Fuzzy topology via fuzzy geometric logic with graded consequence

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• 作者：Mihir K. Chakraborty^a ; ^{mihirc4@gmail.com} ; Purbita Jana^b ; ¹ ; ^{purbita_presi@yahoo.co.in}
• 关键词：Geometric logic ; Fuzzy geometric logic ; Graded frame
• 刊名：International Journal of Approximate Reasoning
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：80
• 期：Complete
• 页码：334-347
• 全文大小：435 K
• 卷排序：80

文摘

Fuzzy geometric logic and geometric logic with graded consequence are introduced. Graded fuzzy topological system is introduced. Notion of graded frame is introduced. Fuzzy topological space with graded inclusion is introduced via fuzzy geometric logic with graded consequence. This work is a generalization of Vickers' idea of topology via geometric logic.