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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Fuzzy sets and sheaves. Part II:: Sheaf-theoretic foundations of fuzzy set theory with applications to algebra and topology
TL;DR: It is shown that large parts of fuzzy set theory are actually subfields of sheaf theory, resp.
Book
Shape in Picture: Mathematical Description Of Shape In Grey-Level Images
TL;DR: In this paper, the Khalimsky Line is used as a foundation for digital topology, and a new concept for digital geometrical topology is introduced, called the topological foundations of shape analysis.
Posted Content
Intuitionistic Fuzzy Ideals Topological Spaces
A. A. Salama,S. A. Alblowi +1 more
TL;DR: The notion of intuitionistic fuzzy ideals is introduced which is considered as a generalization of fuzzy ideals studies in [1, 2, 3, 11], the important intuitionism fuzzy ideal has been given and several properties of all investigated new notions are discussed.
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Dual fuzzy neighbourhood spaces I
TL;DR: In this paper, a general method for constructing bases for all fuzzy neighbourhood systems, in a natural way, from the fuzzy topologies of a special type of fuzzy topological spaces (fts's), which are called the fuzzy neighbourhood-base spaces, is presented.
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Similarity of fuzzy relations based on fuzzy topologies induced by fuzzy rough approximation operators
Zhaowen Li,Rongchen Cui +1 more
TL;DR: It is proved that every fuzzy relation is uniquely similar to some fuzzy preorder relation and a characteristic condition for fuzzy relations to be transitive is established.
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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].