Rough set (RS) and generalized rough set theories utilize single relations to obtain approximations of sets on a given universe of discourse. In granular computation, this is called single granularity. This article first expands α-fuzzified RSs established on fuzzy tolerance relation to α-optimistic multi-granulation fuzzified RSs by using a set of tolerance fuzzy relations over a given universe. Moreover, several elementary measures are proposed in this framework. Its application in feature selection has been highlighted through experimental analysis.

rough sets, fuzzy rough sets, multi-granulation rough sets, a-fuzzified rough sets

Received: March 28, 2024; Accepted: May 17, 2024; Published: June 15, 2024

How to cite this article: Tanzeela Shaheen, Wajid Ali, Bilal Hussain and Afshan Qayyum, A novel multi-granulation model based on α-fuzzified rough set environment and its application in classification, Advances in Fuzzy Sets and Systems 29(1) (2024), 39-68. http://dx.doi.org/10.17654/0973421X24003

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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