๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Geodesic balls in a fuzzy set and fuzzy geodesic mathematical morphology

โœ Scribed by Isabelle Bloch

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
172 KB
Volume
33
Category
Article
ISSN
0031-3203

No coin nor oath required. For personal study only.

โœฆ Synopsis

Although fuzzy operators have deserved a large attention in the Euclidean case, almost nothing exists concerning the geodesic case. In this paper, we address this question, by de"ning fuzzy geodesic distances between points in a fuzzy set, and geodesic balls in a fuzzy set (based on the comparison of fuzzy numbers), from which we derive fuzzy geodesic mathematical morphology operators. The proposed de"nitions are valid in any dimension. The main properties of the basic operators are demonstrated. These new operations enhance the set of fuzzy morphological operators, leading to transformations of a fuzzy set conditionally to another fuzzy set.

๐Ÿ“œ SIMILAR VOLUMES

Relevance in systems having a fuzzy-set-
Relevance in systems having a fuzzy-set-based semantics
โœ Ronald R. Yager ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 125 KB

Future automated question answering systems will typically involve the use of local knowledge available on the users' systems as well as knowledge retrieved from the Web. The determination of what information we should seek out on the Web must be directed by its potential value or relevance to our o

Fuzzy rough set techniques for uncertain
Fuzzy rough set techniques for uncertainty processing in a relational database
โœ Theresa Beaubouef; Frederick E. Petry ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 251 KB ๐Ÿ‘ 1 views

This paper concerns the modeling of imprecision, vagueness, and uncertainty in databases through an extension of the relational model of data: the fuzzy rough relational database, an approach which uses both fuzzy set and rough set theories for knowledge representation of imprecise data in a relatio