KEY WORDS Contextual spaces, context relation, contextual rough sets, elements of a contextual rough set, the counterpart of the axiom of extensionality. ABSTRACT This paper originates from the conceptions of rough sets presented by Pawlak (1982, 1992). It also refers to Ziarko's conception (1993) and the conceptions of Blizard's multisets (1989a, 1989b), Zadeh's fuzzy sets (1965), and the auth...

Rough data envelopment analysis (RDEA) evaluates the performance of the decision making units (DMUs) under rough uncertainty assumption. In this paper, new discussion regarding RDEA is extended. The RSBM model is proposed by integrating SBM model and rough set theory. The process of reaching solution is presented and this model is applied to efficiency evaluation of the DMUs with uncertain ...

This paper considers the problem of a generalized model for conflict analysis and resolution. Such a model would be helpful in analyzing and resolving conflict in disputes in both government and industry, where disputes and negotiations about various issues are the norm. The issue here is how to model a combination of situations among agents i) where there are disagreements leading to a conflic...

We use the notion of the rough set diagram introduced by Wasilewska and Vigneron 8] to present a general decision procedure for validity of equations in rough boolean algebra. First, we establish equivalence of validity in rough boolean algebra to validity in so called simple rough boolean algebra. Second, we propose a decision method for simple rough boolean algebra, which is to construct and ...

I n t,his pappr, t,hr principle and experiment a1 resu1t.s of an atI.ritiut.e-orieiit.pd rough set. approach for knowledge tiisc,overy in databases are described. Our riiet.hod integriLt(Js thc &abase operation, rough set t 'hrory and ma( .hi l i (> lcarnirig t ,echiques. In our rriethod, we consider t )J? learning procedure consisk of t.wo phases: dat,a genwiilization aiid data reduction. I r ...

The paper is devoted to concern a relationship between rough set theory and universal algebra. Notions of lower and upper rough approximations on an algebraic structure induced by an ideal are introduced and some of their properties are studied. Also, notions of rough subalgebras and rough ideals with respect to an ideal of an algebraic structure, which is an extended notion of subalgebras and ...

for efficiency evaluation of some of the decision making units that have uncertain information, rough data envelopment analysis technique is used, which is derived from rough set theorem and data envelopment analysis (dea). in some situations rough data alter nonradially. to this end, this paper proposes additive rough–dea model and illustrates the proposed model by a numerical example.