This paper presents a fuzzy, non-linear similarity measure designed for a clinical casebased reasoning system in radiotherapy treatment planning. The developed fuzzy similarity measure takes into account the distribution of attribute similarity values in the case base to ensure that the numerical values of the similarity between individual attributes are comparable and can be combined to give t...

Topological relations have played important roles in spatial query, analysis and reasoning in Geographic Information Systems (GIS) and spatial databases. The topological relations between crisp and fuzzy spatial objects based upon the 9intersections topological model have been identified. However the formalization of the topological relations between fuzzy regions needs more investigation. The ...

An on-line distributed environment, which was implemented in the context of the VENIVA project for historical libraries and archives is presented here. Emphasis is given in the presentation of the powerful search capabilities provided to the end-users, which are typical for the end-users (either researchers or ordinary people) of any Digital Library environment. The information managed resides ...

A new approach is presented for the development of quantitative structure–property relations (QSPR) based on the extraction of relevant molecular features with self-organizing maps and the use of a modified fuzzy-ARTMAP classifier for variable prediction. The present methodology is demonstrated for the development of a QSPR for the aqueous-phase infinite dilution activity coefficient , based on...

Properties of sup-∗ compositions of fuzzy relations were first examined in Goguen [8] and next discussed by many authors. Power sequence of fuzzy relations was mainly considered in the case of matrices of fuzzy relation on a finite set. We consider sup-∗ powers of fuzzy relations under diverse assumptions about ∗ operation. At first, we remind fundamental properties of sup-∗ composition. Then, ...

Many of the new MV-valued fuzzy structures, including intuitionistic, neutrosophic, or soft sets, can be transformed into so-called almost or, equivalently, sets with values in dual pair semirings (in symbols, (R,R*)-fuzzy sets). This transformation allows any construction to retransformed an analogous for these structures. In that way, approximation theories rough theories, F-transform have al...

Various expanded rough set models based on tolerance relations enlarge the application fields of rough set theory. Through generating tolerance relations to fuzzy tolerance relations and combining with dominance relations, a tolerance class of a fuzzy tolerance relation is further decomposed into a positive fuzzy tolerance class, a negative fuzzy tolerance class and a purely fuzzy tolerance cla...