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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.

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Citations
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Journal Article

Base and subbase in intuitionistic I-fuzzy topological space

TL;DR: The concepts of the base and subbase in intuitionistic Ifuzzy topological spaces are introduced, and they are used to discuss fuzzy continuous mapping and fuzzy open mapping.
Dissertation

Culture boundaries in semantic web

TL;DR: In this article, the authors analyze the culture boundary representation in semantic web and find that the cultural boundary question remains "taboo" in Semantic Web also, that is recently developing for cultural data in order to help to represent the meaning in a restricted sense.
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A note on K. K. Azad's fuzzy Hausdorffness concept

TL;DR: A new concept of fuzzy Hausdorffness, called α -Hausdorfness, related to Azad's concept, is proposed and it is observed that it, in addition to being free from the drawbacks in Azad’s concept, also possesses several pleasing properties.
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Discrete dynamical systems in L-topological spaces

TL;DR: In this paper, iteration of Zadeh image operators and their discrete dynamical systems in L-topological spaces are investigated and basic concepts such as limit set, invariant set, periodic point, nonwandering point, and recurrent point are discussed in weakly induced topological spaces.
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Regularity in fuzzy convergence spaces

TL;DR: Each is shown to be an extension of regularity with respect to the embedding functor from the category of convergence spaces, and the category whose objects are weakly regular fuzzy spaces is topological and thus initial and final regular structures exist.
References
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Journal ArticleDOI

L-fuzzy sets

TL;DR: This paper explores the foundations of, generalizes, and continues the work of Zadeh in [I] and [2].