We consider several basic classes of tolerance relations among objects. These (global) relations are deened from some predeened similarity measures on values of attributes. A tolerance relation in a given class of tolerance relations is optimal with respect to a given decision table A if it contains only pairs of objects with the same decision and the number of such pairs contained in the relat...

In this paper, we introduce a novel approach which is capable of computing transitive closure optimally for relations with varying properties. The new approach is derived from two classical software fault tolerance methods, namely N-Version Programming and Recovery Blocks. We show how these methods are used to optimise the computation of transitive closure for database relations. The performanc...

to evaluate the effects of water deficit stress in barley germplasm collection of national gene bank ofiran, 25 genotypes collected from arid and semi arid provinces of iran and 3 sample cultivars werestudied in two environments including: non-stressed and water deficit stress. agronomical, phenologicaland morphological traits were measured. stress indices were calculated to determine tolerant ...

The relations of systolic and diastolic blood pressures to alcohol intake and exercise tolerance levels in 15,612 men and 3,855 women were investigated. Alcohol intake was assessed by questionnaire and stratified into seven levels for men and six for women according to the ounces of ethanol consumed per week. Exercise tolerance was determined by maximal treadmill exercise testing and was catego...

The article calls attention to the relationship between neighbourhoods and tolerance classes in the foundations of tolerance near sets. A particular form of tolerance relation is given by way of introduction to descriptively ε-near sets. Neighbourhoods and tolerance classes have practical applications in digital image analysis. Mathematics Subject Classification: 03E15, 11K55, 54E17, 54E40

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...

The classical rough set theory based on complete information systems stems from the observation that objects with the same characteristics are indiscernible according to available information. With respect to upper-approximation and lower-approximation defined on an indiscernibility relation it classifies objects into different equivalent classes. But in some cases such a rigid indiscernibility...

due to limitations in computing resources of mobile nodes, mobile ad-hoc networks (manets) are very fault-prone. so far, redundancy at different levels of the network has been considered an efficient strategy to enhance the fault-tolerance of networks. indeed, ad-hoc networks are extremely redundant; therefore, natural redundancy to fault tolerance enhancement has a great impact on the network ...