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Duality and ordinality in fuzzy measure theory

✍ Scribed by Toshiaki Murofushi

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
240 KB
Volume
138
Category
Article
ISSN
0165-0114

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✦ Synopsis

This paper reformulates the duality in fuzzy measure theory discussed by Liu as the (cardinal) duality principle. This principle guarantees that, if a proposition concerning a ΓΏnite fuzzy measure holds, then its dual also holds. It is, however, not applicable to propositions concerning inΓΏnite fuzzy measures. By introducing the concept of ordinality, the author converts the principle into the ordinal duality principle, which is applicable to all ordinal propositions concerning general, ΓΏnite or inΓΏnite, fuzzy measures.

πŸ“œ SIMILAR VOLUMES

Duality in linear programming with fuzzy
Duality in linear programming with fuzzy parameters and matrix games with fuzzy pay-offs
✍ C.R Bector; S Chandra; Vidyottama Vijay πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 254 KB

A dual for linear programming problems with fuzzy parameters is introduced and it is shown that a two person zero sum matrix game with fuzzy pay-o s is equivalent to a primal-dual pair of such fuzzy linear programming problems. Further certain di culties with similar studies reported in the literatu