Fuzzy topological spaces
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This article is published in Journal of Mathematical Analysis and Applications.The article was published on 1968-10-01 and is currently open access. It has received 1997 citations till now. The article focuses on the topics: Topological tensor product & Topological space.read more
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Dual attachment pairs in categorically-algebraic topology
TL;DR: In this paper, a topological structure called categorically-algebraic (catalg) topology is proposed, which is based on the notion of dual attachment, which was introduced by the authors of this paper.
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The ⊤-filter monad and its applications
Yueli Yue,Jinming Fang +1 more
TL;DR: It is proved that a probabilistic uniform space is ⊤-Hausdorff separated complete space if and only if it is an algebra with respect to the separated completion ⊬-filter monad.
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A NEW FORM OF FUZZY ß-COMPACTNESS
TL;DR: In this article, a new form of β-compactness is introduced in L-topological spaces by means of β open L-sets and their inequality where L is a complete de Morgan algebra.
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Order-congruences on s-posets
Xiang-Yun Xie,Xiaoping Shi +1 more
TL;DR: In this article, order-congruences on a S-poset A and quasi-chains module p are studied and homomorphism theorems of order-congruences are given, which is similar to the one of ordered semigroups.
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FUZZY r-REGULAR OPEN SETS AND FUZZY ALMOST r-CONTINUOUS MAPS
Seok Jong Lee,Eun Pyo Lee +1 more
TL;DR: The concepts of fuzzy r-regular open sets and fuzzy almost r-continuous maps in the fuzzy topology of Chat- topadhyay are introduced and the equivalent conditions of the fuzzy almostr-continuity are investigated.
References
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L-fuzzy sets
TL;DR: This paper explores the foundations of, generalizes, and continues the work of Zadeh in [I] and [2].