A new methodology for fuzzification of rough sets based on α-indiscernibility

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• 作者：Muhammad Shabir ^{mshabirbhatti@yahoo.co.uk} ; Tanzeela Shaheen ; ^{tanzeela_qau@hotmail.com}
• 关键词：Fuzzy set ; Rough set ; α-Indiscernibility ; Compatibility relation ; α-fuzzified rough set
• 刊名：Fuzzy Sets and Systems
• 出版年：2017
• 出版时间：1 April 2017
• 年：2017
• 卷：312
• 期：Complete
• 页码：1-16
• 全文大小：372 K
• 卷排序：312

文摘

This paper presents a new framework for fuzzification of rough sets when the objects are α-indiscernible, that is, indiscernible up to a certain degree α. To this end, a fuzzy proximity relation has been used. Basic properties of the so-called α-fuzzified rough sets are examined. Following Radzikowska and Kerre [28] approach, the technique is further generalized using t-norms and implication operators. Two algorithms followed by an example have also been presented for practical applications of the new technique.