ZIB

Hits per page

hit 1 - 1 | 1 hit

Sorting

Electronic Resource

Separation theorems and minimax theorems for fuzzy sets (1980)

Takahashi, M. ; Takahashi, W.

Springer

Journal of optimization theory and applications 31 (1980), S. 177-194

add to mindlist on the mindlist

Details

ISSN: 1573-2878

Keywords: Fuzzy sets ; Banach spaces ; Hilbert spaces ; minimax theorems ; separation theorems

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract In this paper, we prove some theorems on fuzzy sets. We first show that, in order to demonstrate that the equality of shadows ofA andB implies the equality ofA andB, it is necessary to assume thatA andB are closed and thatS H (A)=S H (B) for any closed hyperplane hyperplaneH. We also obtain a separation theorem for two convex fuzzy sets in a Hilbert space. Finally, we investigate results relating to minimax theorems for fuzzy sets. We obtain a necessary and sufficient condition for compactness.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00934109

Permalink

Library	Location	Call Number	Volume/Issue/Year	Availability

Others were also interested in ...

Paper (German National Licenses)

Fulltext

hit 1 - 1 | 1 hit