Clearly, the Forte relation is an

equivalence relation in [\[Z.sub.n]\.sup.m].

Each story portrays an

equivalence relation visually and verbally without any student interaction.

The solution offered by Williamson's account is to replace the matching relation of the intiutive criterion by what he calls a "maximal M-relation", which is an

equivalence relation "included" in the matching relation than which no other similarly included

equivalence relation is "larger".

There are two basic elements in rough set theory, crisp set and

equivalence relation ,which constitute the mathematical basis of RSs.

When a split epimorphism (f, s) : X [??] Y is algebraically exponentiable, the induced endofunctor [f.sup.*].Of on [Pt.sub.X]C is (up to a natural isomorphism) equal to the endofunctor [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], where [p.sub.0] and [p.sub.1] are given by the kernel

equivalence relation:

Recall that an

equivalence relation = defined on [A.sup.*] is a congruence if for all u, u', v, v' [member of] [A.sup.*], u [equivalent to] u' and v [equivalent to] v' imply u.v [equivalent to] u'.v'.

First, when both derived relations probes contain one node, the transitive relation comparison would have to be strongly preferred to a corresponding

equivalence relation comparison, which is consistent with the outcome reported by Doran and Fields (2012).

It is merely an

equivalence relation in which conceptual stimuli are class members.

Definition 2.1 [8]: Let U be a non-empty finite set of objects called the universe and R be an

equivalence relation on U named as the indiscernibility relation.

A relation that is reflexive, symmetric, and transitive is called an

equivalence relation. When R is an

equivalence relation over A, the equivalence class of an element x [member of] A is the subset of all elements in A that bear this relation to x.

The accuracy of rough set X about the

equivalence relation R is defined as