𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Compactness and Convexity on the Space of Fuzzy Sets

✍ Scribed by Yun Kyong Kim

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
99 KB
Volume
264
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, a criterion for which the convex hull of is relatively compact is given when is a relatively compact subset of the space R p of fuzzy sets endowed with the Skorokhod topology. Also, some examples are given to illustrate the criterion.

πŸ“œ SIMILAR VOLUMES

Starplus-Compactness and Starplus-Compac
Starplus-Compactness and Starplus-Compact Open Fuzzy Topologies on Function Spaces
✍ J.K. Kohli; A.R. Prasannan πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 115 KB

Extending Lowen's notion of strong fuzzy compactness to an arbitrary fuzzy set the notion of a starplus-compact fuzzy set is introduced. It is shown that the category of starplus-compact fuzzy topological spaces is productive, and that starplus-compactness is a good extension of the notion of compac

On the difference of fuzzy sets
On the difference of fuzzy sets
✍ Claudi Alsina; Enric Trillas πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 98 KB πŸ‘ 2 views

We formulate and solve a collection of functional equations arising in the framework of fuzzy logic when modeling the concept of a difference operation between couples of fuzzy sets.

COMPARISON OF FUZZY SET AND CONVEX MODEL
COMPARISON OF FUZZY SET AND CONVEX MODEL THEORIES IN STRUCTURAL DESIGN
✍ CHRIS P. PANTELIDES; SARA GANZERLI πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 311 KB

A methodology for the treatment of uncertainty in the loads applied to a structural system using convex models is presented and is compared to the fuzzy set "nite-element method. The analytical results for a beam, a truss and a frame structure indicate that the two methods based on convex model or f