Rough Modular Lattice
نویسندگان
چکیده
This paper presents the study of modular lattice under rough set environment and referred to herein a concept is called rough modular lattice. We study the properties of lattice in an approximation space and defined as rough lattice, rough sublattice and bounded rough lattice. We consider the approximation space by means of an equivalence relation and also we present the rough set as pair of set (lower and upper approximation sets). The aim of this paper is to study the properties of lattice in an approximation space based on Pawlak’s notion of indiscernibility relation between the objects in a set. Some important results are established. Finally some examples are presented to usefulness and truthfulness the lemma and proposition. c ©2013 World Academic Press, UK. All rights reserved.
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