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Extension principle in fuzzy optimization

✍ Scribed by Jaroslav Ramík

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
252 KB
Volume
19
Category
Article
ISSN
0165-0114

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✦ Synopsis

The paper deals with the generalization of the well known extension principle to set-to-set mappings (multifunctions). In the first part of the paper an image of a fuzzy set is defined and several properties for special classes of multifunctions are derived. The second part of the paper is'devoted to fuzzy optimization. Using the first part a new concept of solution of the fuzzy optimization problem is introduced and then compared with the usual one.

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