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Generated I-fuzzy topological spaces
Fuzzy Sets and Systems, 2005Let \textbf{TOP} denote the category of topological spaces; [0, 1]-\textbf{TOP} the category of [0, 1]-topological spaces; \textbf{FYS} the category of fuzzifying topological spaces; and [0, 1]-\textbf{FTOP} the category of Šostak fuzzy topological spaces. The authors construct a pair of functors \(\omega:\) \textbf{FYS}\(\to [0, 1]\)-\textbf{FTOP} and
Yue, Yueli, Fang, Jinming
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1999
The author proposes an extension of pursuit evasion topological games [\textit{R. Telgarsky}, Fundam. Math. 88, 193-223 (1975; Zbl 0311.54025)] onto fuzzy topological spaces. Definitions of fuzzy topological games, fuzzy strategies, fuzzy winning strategies and fuzzy stationary winning strategies are given and some necessary and sufficient conditions ...
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The author proposes an extension of pursuit evasion topological games [\textit{R. Telgarsky}, Fundam. Math. 88, 193-223 (1975; Zbl 0311.54025)] onto fuzzy topological spaces. Definitions of fuzzy topological games, fuzzy strategies, fuzzy winning strategies and fuzzy stationary winning strategies are given and some necessary and sufficient conditions ...
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2003
Fuzzy topology has used a definition which has an L-topological space consisting of a crisp set of fuzzy subsets of a crisp set. The notion of a topological space object in SET(L) provides a generalization of this concept to that of a fuzzy set of fuzzy subsets of a fuzzy set.
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Fuzzy topology has used a definition which has an L-topological space consisting of a crisp set of fuzzy subsets of a crisp set. The notion of a topological space object in SET(L) provides a generalization of this concept to that of a fuzzy set of fuzzy subsets of a fuzzy set.
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Proto-metrizable fuzzy topological spaces
1999In this paper we define for fuzzy topological spaces a notion corresponding to protometrizable topological spaces. We obtain some properties of these fuzzy topological spaces, particularly we give relations with non-archimedean, and metrizable fuzzy topological spaces.
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Neutrosophic Hypersoft Topological Spaces [PDF]
Neutrosophic Sets and Systems, 2021 Hypersoft sets have gained more importance as a generalization of soft sets and have been investigated for possible extensions in many fields of mathematics.
D. Ajay, J. Joseline Charisma
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Fuzzy $\mu^*$-Open Set and Fuzzy $\mu^*$-Continuous Function [PDF]
Sahand Communications in Mathematical Analysis, 2023 The prime goal of this article is to initiate the notion of fuzzy $\mu^*$-open(closed) sets and fuzzy $\mu^*$-continuous functions and characterize them.
Pankaj Chettri, Bishal Bhandari
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