In this paper, two similarity measures are proposed: one for the similarity between rough sets in the classical rough set theory based on indiscernibility relation and the other between rough sets in the extended rough set theory based on limited tolerance relation. The proposed measures can provide a useful way for measuring the degree of similarity between rough sets. Key-words: Rough set; In...

In this paper a particular case of z-ideals, called strongly z-ideal, is defined by introducing zero sets in pointfree topology. We study strongly z-ideals, their relation with z-ideals and the role of spatiality in this relation. For strongly z-ideals, we analyze prime ideals using the concept of zero sets. Moreover, it is proven that the intersection of all zero sets of a prime ideal of C(L),...

Rough set theory provides an effective tool to deal with uncertain, granular, and incomplete knowledge in information systems. Matroid theory generalizes the linear independence in vector spaces and has many applications in diverse fields, such as combinatorial optimization and rough sets. In this paper, we construct a matroidal structure of the generalized rough set based on a tolerance relati...

Plant tolerance of heat stress involves various changes at physiological and molecular levels. The objective of this study was to examine the expression of a gene encoding expansin protein in relation to heat tolerance in two C(3) grass species and genotypes differing in heat tolerance. Heat-tolerant, thermal Agrostis scabra, adapted to high temperatures in geothermal areas in Yellowstone Natio...

this research examines the relationship between social participation and social tolerance. to examine the social tolerance the classification of vogt has been used and to examine the social participation, theories of participation has been studied. population of research is all of students in payam noor university of meshkinshahr (3041 people).according to cochran formula, 307 persons have been...

The rough set theory, based on the indiscernibility relation, is not useful for analysing incomplete information. Therefore, we introduce two generalizations of this theory, besides the well known one based on tolerance relations. The rst proposal is based on non symmetric similarity relations, while the second one uses valued tolerance relation. Both approaches provide more informative results...

The identification of the cognitive, affective, social and even physiological factors affecting second or foreign language learning routes and rate has for long been a challenging aspiration for second language researchers. However, a recent preoccupation of the researchers in this area has been the study of the combinatorial impacts of such factors on second or foreign language learning proces...

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...