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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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On fuzzy neighbourhood spaces

TL;DR: The behaviour of the fuzzy closure operator of a fuzzy neighbourhood space (fns) with regard to the two operations of sum ‘+’ and conjunction ‘&’ on fuzzy subsets is studied.
Journal ArticleDOI

The subspace problem in the traditional point-set context of fuzzy topology

TL;DR: This work unify notation and language and compare the different frameworks in the traditional point-set context and uses only the real unit interval as a lattice in order to define fuzzy sets.
Posted Content

Fuzzy functions and an extension of the category L-Top of Chang-Goguen L-topological spaces

Abstract: We study FTOP(L), a fuzzy category with fuzzy functions in the role of morphisms. This category has the same objects as the category L-TOP of Chang-Goguen L-topological spaces,but an essentially wider class of morphisms - so called fuzzy functions introduced earlier in our joint work with U. Hohle and H. Porst.
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Properties of fuzzy (r, s)-semi-irresolute Mappings in Intuitionistic Fuzzy Topological Spaces

TL;DR: The concept of fuzzy (r, s)-semi-irresolute mappings on intuitionistic fuzzy topological spaces in Sostak’s sense is introduced, which is a generalization of the idea of fuzzy semi-ir ResoluteMappings introduced by S. Malakar.
BookDOI

Decision theory and choices : a complexity approach

TL;DR: In this paper, the authors present an agent-based tool to build Artificial Worlds and a Physicist's approach to phase controlling Chaotic Economic Models of the financial market in the light of the present financial Crises.
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].