe
  year: 1988
  ident: CIT0009
  doi: 10.1007/978-3-642-97118-1
– volume: 31
  start-page: 293
  year: 1988
  ident: CIT0003
  publication-title: Ein neues Verfahren zur Optimierung empirischer Funktionen mit überlagertem Zufallsfehler. msr
– volume: 197
  start-page: 112
  year: 1990
  ident: CIT0002
  publication-title: FFH D
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  doi: 10.1016/0020-0255(83)90025-7
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StartPage 139
SubjectTerms Empirically given functions
fuzzy set theory
Primary: 65 K 05
ranking of fuzzy sets
Secondary: 3 E 72
sequential optimization
Title Some ideas to minimize an empirically given fuzzy function
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