A Unified Theory (I) for Neighborhood Systems and Basic Concepts on Fuzzifying Topological Spaces

• 作者: Osama Rashed Sayed
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: LUKASIEWICZ LOGIC SEMANTICS FUZZIFYING TOPOLOGY
• 年，卷（期）: 2012,（9）
• 页码范围: 983-996
• 页数: 14页
• 分类号: O1

摘要

This paper considers fuzzifying topologies, a special case of I-fuzzy topologies (bifuzzy topologies), introduced by Ying. It investigates topological notions defined by means of -open sets when these are planted into the frame-work of Ying’s fuzzifying topological spaces (by Lukasiewicz logic in [0, 1]). In this paper we introduce some sorts of operations, called general fuzzifying operations from P(X) to , where (X, τ) is a fuzzifying topological space. By making use of them we contract neighborhood structures, derived sets, closure operations and interior operations.