Properties of Multigranular Rough Sets on Fuzzy Approximation Spaces and their Application to Rainfall Prediction

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B.K. Tripathy 1,* Urmi Bhambhani 1

1. VIT University, SCOPE, Vellore-632014, INDIA

* Corresponding author.


Received: 30 Jun. 2017 / Revised: 23 Sep. 2017 / Accepted: 11 Nov. 2017 / Published: 8 Nov. 2018

Index Terms

Rough sets, multigranulation, fuzzy approximation space, rain prediction


Basic rough set model introduced by Pawlak in 1982 has been extended in many directions to enhance their modeling power. One such attempt is the notion of rough sets on fuzzy approximation spaces by De et al in 1999. This basic model uses equivalence relation for its definition, which decompose the universal set into disjoint equivalence classes. These equivalence classes are called granules of knowledge. From the granular computing point of view the basic rough set model is unigranular in character. So, in order to handle more than one granular structure simultaneously, two types of multigranular rough sets, called the optimistic and pessimistic multigranular rough sets were introduced by Qian et al in 2006 and 2010 respectively. In this paper, we introduce two types of multigranular rough sets on fuzzy approximation spaces (optimistic and pessimistic), study several of their properties and illustrate how this notion can be used for prediction of rainfall. The introduced notions are explained through several examples.

Cite This Paper

B.K. Tripathy, Urmi Bhambhani, "Properties of Multigranular Rough Sets on Fuzzy Approximation Spaces and their Application to Rainfall Prediction", International Journal of Intelligent Systems and Applications(IJISA), Vol.10, No.11, pp.76-90, 2018. DOI:10.5815/ijisa.2018.11.08


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