• MATRIX REPRESENTATION OF FINITE SOFT TOPOLOGIES

DR. R. ANGELINE CHELLA RAJATHI, DR. U. KUMARAN*, DR. M. KIRUTHIKA

Abstract


In this paper, matrix representation of a finite soft topology is discussed. Muhammad Shabir and MunazzaNaz have shown that every soft topology gives a parametrized family of topologies on a set X. However they have an example to show that the converse is not true. The converse is discussed hereand it is established that every finite soft topology with finite parameter space is represented by a matrix whose elements are sets and each row represents a finite topology on X and conversely every such matrix represents a finite soft topology.

Keywords


Soft sets, Soft Topology, Soft open, Soft closed, Parametrized family.

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